Mathematical Applications for the Management, Life and Social Sciences 12th Ed Ronald

Test Bank For Mathematical Applications for the Management, Life and Social Sciences 12th Edition by TEST BANK FOR RonaldforHarshbarger and James Reynolds Mathematical Applications the Management, Life and Social Sciences 12th Edition by Ronald J.

Chapter 0-14

Harshbarger, James J. Reynolds Chapter 00: Algebraic Concepts

1. Use

in blank place to indicate whether the given object is an element of the given set.

a. b. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 2. Use

in blank place to indicate whether the given object is an element of the given set.

a. b. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 3. Use

in blank place to indicate whether the given object is an element of the given set.

a. b. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 4. Use

in blank place to indicate whether the given object is an element of the given set.

a. b. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 5. Write the following set a second way.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 6. Write the following set a second way.

a. b. c. d. Copyright Cengage Learning. Powered by Cognero.

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e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 7. If

and

, is A a subset of B?

a. yes b. no ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 8. Is

, if

and

a. yes b. no ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 9. Use

notation to indicate which of the sets E and F is a subset of the other. ,

a. b. c. d.

and

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 10. Use

notation to indicate all containment relations between the following two sets. ,

a. b. c. d.

and

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 11. Indicate whether the following sets are equal. , a. b. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 12. Indicate whether the following sets are equal. , a. b. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/25/2020 7:02 AM

13. If the sets A and B are nonempty and disjoint, what does

equal?

a. b. c. A d. B e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 14. Find

, the intersection of sets A and B. and

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 15. Find

, the intersection of sets A and B. and

a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 16. Find

, the intersection of sets A and B.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 17. Find

, the union of sets A and B. and

, the union of sets A and B.

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a. b. c. d.

is a set of natural numbers.

e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 19. Assume that

and that U is the universal set of natural numbers less than 11. Find A'.

and that U is the universal set of natural numbers less than 11.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 21. Assume that .

and that U is the universal set of natural numbers less than 11. Find

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 22. Assume that .

and that U is the universal set of natural numbers less than 11. Find

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 23. Assume that Find .

and that U is the universal set of natural numbers less than 11.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 24. Assume that than 11. Find

and that U is the universal set of natural numbers less

if the universal set

. Page 9

, a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 27. Find

if the universal set

, a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 28. Find

if the universal set

, a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 29. Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following. 2 advertised in all three 5 advertised in These Times and U.S. News 22 advertised in World and U.S. News 12 advertised in World and These Times 18 advertised in These Times 32 advertised in U.S. News 35 advertised in World How many advertised in none of these publications? a. 15 b. 85 c. 52 d. 87 e. 0 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 30. Suppose that a survey of 37 advertisers in U.S. News, These Times, and World found the following. 2 advertised in all three 4 advertised in These Times and U.S. News 10 advertised in World and U.S. News 4 advertised in World and These Times 14 advertised in These Times 19 advertised in U.S. News 20 advertised in World How many advertised only in These Times? a. 8 b. 53 c. 14 d. 10 e. 37 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 31. Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following. 9 advertised in all three 20 advertised in These Times and U.S. News 16 advertised in World and U.S. News 27 advertised in World and These Times 40 advertised in These Times 37 advertised in U.S. News 38 advertised in World How many advertised in U.S. News or These Times? a. 57 b. 115 c. 12 d. 21 e. 23 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 32. In a survey of the dining preferences of 42 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. 14 liked AL but not PT 8 liked AL only 19 liked AL 26 liked PT 21 liked DH 2 liked PT and AL but not DH 13 liked PT and DH How many liked PT or DH? a. 23 b. 26 c. 92 d. 13 e. 34 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

e 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 33. In a survey of the dining preferences of 58 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. 11 liked AL but not PT 1 liked AL only 15 liked AL 34 liked PT 37 liked DH 1 liked PT and AL but not DH 14 liked PT and DH How many liked all three? a. 36 b. 16 c. 107 d. 3 e. 58 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 34. In a survey of the dining preferences of 78 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. 29 liked AL but not PT 17 liked AL only 41 liked AL 31 liked PT 35 liked DH 10 liked PT and AL but not DH 5 liked PT and DH How many liked only DH? a. 30 b. 18 c. 65 d. 33 e. 35 ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 35. Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural.

a. integer b. rational c. rational, integer d. rational, integer, natural e. irrational ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 36. Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. –1.1432 a. integer b. rational c. rational, integer d. rational, integer, natural e. irrational ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 37. Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. 1.82 a. integer b. rational Copyright Cengage Learning. Powered by Cognero.

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c. rational, integer d. rational, integer, natural e. irrational ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 38. Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural.

a. integer b. rational c. rational, integer d. rational, integer, natural e. irrational ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 39. Which property of the real numbers is illustrated in this equality?

a. additive identity b. multiplicative inverse c. associative d. multiplicative identity e. commutative ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM Copyright Cengage Learning. Powered by Cognero.

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40. Which property of the real numbers is illustrated in this equality?

a. additive identity b. multiplicative inverse c. associative d. multiplicative identity e. commutative ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 41. Which property of the real numbers is illustrated in this equality?

a. additive identity b. multiplicative inverse c. additive inverse d. multiplicative identity e. associative ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 42. Choose the proper

, or

symbol to replace

a. b. c. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED: 43. Choose the proper symbol

11/25/2020 7:03 AM 11/25/2020 7:03 AM ,

, or

to replace

a. b. c. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 44. Choose the proper symbol

, or

to replace

a. b. c. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 45. Choose the proper symbol

, or

to replace

a. Copyright Cengage Learning. Powered by Cognero.

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b. c. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 46. Evaluate the following expression.

a. 3 b. 128 c. 53 d. –72 e. –3 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 47. Evaluate the following expression.

a. 7 b. 19 c. 76 d. 28 e. 67 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 48. Evaluate the following expression. Copyright Cengage Learning. Powered by Cognero.

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a. 18 b. 10 c. 4 d. 9 e. 14 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 49. Evaluate the following expression.

a. –24 b. 12 c. 24 d. –12 e. –3 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 50. Evaluate the following expression.

a. b. c.

Page 19

d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 51. Evaluate the following expression.

a. 68 b. –2 c. 4 d. 34 e. –68 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 52. Evaluate the following expression.

a. –1 b. 7 c. 2 d. –2 e. 3 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

53. Choose the interval which corresponds to

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 54. Express the inequality using interval notation.

a. closed interval b. open interval c. half-open interval ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 56. Express the graph below using interval notation.

a. closed interval interval b. open interval interval c. half-open interval interval ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 58. Choose the inequality that describes the interval below.

a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 59. Choose the inequality that describes the graph below.

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d 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 64. Choose the graph that represents this subset of the real numbers.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 65. Choose the correct interval notation for this subset of the real numbers.

a. b. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/25/2020 7:03 AM

67. Use your calculator to approximate the following expression.

a. 3.92476425 b. 0.25479237 c. 2.54792374 d. 0.02547924 e. 39.2476425 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 68. Use your calculator to approximate the following expression.

Round your answer to eight decimal places. a. 106.17447681 b. 1094.03242650 c. 175.26440141 d. 340.82007056 e. 33.07616100 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 69. Use your calculator to approximate the following expression.

Round your answer to eight decimal places. a. –5610.05475213 b. –9780.50273761 Copyright Cengage Learning. Powered by Cognero.

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c. –280.50273761 d. 4289.94524787 e. 119.49726239 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 70. The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. Which -value represents the year 1970? a. 45 b. 20 c. 30 d. 25 e. 35 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 71. The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. The actual tax load for 1985 was 34.9%. What does the formula give as an approximation? Round your answer to one decimal place. a. 17.3% b. 36.1% c. 34.6% d. 15.0% e. 33.3% ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 72. The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. Approximate the tax load for year 2013. Round your answer to one decimal place. Copyright Cengage Learning. Powered by Cognero.

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a. 53.8% b. 40.5% c. 41.5% d. 52.2% e. 21.9% ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 73. From data adapted from the National Center for Health Statistics, the height in inches and age in years for boys between 4 and 16 years of age are related according to . To account for normal variability among boys, normal height for a given age is of the height obtained from the equation. Find the inequality which represents the normal height range for a boy who is 15.5 years old. Round your answer to two decimal places. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 74. Based on data adapted from the National Center for Health Statistics, the height in inches and age in years for boys between 4 and 16 years of age are related according to . To account for normal variability among boys, normal height for a given age is of the height obtained from the equation. Find the inequality which represents the normal height range for a boy who is 7.75 years old. Round your answer to two decimal places. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 75. Evaluate the expression.

a. –27 b. 27 c. 81 d. 27 e. –81 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 76. Evaluate the expression.

a. 8 b. 16 c. –8 d. –16 e. 4 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 77. Evaluate the expression.

a. b. c. 7 d.

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e. undefined ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 78. Evaluate the expression.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 79. Use the rules of exponents to simplify the expression.

a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 80. Use the rules of exponents to simplify the expression.

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82. Use the rules of exponents to simplify the expression.

Page 34

84. Simplify the expression so that it contains only positive exponents

Page 35

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 88. Use the rules of exponents to simplify the expression so that only positive exponents remain.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 89. Use the rules of exponents to simplify the expression so that only positive exponents remain.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 90. Use the rules of exponents to simplify the expression so that only positive exponents remain.

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 91. Use the rules of exponents to simplify the expression.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 93. Use the rules of exponents to simplify the expression.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 95. Compute and simplify so that only positive exponents remain.

a. b. c. d.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 96. Compute and simplify so that only positive exponents remain.

a. b. c. d.

e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

97. Compute and simplify so that only positive exponents remain.

b. c.

e. ANSWER: POINTS:

e 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 99. Compute and simplify so that only positive exponents remain.

a. b. c.

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a. b. c. d.

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e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 103. Compute and simplify so that only positive exponents remain.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 104. In many applications, it is often necessary to write expressions in the form integer. Write the expression below in this form.

, where c is a constant and n is an

a. b. c. d.

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, where c is a constant and n is an

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 106. In many applications, it is often necessary to write expressions in the form integer. Write the expression below in this form.

, where c is a constant and n is an

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 107. In many applications, it is often necessary to write expressions in the form integer. Write the expression below in this form.

, where c is a constant and n is an

a. 594.823 b. –594.823 c. –205.111 d. –1724.988 e. 205.111 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

109. Use a calculator to approximate the indicated power. Round your answer to five decimal places.

a. –0.01522 b. 119.42589 c. –65.68424 d. 65.68424 e. 0.01522 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 110. If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find S for the given P, n, and i. Round your answer to two decimal places. $2,700 for 7 years at 12% a. $5,968.84 b. $3,268.84 c. $5,329.32 d. $1,103.42 e. $6,685.1 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 111. If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find I for the given P, n, and i. Round your answer to two decimal places. $1,700 for 8 years at 8% a. $3,146.58 b. $1,213.5 c. $872.47 Copyright Cengage Learning. Powered by Cognero.

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d. $1,446.58 e. $4,846.58 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 112. If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find S for the given P, n, and i. Round your answer to two decimal places. $900 for 20 years at 11.25% a. $6,690.02 b. $8,443.9 c. $6,822.49 d. $8,490.02 e. $7,590.02 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 113. If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find I for the given P, n, and i. Round your answer to two decimal places. $850 for 18 years at 11.5% a. $6,030.68 b. $5,180.68 c. $5,874.21 d. $6,880.68 e. $4,558.68 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM Copyright Cengage Learning. Powered by Cognero.

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114. If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by . Find P for the given S, n, and i. Round your answer to two decimal places. $12,000 after 9 years at 7.5% a. $5,949.18 b. $6,050.82 c. $6,259 d. $7,233.06 e. $5,741 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 115. If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by . Find P for the given S, n, and i. Round your answer to two decimal places. $75,000 after 25 years at 10.5% a. $6,180.23 b. $2,139.62 c. $6,829.15 d. $7,546.21 e. $4,684.22 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM

116. Suppose the number of endangered species y can be approximated by the formula

where

t is the number of years past 1980. How many species does the formula estimate will be added to the endangered species list between 2007 and 2020? Round your answer to the nearest whole number. a. 213 species. b. 208 species. c. 219 species. d. 214 species. e. 207 species. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 117. Assume that the national health care expenditure H (in billions of dollars) can be modeled (that is, accurately approximated) by the formula where t is the number of years past 1960. Approximate the national health expenditure in 1971. Round your answer to the nearest tenth of a billion. a. $77.5 billion b. $64.8 billion c. $70.9 billion d. $70.4 billion e. $77 billion ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 118. Evaluate the following expression if it represents a real number.

a. 27 b. 9 c. –27 d. –9 e. not a real number ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 119. Evaluate the following expression if it represents a real number.

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a. 32 b. 1,048,576 c. –65,536 d. –32 e. not a real number ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 120. Evaluate the following expression if it represents a real number.

a. 8 b. 16 c. 2 d. 1.26 e. 2.52 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 121. Evaluate the following expression if it represents a real number.

a. 0.001 b. 729 c. –0.001 d. 6,561 e. not a real number ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

122. Evaluate the following expression if it represents a real number.

a. b. 4 c. d. 2 e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 123. Evaluate the following expression if it represents a real number.

a. 243 b. 2.40822 c. 3486784401 d. 81 e. 3.94822 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 124. Evaluate the following expression if it represents a real number.

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a. b. c. d. e. not a real number ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 125. Evaluate the following expression if it represents a real number.

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a. 9 b. 27 c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 127. Evaluate the following expression if it represents a real number.

a. –81 b. –27 c. d. e. not a real number ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 128. Rewrite the radical with a fractional exponent.

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b. c.

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130. Replace the radical with a fractional exponent. Do not simplify.

d. e.

e. ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 132. Write the expression in radical form. Do not simplify.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 134. Write the expression in radical form. Do not simplify.

a. b.

d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 135. Use the properties of exponents to simplify the expression so that only positive exponents remain.

Page 58

d. e.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 137. Use the properties of exponents to simplify the expression so that only positive exponents remain.

b. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 138. Use the properties of exponents to simplify the expression so that only positive exponents remain.

e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 139. Use the properties of exponents to simplify the expression so that only positive exponents remain.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 140. Use the properties of exponents to simplify the expression so that only positive exponents remain.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 141. Use the properties of exponents to simplify the expression so that only positive exponents remain.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 142. Simplify the expression by using the properties of radicals. Assume nonnegative variables.

a. b. c. d. Copyright Cengage Learning. Powered by Cognero.

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e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 143. Simplify the expression by using the properties of radicals. Assume nonnegative variables.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 144. Simplify the expression by using the properties of radicals. Assume nonnegative variables.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 145. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 147. Perform the indicated operations and simplify. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 149. Perform the indicated operations and simplify. Copyright Cengage Learning. Powered by Cognero.

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ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 151. Use the properties of exponents to determine the value for x that makes the equation true.

a. b. –24 c. d. 24 e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 152. Use the properties of exponents and radicals to determine the value for x that makes the equation true.

a. b. 5 c. d. e. 4 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM Copyright Cengage Learning. Powered by Cognero.

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153. Use the properties of exponents and radicals to determine the value for x that makes the equation true.

a. b. 7 c. d. 14 e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 154. Rationalize the denominator and then simplify.

d. e.

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155. Rationalize the denominator and then simplify.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 158. In calculus, it is frequently important to write an expression in the form number. Write the expression in this form.

, where c is a constant and n is a rational

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 159. In calculus, it is frequently important to write an expression in the form number. Write the expression in this form.

, where c is a constant and n is a rational

c. d. e.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 160. In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 161. In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals.

a. b. c.

d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

162. The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . A quake measuring 6.5 on the Richter scale would be severe. Express the intensity of such a quake in exponential and radical form. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 163. The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by measuring 3.5 rounded to the nearest integer.

. Find the intensity of a quake

a. 3,162 b. 275,855 c. 56 d. 525 e. 7 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 164. The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . An earthquake occurred near San Francisco in 1923 that measured 6.9; another earthquake occurred in 1947 that measured 7.75. Calculate the ratio of these intensities (larger to smaller). Round your answer to six decimal places. a. 0.141254 Copyright Cengage Learning. Powered by Cognero.

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b. 1.123188 c. 13.279704 d. 7.079458 e. 0.010162 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 165. The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to

. Express

using radical notation when

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 166. The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to

. The background noise level of a relatively quiet room has a

decibel reading of 32. Find the intensity I of this noise level. Round your answer to three decimal places. a. 112,589.991 b. 2.054 c. 1,584.893 d. 2.954 e. 41.35 ANSWER: POINTS:

c 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 167. The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to

the intensity of this threshold and

. A decibel reading of 140 is at the threshold of pain. If

is the intensity when

, express the ratio

as a power of 10.

168. Use the fact that the quantity of a radioactive substance after t years is given by

where

a. b.

e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM

is the

original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay). The half-life of strontium-90 is 25 years. Find the amount of strontium-90 remaining after 8 years if your answer to one decimal place. a. 10.7 kg b. 74.5 kg c. 6.6 kg d. 116.1 kg e. 0.4 kg ANSWER:

. Round

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM

169. Use the fact that the quantity of a radioactive substance after t years is given by

, where

is the

original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay). The half-life of carbon-14 is 5,600 years. Find the amount of carbon-14 remaining after 11,500 years if your answer to four decimal places if required.

. Round

a. 24.26 g b. 47.6505 g c. 0.0002 g d. 8.1902 g e. 17 g ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 170. Suppose it has been determined that the sales at Ewing Gallery decline after the end of an advertising campaign, with daily sales given by , where S is in dollars and x is the number of days after the campaign ends. What are the daily sales 4 days after the end of the campaign? a. $1,592 b. $100 c. $800 d. $400 e. $200 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 171. What is the degree of the polynomial below? Copyright Cengage Learning. Powered by Cognero.

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a. 5 b. 11 c. 6 d. 1 e. 30 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 172. What is the coefficient of the highest-degree term in the polynomial below?

a. 9 b. –5 c. 7 d. 5 e. –9 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 173. What is the constant term in the polynomial below?

a. 8 b. –7 c. 7 d. 6 e. –6 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

174. Determine whether the following expression is a polynomial of one variable.

a. yes b. no ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 175. What is the degree of the polynomial below?

a. 4 b. 5 c. 9 d. 2 e. 11 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 176. What is the coefficient of the highest-degree term in the polynomial below?

a. 8 b. 9 c. –7 d. 6 e. 2 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 177. What is the constant term in the polynomial below?

a. 0 b. 6 c. 9 d. –5 e. 2 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 178. Determine whether the following expression is a polynomial of one variable.

a. yes b. no ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 179. A polynomial is an expression of form For the polynomial a. 0 b. 6 c. 2 d. 5 e. 4 ANSWER: POINTS: QUESTION TYPE:

what is

, where

is a positive integer.

b 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 180. A polynomial is an expression of form For the polynomial

what is

, where

is a positive integer.

, where

is a positive integer.

, where

is a positive integer.

a. 0 b. 8 c. –12 d. –9 e. 3 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 181. A polynomial is an expression of form For the polynomial

what is

a. 0 b. 2 c. –15 d. –9 e. 4 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 182. A polynomial is an expression of form For the polynomial

what is

a. 0 b. 13 c. –8 d. –12 e. 3 Copyright Cengage Learning. Powered by Cognero.

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and

a. –16 b. 0 c. –8 d. –2 e. –4 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 184. Evaluate the algebraic expression at the indicated value of the variable. at a. 20 b. c. 5 d. –20 e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM

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185. Evaluate

when

. Round your answer to four decimal places.

a. 91.6118 b. 10,963.4872 c. 1,526.8625 d. 657.8092 e. 182,724.7861 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 186. Simplify by combining like terms.

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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a. 0 b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 190. Simplify by combining like terms. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 192. Perform the indicated operations and simplify.

a. b.

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d. e.

a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 195. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 196. Perform the indicated operations and simplify.

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a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 198. Perform the indicated operations and simplify.

a. b. c.

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d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 200. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 201. Perform the indicated operations and simplify.

a. b. c. d. e.

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204. Perform the indicated operations and simplify.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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a. b.

c. d.

a. b.

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e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 209. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 211. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 213. Perform the indicated operations with expressions involving fractional exponents and then simplify.

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215. Perform the indicated operations with expressions involving fractional exponents and then simplify.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 216. Perform the indicated operations with expressions involving fractional exponents and then simplify.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 217. Perform the indicated operations with expressions involving fractional exponents and then simplify.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 219. Suppose a company’s revenue (in dollars) from the sale of units of its product is given by . Suppose further that the total costs (in dollars) of producing those units is given by . If profit is revenue minus cost, find the expression for the profit from the production and sale of units. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/25/2020 7:03 AM

220. Cell Pro makes cell phones and has total weekly costs of $1,500 for rent, utilities, and equipment, in addition to labor and material costs of $18.50 for each phone it makes. If

represents the number of phones produced and sold, choose the expression for Cell Pro’s weekly costs. a. b. c. d.

e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 221. Cell Pro makes cell phones and has total weekly costs of $1,000 for rent, utilities, and equipment, in addition to labor and material costs of $17.25 for each phone it makes. Assume that Cell Pro sells the phones to dealers for $45.50 each. Choose the expression for the weekly total revenue for the phones, where is the number of phones made and sold each week. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 222. Cell Pro makes cell phones and has total weekly costs of $1500 for rent, utilities, and equipment, in addition to labor and material costs of $17.75 for each phone it makes. Cell Pro’s weekly profit is the total revenue minus the total cost. Choose the expression for Cell Pro’s weekly profit if each phone sells for $37.50, where is the number of phones made and sold each week. a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 223. Suppose that you have $7,000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the amount invested at 8%. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 224. Suppose that you have $6,000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the invested earned on the money invested at 8%. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 225. Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Choose the Copyright Cengage Learning. Powered by Cognero.

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expression for

in terms of .

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 226. Suppose that a nurse needs 35 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Choose the expression for the amount of ingredient in the 5% solution. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 227. Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Express the total amount of the ingredient in the mixture in terms of . a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 228. Factor by finding the common monomial factor.

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a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 233. Factor by grouping.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 235. Factor the expression as a product of binomials. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 238. Factor the expression as a product of binomials.

a. Copyright Cengage Learning. Powered by Cognero.

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b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 241. Factor the expression as a product of binomials.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

243. Factor the expression completely.

a. Copyright Cengage Learning. Powered by Cognero.

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b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 246. Factor the expression completely.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

248. Factor the expression completely.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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253. Factor the expression completely.

a. b. c.

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a. b.

c. d. e.

ANSWER: POINTS:

a 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 260. Use the following factorization formulas involving cubes to factor the polynomial below. Factorizations with Cubes Perfect cube

Perfect cube

Difference of two cubes

Sum of two cubes

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 261. Use the following factorization formulas involving cubes to factor the polynomial below. Factorizations with Cubes Perfect cube

Perfect cube

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Difference of two cubes

Sum of two cubes

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 262. Use the following factorization formulas involving cubes to factor the polynomial below. Factorizations with Cubes Perfect cube

Perfect cube

Difference of two cubes

Sum of two cubes

a. b. c. d.

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Perfect cube

Difference of two cubes

Sum of two cubes

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 264. The future value of a simple-interest investment of N dollars at an annual interest rate for t years is given by the expression . Factor this expression. a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 265. When medicine is administered, the reaction (measured in change of blood pressure or temperature) can be modeled by (that is, described by)

, where

is a positive constant and

is the amount of medicine absorbed into

the blood. Factor the expression for the reaction. a. b.

c. d. e.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 266. Suppose that squares of size x are cut from four corners of an 6-by-6-inch piece of cardboard and an open-top box is formed. The volume of the box is given by

. Factor this expression.

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for a commodity is the product of its market price

and the number of units demanded

. Suppose that for a certain commodity, the consumer expenditure is given by find an expression for the number of units demanded .

. Factor this in order to

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at a distance x from the artery wall is given by

. Factor and simplify this expression. a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 270. Simplify the fraction.

a. b.

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b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 273. Simplify the fraction.

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276. Perform the indicated operations and simplify.

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a. b.

c. d.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 279. Express the following expression as a single fraction with no common factors in the numerator and denominator.

a. b.

d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

280. Perform the indicated operations and simplify.

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282. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 283. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

284. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

286. Perform the indicated operations and simplify.

ANSWER: POINTS:

d 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 288. Perform the indicated operations and simplify.

b. c. d. e.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 289. Perform the indicated operations and simplify.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 290. Perform the indicated operations and simplify.

Page 129

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a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 295. Simplify the complex fraction. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d.

b. c. d. e.

ANSWER: POINTS:

d 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 297. Rewrite the following so that only the positive exponents remain, and then simplify.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

299. Rewrite the following so that only the positive exponents remain, and then simplify.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 302. Rationalize the denominator of the fraction and simplify.

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

e 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 303. Rationalize the numerator of the fraction and simplify.

have their combined focal length given by

. Combine the fractions in the expression above and use the reciprocal of your result to

find the combined focal length. a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 305. A company’s average cost per unit when

units are produced is defined to be

a company’s average costs are given by

. Suppose

. Express the average cost as a single fraction.

b. c. d.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 306. A company’s average cost per unit when a company’s average costs are given by

units are produced is defined to be

. Suppose

. Choose the expression that gives the

company’s total costs. a.

b. c.

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units are produced is defined to be

a company’s average costs are given by

. Suppose

. Express the average cost as a single

fraction. a.

b. c.

d. e.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 308. Suppose that a company’s daily sales volume attributed to an advertising campaign is given by , when is the number of days since the campaign started. Express the sales volume as a single fraction. a.

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b. c.

d. e.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM

309. The formula for the future value of an annuity due involves the expression

. Write this expression

over a common denominator and factor the numerator to simplify. a.

c. d. e.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM

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1. Solve the equation.

a. 11 b. 5 c. 6 d. 1 e. 0 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 3. Solve the equation.

a. –2 b. 25 c. –10 d. 10 Copyright Cengage Learning. Powered by Cognero.

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e. –5 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 4. Solve the equation.

a. x = 62 b. c. d.

x= x= x=

e. x = 5 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 5. Solve the equation.

a. b. 28 c. d. e. 7 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM Copyright Cengage Learning. Powered by Cognero.

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6. Solve the equation.

a. b. 3 c. 12 d. 0 e. –6 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 7. Solve the equation.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 8. The equation in this problem leads to a linear equation. Solve for . Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation.

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a. x = 4 b. x = 8 c. x= d.

e. no solution ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 9. The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear

equation may not be a solution to the original equation, be sure to check the solution in the original equation.

a. b. c. d.

x= x= x= x=

e. no solution ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 10. The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear

equation may not be a solution to the original equation, be sure to check the solution in the original equation.

a. b.

x= x=

Page 143

d. x = –10 e. no solution ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 11. The equation in this problem leads to a linear equation. Solve for x. Because the solution to the linear

equation may not be a solution to the original equation, be sure to check the solution in the original equation.

a. x = 4 b. x = –4 c. x = 16 d. x = 12 e.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 12. Use a calculator to solve the equation. Round your answer to three decimal places.

a. x = 2.151 b. x = 0.465 c. x = –0.685 d. x = –1.46 e. x = –1.333 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:35 AM 11/16/2020 9:35 AM

13. Use a calculator to solve the equation. Round your answer to three decimal places.

a. x = 6.445 b. x = 0.917 c. x = 2.511 d. x = 3.981 e. x = 12.077 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 14. Solve for in terms of .

Page 145

for t.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 17. Solve

for .

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 18. Solve the inequality.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 19. Solve the inequality.

Page 147

a. x < 17 b. x > 17 c. x > –17 d. x < –17 e. x > 10 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 21. Solve the inequality.

a. b. c. d.

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e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 23. Solve the inequality and choose the graph of the solution.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM Copyright Cengage Learning. Powered by Cognero.

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24. Solve the inequality and choose the graph of the solution.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 25. Solve the inequality and choose the graph of the solution.

Page 150

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 26. A $670,000 property is depreciated for tax purposes by its owner with the straight-line depreciation method.

The value of the building y, after x months of use is given by dollars. After how many months will the value of the building be $365,000? Round your answer to the nearest whole number of months. a. 575 months b. 372 months c. 169 months d. 203 months e. 406 months ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

Page 151

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 27. When a $810,000 building is depreciated for tax purposes (by the straight-line method), its value y after x

months of use is given by depreciated (that is, its value is $0)?

. How many months will it be before the building is fully

a. 36 months b. 360 months c. 4 months d. 28 months e. 280 months ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 28. In seawater, the pressure p is related to the depth d according to

, where d is in feet and p is in pounds per square inch. The Titanic was discovered at a depth of 12,480 ft. Find the pressure at this depth. Round your answer to the nearest whole number. a. 6,792 lb/sq in b. 22,908 lb/sq in c. 22,852 lb/sq in d. 6,823 lb/sq in e. 6807 lb/sq in ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 29. Burnem, Inc. manufactures blank CDs and sells them to a distributor in packs of 500 CDs. Assume

Burnem’s total cost and total revenue (in dollars) for x packs of 500 CDs are given by Total cost = Total revenue = How many packs of 500 CDs must Burnem sell to break even? Copyright Cengage Learning. Powered by Cognero.

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a. 470 packs b. 382 packs c. 500 packs d. 322 packs e. 1146 packs ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 30. Dish Systems manufactures satellite systems and has its monthly profit P in dollars related to the number of

satellite systems x by sell in order to break even.

. Find the number of systems that Dish Systems needs to produce and

a. 295 systems b. 1,240 systems c. 327 systems d. 78 systems e. 310 systems ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 31. The total price of a new car (including 5% sales tax) is $28,704. How much of this is tax? Round your

answer to the nearest cent. a. $1,363.44 b. $7,827,236.35 c. $2,870.40 d. $2,726.88 e. $1,366.86 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM Copyright Cengage Learning. Powered by Cognero.

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32. Suppose a professor counts the final exam as being equal to each of the other tests in her course, and she will

also change the lowest test score to match the final exam score if the final exam score is higher. If a student’s four test scores are 88, 87, 54, and 98, what is the lowest score the student can earn on the final exam and still obtain at least an 80 average for the course? a. 64 b. 73 c. 93 d. 65 e. 88 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 33. A retired woman has $110,000 to invest. She has chosen one relatively safe investment fund that has an

annual yield of 9% and another, riskier one that has an annual yield of 13%. How much should she invest in the fund yielding 9% if she would like to earn $13,000 per year from her investments? a. $9,900 b. $14,300 c. $77,500 d. $32,500 e. $95,700 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 34. One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has

$147,200 to invest would like to have an income of $21,000 per year from her investments. How much should she invest at in the 18% rate fund? a. $68,700 b. $78,500 c. $115,300 d. $92,240 e. $62,800 ANSWER:

Page 154

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 35. In wildlife management, the capture-mark-recapture technique is used to estimate the populations of fish or

birds in an area or to measure the infestation of insects such as Japanese beetles. Suppose 100 individuals of the species being studied are caught, marked, and released, and one week later 100 more are caught. To estimate the total number of individuals, the following relationship is used:

Suppose that 1000 beetles are captured, marked, and released. Suppose further that in the second capture of 1000 it is found that 53 are marked. What is the population estimate? a. 53,000 b. 356 c. 53 d. 18,868 e. 2,809 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 36. For a certain product, the revenue function is

and the cost function is . To obtain a profit, the revenue must be greater than the cost. Find the graph of x which shows when there is a profit. a.

Page 155

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 37. Thrifty rents a compact car for $32 per day, and Budget rents a similar car for $22 per day plus an initial fee

of $60. Which of the following graphs depicts the number of days for which it would be cheaper to rent from Budget? a.

Page 156

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 38. In Sweetwater, Arizona, water bills are taxed on the basis of the amount of the monthly bill in order to

encourage conservation. If the bill is more than $0 but less than $45, the tax is 2% of the bill; if the bill is $45 or more but less than $65, the tax is 4% of the bill; and if the bill is $65 or more, the tax is 6% of the bill. Choose the inequalities that represent the amounts of tax owed in these three cases, where T is the tax to be paid and B is the monthly bill. a. If

If If b. If

If If c. If

If If d. If

If If

, then , then , then , then , then , then , then , then , then , then , then , then

Page 157

e. If

If If

, then , then , then

, where t is the number of years past 1975. Find the year in which p first becomes negative. Round your answer to the nearest year. a. 2790 b. 2055 c. 2008 d. 4549 e. 2054 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 40. The combination of cold temperatures and wind speed determine what is called wind chill. The wind chill is

a temperature that is the still-air equivalent of the combination of cold and wind. When the wind speed is 25 mph, the wind chill WC depends on the temperature t (in degrees Fahrenheit) according to . For what temperatures does it feel at least 25°F colder than the air temperature? That is, find t such that . Round your answer to two decimal places. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:35 AM 11/16/2020 9:35 AM

41. Use the values in the following table.

x -7 y 0

-1 0 3 0 1 5

4.2 9

9 12

11 35

14 22

18 22

22 60

If the function defined by the table is denoted by f, so that a.

is an input of f.

is an output of f.

an input or an output of f ?

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 42. Determine whether the values in the table describe x as a function of y.

x y

–7 –1

–1 0

0 1

3 5

4.2 9 11 14 10 11 35 29

18 22

22 60

a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 43. Is the relation defined by the table a function of x?

x y

1 –4

2 –4

5 5

8 16

13 5

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a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 44. The relation defined by the table is a function. Choose the correct domain and range.

x y

1 –4

2 –4

6 5

8 16

13 5

x y

–1 0

0 2

5 4

3 6

5 9

a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 46. Which of the graphs below represent y as a function of x?

(a ) Copyright Cengage Learning. Powered by Cognero.

(b ) Page 160

a. both (a) and (b) b. only (a) c. only (b) d. neither (a) nor (b) ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 47. Which of the graphs below represent y as a function of x?

(a )

(b )

Page 161

a. both (a) and (b) b. only (a) c. neither (a) nor (b) d. only (b) ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 48. If , is y a function of x? a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 49. If a. Yes b. No

is y a function of x?

Page 162

ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 50. If

, is y a function of x?

a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 51. If

, find

a. 4 b. 0 c. 12 d. –4 e. 20 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 52. If

, find

a. 30 b. –6 c. 42 d. –6 e. –18 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

Page 163

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 53. If

, find

a. –2 b. 0 c. –2000 d. –200 e. 36 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM

54. If

, find

. Is

Page 164

POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 56. Let

. Find

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 57. Let

and

. Does

for all values of x and h?

a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 58. Let

and

. Does

a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM Copyright Cengage Learning. Powered by Cognero.

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59. Let

and

. Find

and simplify.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 60. If

and

, find

and simplify.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM

61. If

and

, find

and simplify.

a. b. Copyright Cengage Learning. Powered by Cognero.

Page 166

c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 62. Suppose

in the figure below. Find

a. 1.44225 b. –1.414214 c. 1.414214 d. 0 e. 1 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM Copyright Cengage Learning. Powered by Cognero.

Page 167

DATE MODIFIED: 63. Suppose

11/16/2020 9:35 AM

in the figure below. How many values of x satisfy

a. 2 b. 5 c. 3 d. 1 e. 4 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 64. The graph of

is shown in the figure below.

Page 168

Does the point (1,1) lie on the graph? In other words, do the coordinates satisfy the equation? a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 65. The graph of

is shown in the figure below.

Page 169

If the point P (with coordinates (a, b)) is on the graph, how are a and b related? a. b. c. d. e. There is no relation. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 66. Find the domain and range of the function below.

a. domain: all reals

range: real numbers b. domain: all reals range: real numbers c. domain: real numbers Copyright Cengage Learning. Powered by Cognero.

Page 170

range: all reals d. domain: real numbers

range: all reals e. domain: all reals range: real numbers ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 67. Find the domain and range of the function below.

a. domain: real numbers

range: real numbers b. domain: real numbers

range: real numbers c. domain: all reals range: real numbers d. domain: real numbers

range: real numbers e. domain: all reals range: real numbers ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 68. State the domain and range of the function below.

a. domain: real numbers

range: real numbers b. domain: all reals range: real numbers c. domain: real numbers Copyright Cengage Learning. Powered by Cognero.

Page 171

range: all reals d. domain: all reals range: real numbers e. domain: real numbers

range: real numbers ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 69. A function and its graph are given. Find the domain.

a. domain: all real numbers b. domain: all real numbers c. domain: all real numbers d. domain: all real numbers e. domain: all real numbers ANSWER: POINTS:

a 1

Page 172

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 70. A function and its graph are given. Find the domain.

a. domain: b. domain: c. domain: d. domain: e. domain: ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 71. For

and

, find

. Page 173

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM

72. For

and

, find

a. b. c. d.

e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 73. For

and

, find

a. b. c. d. Copyright Cengage Learning. Powered by Cognero.

Page 174

e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 74. For

and

, find

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 75. For

and

, find

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM Copyright Cengage Learning. Powered by Cognero.

Page 175

76. For

and

, find

a. b. c. d.

e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM

77. For

, find

a. 1 b. c. d. e. x ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 78. A couple seeking to buy a home decides that a monthly payment of $800 fits their budget. Their bank’s

interest rate is 7.5%. The amount they can borrow A is a function of the time t in years that it will take to repay the debt. If we denote this function by , then the following table defines the function. Copyright Cengage Learning. Powered by Cognero.

Page 176

t 5 10 15

A 40,000 69,000 89,000

t A 20 103,000 25 113,000 30 120,000

Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the expression in the form need to borrow $40,000.

which describes how long they will have to make payments if they

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 79. When a debt is refinanced, sometimes the term of the loan (that is, the time it takes to repay the debt) is

shortened. Suppose the current interest rate is 7%, and the current debt is $100,000. The monthly payment R of the refinanced debt is a function of the term of the loan t in years. If we represent this function by , then the following table defines the function. t R t 5 1,980.12 15 10 1,161.09 20 12 1,028.39 25

R 898.83 775.30 706.78

Source: Comprehensive Mortgage Payment Tables, Publication No. 492, Financial Publishing Co., Boston Choose the correct verbal description of

a. From the table,

is the yearly payment to repay a $100,000 loan in

b. From the table,

is the monthly payment to repay half of a $100,000

c. From the table,

is the weekly payment to repay a $100,000 loan

d. From the table,

is the monthly payment to repay a $100,000 loan in

the value of 12 years when the interest rate is 7%. the value of loan in 12 years when the interest rate is 7%. the value of in 12 years when the interest rate is 7%. the value of 12 years when the interest rate is 7%.

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e. From the table,

the value of in 12 years when the interest rate is 7%.

is the monthly payment to repay a $100,000 loan

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 80. If t represents the number of hours after 9:30 A.M. on Tuesday, October 5, 2004, then the graph defines the

Dow Jones Industrial Average D as a function of time t. If we represent this function by to find f(0).

use the graph

Source: Bloomberg Financial Markets, The New York Times, October 6, 2004. Copyright © 2004 The New York Times Co. Reprinted by permission. a. 10,160 b. 10,217 c. 10,175 d. 10,190 e. 10,220 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 81. The number (in millions) of women in the work force, given as a function f, of the year for selected years

from 1920 to 2000, is shown in the figure below. Estimate

and explain its meaning.

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Source: 2004 World Almanac a.

: The number of women in the work force increased by 62,000,000.

: The number of women in the work force decreased by 3,000,000.

c. d.

: The number of women in the work force did not increase. : The number of women in the work force increased by 3,000,000.

: The number of women in the work force decreased by 62,000,000

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM

82. The equation

gives the relation between temperature readings in Celsius and Fahrenheit. If

a temperature has reading of –20 Fahrenheit, what is the corresponding reading in Celsius? a. –28.89 C b. 6.67 C c. –53.78 C d. –18.22 C e. –11.17 C ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 83. The profit from the production and sale of a product is

where x represents the

number of units produced and sold. Give the value of P(3,000). Copyright Cengage Learning. Powered by Cognero.

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a. $11,000 b. $36,000 c. $54,000 d. $–36,000 e. $234,000 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 84. Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks

of an industrial plant is given by

. Find the domain of this function. Recall that p represents the

percent pollution that is removed. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 85. If a test that has reliability r is lengthened by a factor

If the reliability is r = 0.6, the equation becomes

, the reliability R of the new test is given by

. When the test length is unchanged, the

reliability r = R(1) = 0.6. If the length of the test is doubled, the reliability r = R(2). What percent improvement is there in the reliability when the test length is doubled? a. 20.0% b. 25.0% c. 80.0% d. 75.0% Copyright Cengage Learning. Powered by Cognero.

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e. 15.0% ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 86. If 110 feet of fence is to be used to fence in a rectangular yard, then the resulting area of the fenced yard is

given by A = x(55-x), where x is the width of the rectangle. Is A a function of x? a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 87. If a box with a square cross section is to be sent by a delivery service, there are restrictions on its size such

that its volume is given by the function , where x is the length of each side of the cross section (in inches). What restrictions must be placed on x (the domain) so that the volume makes physical sense? a. 0 < x < 50 b. -50 < x < 0 c. 0 < x < 25 d. 0 < x < 2 e. -2 < x < 2 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 88. For many species of fish, the weight W is a function of the length L that can be expressed by

Suppose that for a particular species k = 0.02 and that for this species the length (in centimeters) is a function of the number of years t the fish has been alive, and that this function is given by

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Find

in order to express W as a function of the age t of the fish.

is a function h of the number of customers C. Suppose also that the amount spent on advertising A affects the number of customers so that is a function f of A. The function is defined, since . Is defined? a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 90. Two of the processes (functions) used by a manufacturer of factory-built homes are sanding (denote this as

function s) and painting (denote this as function s). Choose the correct explanation for the functional expression . a. sanding the door twice b. painting the door twice c. sanding the door and then painting d. sanding the door twice Copyright Cengage Learning. Powered by Cognero.

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e. painting the door and then sanding ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 91. A shipping crate has a square base with sides of length x feet, and it is half as tall as it is wide. If the material

for the bottom and sides of the box costs $3.00 per square foot and the material for the top costs $1.50 per square foot, express the total cost (in dollars) of material for the box as a function of x. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 92. A company handles an apartment building with 50 units. Experience has shown that if the rent for each of

the units is $390 per month, then all of the units will be filled; however, one unit will become vacant for each $40 increase in the monthly rate. If x represents the number of $40 increases, express the revenue R from the building as a function of x. a. R(x) = 390+40x b. R(x) = (390+40x)(50-x) c. R(x) = 50(390+40x) d. R(x) = 40(390-40x)(50-x) e. R(x) = 50(390-40x) ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM Copyright Cengage Learning. Powered by Cognero.

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93. Find the intercepts of the following function.

a. x-intercept: 4

y-intercept: –8 b. x-intercept: –8 y-intercept: 4 c. x-intercept: –2 y-intercept: 2 d. x-intercept: 8 y-intercept: –4 e. x-intercept: 2 y-intercept: –4 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 94. Find the intercepts of the following function.

a. x-intercept: –6.5

y-intercept: 13 b. x-intercept: 13

y-intercept: 26 c. x-intercept: –26 y-intercept: 6.5 d. x-intercept: –13 y-intercept: 2 e. x-intercept: 6.5 y-intercept: –13 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 95. Find the intercepts of the following function.

Page 184

a. x-intercept:

y-intercept: b. x-intercept:

y-intercept: c. x-intercept:

y-intercept: d. x-intercept:

y-intercept: e.

x-intercept: y-intercept: ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 96. Find the slope of the line passing through the given pair of points.

and a. 16 b. 0 c. –4 d. –8 e. The slope is undefined. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 97. Find the slope of the line passing through the given pair of points.

and Copyright Cengage Learning. Powered by Cognero.

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a. b. 1 c. d. e. The slope is undefined. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 98. Find the slope of the line passing through the given pair of points.

and a. b. c. d. 0 e. The slope is undefined. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 99. If a line is vertical, then its slope is undefined. a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: False DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 100. What is the rate of change of the function whose graph is a line passing through

and

a. 1 Copyright Cengage Learning. Powered by Cognero.

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b. –1 c. –8 d. 0 e. The rate of change is undefined. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 101. What is the rate of change of the function whose graph is a line passing through

and

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a. negative b. undefined c. zero d. positive ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 103. Find the slope m and y-intercept b of the line whose equation is given below.

a. b. c. d.

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e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:35 AM DATE MODIFIED: 11/16/2020 9:35 AM 104. Choose the graph that represents the equation below.

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105. Find the slope m and y-intercept b of the line whose equation is given below.

y = –2 a. m = –2, b = 0 b. m = 0, b = 0 c. m = –2, b = 2 d. m = 0, b = –2 e. Both m and b are undefined. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 106. Find the slope m and y-intercept b of the line whose equation is given below.

x=– a.

m=– ,b=0

b. m = 0, b = 0 c.

m=– ,b=

m = 0, b = –

e. Both m and b are undefined. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 107. Find the slope m and y-intercept b of the line whose equation is given below.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 108. Choose the graph that represents the equation below.

Page 192

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:36 AM 11/16/2020 9:36 AM

109. Choose the equation of the line with the given slope and y-intercept.

slope:

y-intercept

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 110. Choose the equation of the line with the given slope and y-intercept.

slope: 5 y-intercept: 9 a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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111. Choose the correct graph of the line with the given slope and y-intercept.

slope:

y-intercept:

Page 195

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 112. Write the equation for line that passes through the given point and has the slope indicated.

with slope a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 113. Write the equation and graph the line that passes through the given point and has the slope indicated.

with slope a.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:36 AM 11/16/2020 9:36 AM

114. Write the equation and graph the line that passes through the given point and has the slope indicated.

(4,–1) with slope 3 a.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:36 AM 11/16/2020 9:36 AM

115. Write the equation and graph the line that passes through the given point and has the slope indicated.

(4,4) with 0 slope a.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 9:36 AM

116. Write the equation of the line passing through the given pair of points.

(–2,7) and (1,–5) a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 117. Write the equation of the line passing through the given pair of points.

and a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 118. Write the equation of the line passing through the given pair of points.

(2,10) and (9,3) a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 119. Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither

of these.

a. parallel lines b. perpendicular lines c. neither ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 120. Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither

of these.

a. parallel lines b. perpendicular lines c. neither ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 121. Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither Copyright Cengage Learning. Powered by Cognero.

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of these.

a. parallel lines b. perpendicular lines c. neither ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 122. Determine whether the following pairs of equations represent parallel lines, perpendicular lines, or neither

of these.

a. parallel lines b. perpendicular lines c. neither ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 123. Write the equation of the line through (–3,–2) that is parallel to

a. b. c. d.

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e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 124. Write the equation of the line through (–10, –9) that is perpendicular to a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 125. Using data from the Internal Revenue Service, the per capita tax burden T (in hundreds of dollars) can be

described by , where t is the number of years past 1980. Find the value of T in 1993. Round your answer to the nearest dollar. a. $3,547 b. $1,950 c. $3,580 d. $3,880 e. $3,280 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM

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126. The percent of the U.S. population with Internet service can be described by

, where x is the number of years past 1995. What interpretation could be given to the y-intercept of this equation? a. In 1995, 13.28% more of the U.S. population had Internet access than in the previous year. b. In 1995, the number of people in the U.S. with Internet access increased at a rate of 13.28% per year. c. At present, the number of people in the U.S. with Internet access is increasing at a rate of 13.28% per

year. d. In 1995, 13.28% of the U.S. population had Internet access. e. At present, 13.28% of the U.S. population has Internet access. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 127. The percent p of high school seniors who smoke cigarettes can be described by

, where t is the number of years past 1975. Choose the sentence that correctly interprets the meaning of the slope as a rate of change. a. The slope represents the annual 28.76% increase of high school seniors who smoke. b. The slope represents the annual 2% decrease of high school seniors who smoke. c. The slope represents the annual 0.02% decrease of high school seniors who smoke. d. The slope represents the annual 0.02% increase of high school seniors who smoke. e. The slope represents the annual 28.76% decrease of high school seniors who smoke. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 128. Two models for measuring the effects of high temperature and humidity are the Summer Simmer Index and

the Apparent Temperature. For an outside temperature of , these indices relate the relative humidity, H (expressed as a decimal), to the perceived temperature as follows. Summer Simmer: Apparent Temperature: For each index, find the point that corresponds to a relative humidity of 20%. Round your answer to two decimal places. a. S = 105.42 A = 100.29 b. S = 104.50 A = 99.46 c. S = 103.59 A = 98.63 Copyright Cengage Learning. Powered by Cognero.

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d. S = 131.95 A = 124.24 e. S = 106.7875 A = 132.50 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 129. According to the U.S. Bureau of the Census, the relation between the average annual earnings of males and

females with various levels of educational attainment can be modeled by the function F = 0.557M + 6.914 , where M and F represent the average annual earnings (in thousands of dollars) of males and females, respectively. Choose the correct interpretation of the slope. a. For each $1 increase in the males' earnings, the females' earning increases by $0.557. b. For each $1000 increase in the males' earnings, the females' earning increases by $55.7. c. For each $1000 increase in the males' earnings, the females' earning decreases by $55.7. d. For each $1 increase in the males' earnings, the females' earning decreases by $0.557. e. For each $100 increase in the males' earnings, the females' earning increases by $5.57. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 130. According to the U.S. Bureau of the Census, the relation between the average annual earnings of males and

females with various levels of educational attainment can be modeled by the function where M and F represent the average annual earnings (in thousands of dollars) of males and females, respectively. When the average annual earnings for males reach $75,000, what does the equation predict for the average annual earnings for females? Round your answer to the nearest dollar. a. $129,764 b. $43,350 c. $49,601 d. $46,246 e. $40,466 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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131. Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by

, where x is the number of years past 1975. What is the slope of the graph of this function? a. – 0.254 b. 0.192 c. – 2.537 d. – 0.192 e. 25.365 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 132. Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled

by percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change. a. The percentage of U.S. high school seniors who used marijuana increased at a rate of 0.192% per

year. b. The percentage of U.S. high school seniors who used marijuana decreased at a rate of 19.2% per year. c. The percentage of U.S. high school seniors who used marijuana decreased at a rate of 0.192% per year. d. The percentage of U.S. high school seniors who used marijuana increased at a rate of 19.2% per year. e. The percentage of U.S. high school seniors who used marijuana decreased at a rate of 1.92% per year. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 133. Residential customers who heat their homes with natural gas have their monthly bills calculated by adding

a base service charge of $4.66 per month and an energy charge of 48.03 cents per hundred cubic feet. Write an equation for the monthly charge y (in dollars) in terms of x, the number of hundreds of cubic feet used. a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 134. Data from 2003 for various groups shows that for each $100 increase in the median weekly income for

whites, the median weekly income of blacks increases by $59.92. When the median weekly income for whites was $676 and for blacks was $522. Let W represent the median weekly income for whites and B the median weekly income for blacks, and write the equation of the line that gives B as a linear function of W. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 135. The retirement plan for Pennsylvania state employees is based on the following formula: ―2.5% of average

final compensation multiplied by years of credited service‖ (Source: Pennsylvania State Employees Retirement System, 2001). Let p represent annual retirement pension and y denote the years of service. For someone with average final compensation of $90,000, write the linear equation that gives p in terms of y. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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136. The retirement plan for Pennsylvania state employees is based on the following formula: ―2.5% of average

final compensation multiplied by years of credited service‖ (Source: Pennsylvania State Employees Retirement System, 2001). Let p represent annual retirement pension, and c denote the average final compensation. For someone who wants to retire in 35 years, write the linear equation that gives p in terms of c. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 137. The following table gives the number of drinks and the resulting blood alcohol percent for a 180-pound

man legally considered driving under the influence (DUI). Is the average rate of change of the blood alcohol percent with respect to the number of drinks a constant? Number ofDrinks Blood Alcohol Percent

5 0.11

6 0.13

7 0.15

8 0.17

9 0.19

10 0.21

a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 138. It has been estimated that a certain stream can support 65,000 fish if it is pollution-free. It has further been

estimated that for each ton of pollutants in the stream, 1,800 fewer fish can be supported. Assuming the relationship is linear, write the equation that gives the population of fish p in terms of the tons of pollutants x. a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM

139. Each day, a young person should sleep 8 hours, plus

hour for each year that the person is under 17 years

of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 140. Suppose the cost of a business property is $720,000, and a company wants to use a straight-line

depreciation schedule for a period of 360 months. If y is the value of this property after x months, then the company’s depreciation schedule will be the equation of a line through (0,720000) and (360,0). Write the equation of this depreciation schedule. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:36 AM 11/16/2020 9:36 AM

141. Use a graphing utility with the standard viewing window

and

to graph the

function. Choose the correct graph below.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:36 AM 11/16/2020 9:36 AM

142. Use a graphing utility with the standard viewing window

and

to graph the

function. Choose the correct graph below.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:36 AM 11/16/2020 9:36 AM

143. Use a graphing utility with the standard viewing window

and

to graph the

function. Choose the correct graph below.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:36 AM 11/16/2020 9:36 AM

144. Use a graphing utility with the standard viewing window

and

to graph the

function. Choose the correct graph below.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:36 AM 11/16/2020 9:36 AM

145. Use a graphing utility with the standard viewing window

and

to graph the

function. Choose the correct graph below.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:36 AM 11/16/2020 9:36 AM

146. Use a graphing utility with the standard viewing window

and

to graph the

function. Choose the correct graph below.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:36 AM 11/16/2020 9:36 AM

147. Use a graphing utility with the specified range to graph the equation. Is the graph below the graph of the

given equation?

a. Yes b. No ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 148. Use a graphing utility with the specified range to graph the equation. Is the graph below the graph of the

given equation?

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a. No b. Yes ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 149. Graph the equation with a graphing utility using the specified range and then using the standard viewing

window. Does the graph below show the specified range or the standard window?

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a. specified range b. standard window ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 150. Graph the equation with a graphing utility using the specified range. Is the graph below the graph of the

given equation?

a. no b. yes ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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151. Graph the equation with a graphing utility; use a window that includes the intercepts. Which range shows

both the intercepts?

a. x-min = –100 x-max = 500

y-min = –10,000 y-max = 50,000 b. x-min = –100 x-max = 500 y-min = –10,000 y-max = 70,000 c. x-min = –100 x-max = 700 y-min = –10,000 y-max = 50,000 d. x-min = –100 x-max = 700 y-min = –10,000 y-max = 70,000 e. x-min = 100 x-max = 500 y-min = 10,000 y-max = 50,000 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 152. Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting

the ranges where necessary. Does the figure below show the complete graph?

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a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 153. Graph the function below and experiment with the viewing window to obtain a complete graph, adjusting

the ranges where necessary. Does the figure below show the complete graph?

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a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 154. Graph the equation with a standard window

and

on a graphing utility. Does the

and

on a graphing utility. Does the

graph appear to be a linear function?

a. yes b. no ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 155. Graph the equation with a standard window

graph appear to be a linear function? Copyright Cengage Learning. Powered by Cognero.

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a. no b. yes ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 156. Graph the equation with a standard window

and

on a graphing utility. Does the

and

on a graphing utility. Does the

graph appear to be a linear function?

a. yes b. no ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 158. Complete the problem by using your calculator. Round your answer to three decimal places.

find

and

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and

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 159. Complete the problem by using your calculator.

, find a.

and

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 160. Graph the function using a window that gives a complete graph. What does y approach as x gets large?

a. 0 b. –11 c. 1 d. 11 e. 5.5 ANSWER: POINTS:

d 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 161. Graph the function using a window that gives a complete graph. Does the figure below show the complete

graph?

a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: False DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 162. Graph the function using a window that gives a complete graph. Does the figure below show the complete

graph?

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a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: False DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 163. Use the x-intercept method to find the solution to this equation.

a. b. c. d. e. ANSWER: POINTS:

e 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 164. Use the x-intercept method to find the solution of the equation below where

. Round your answer to

five decimal places.

a. x = 0.71845 b. x = –2.55178 c. x = 3.46845 d. x = –1.91319 e. x = –0.07986 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 165. Approximate the zeros of the function below by approximating the x-intercepts with a graphing

utility. Round your answer to four decimal places

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 166. With U.S. Census Bureau data, the model that relates the per capita annual income (in thousands of dollars)

of blacks B and whites W was found to be for the range , ; , Copyright Cengage Learning. Powered by Cognero.

. Use a graphing utility to graph this equation . Is the image below the correct graph of the function? Page 235

according to values of

. Graph this equation with a graphing utility and the range Because E represents consumer expenditure, only have meaning. Determine the values of p for which .

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 168. The height above ground, S (in feet), of a ball thrown vertically into the air is given by

, where t is the time in seconds since the ball was thrown. Graph this equation with a graphing utility and the range . Estimate the time at which the ball is at its highest point. Round your answer to two decimal places. a. 8.69 b. 0.23 c. 0.06 d. 17.38 e. 4.35 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 169. An advertising agency has found that when it promotes a new product in a city of 350,000 people, the rate

of change R of the number of people who are aware of the product is related to the number of people x who are aware of it and is given by , where and Graph this equation with a graphing utility. Based on this graph, is the rate of change increasing or decreasing? a. decreasing b. increasing ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 170. In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was

found to depend on the number of words already learned x, according to the equation intercepts to determine a window, and then use a graphing utility to graph the equation for graph, is the learning rate increasing or decreasing?

. Use the Based on the

a. decreasing b. increasing ANSWER: POINTS:

b 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 171. The percent P of men 65 years of age or older in the labor force can be modeled by

, where x is the number of years past 1890 (Source: U.S. Bureau of the Census). Plot this function using a graphing utility. What range of x-values and y-values do you need to use to view this graph for the years 1890 to 2010? a. x-min = 0, x-max = 120

y-min = 0, y-max = 60 b. x-min = –120, x-max = 0 y-min = 0, y-max = 70 c. x-min = –120 , x-max = 120 y-min = 0, y-max = 50 d. x-min = 0, x-max = 90 y-min = 0, y-max = 50 e. x-min = 0, x-max = 120 y-min = 0, y-max = 70 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 172. The number (in millions) of U.S. cellular telephone subscribers can be described by

, where x is the number of years past 1990. For years beyond 2010, does this graph increase or decrease? (Look at this graph in a window that includes these years.) a. increases b. decreases ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 173. The Millcreek watershed area was heavily strip-mined for coal during the late 1960s. Because of the

resulting pollution, the streams cannot support fish. Suppose the cost C of obtaining stream water that contains Copyright Cengage Learning. Powered by Cognero.

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p percent of the current pollution levels is given by

. Because p is the percent of current

pollution levels, . Use the restriction on p and determine a range for C so that an accurate graph can be obtained with a graphing utility. Describe what happens to the cost as p takes on positive values near 0. a. Near p = 0, the cost approaches $2,340. b. Near p = 0, the cost grows without bound. c. Near p = 0, the cost approaches $234,000. d. Near p = 0, cost approaches $0. e. Near p = 0, the cost becomes negative. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 174. Suppose the cost C of removing p percent of the particulate pollution from the exhaust gases at an

industrial site is given by

. Because p is the percent particulate pollution, we know

. Use

the restriction on p and experiment with a C-range to obtain an accurate graph of the equation. Determine the pintercept and explain its meaning. a. The p-intercept is (0,0) , meaning that it costs nothing to remove all of the particulate pollution. b. The p-intercept is (0,82), meaning that there is a cost of $82 before the removal of the particulate

pollution begins. c. There is no p-intercept, which means that it is impossible to remove all of the particulate pollution. d. The p-intercept is (0,0), meaning that it costs nothing to remove none of the particulate pollution. e. The p-intercept is (0, -82), meaning that there is a negative cost of $82 before the removal of the particulate pollution begins. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 175. The number of millions of short tons of carbon monoxide emissions y in the United States can be described

by , where x is the number of years past 1970 (Source: Environmental Protection Agency). Use a graphing utility to plot this function and then use the graph to determine how many short tons of emissions occurred in 1995? a. 195.77 million short tons b. 431.56 million short tons Copyright Cengage Learning. Powered by Cognero.

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c. 102.41 million short tons d. 287.56 million short tons e. 131.56 million short tons ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 176. The graphs of the two equations below are shown. The lines representing these equations may be the same,

may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. and

a. no solution b. one solution c. infinite solutions ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 9:36 AM

177. The graphs of the two equations below are shown. The lines representing these equations may be the same,

may intersect once, or may be parallel. Decide whether the system of equations in the problem has one solution, no solution, or an infinite number of solutions. and

a. one solution b. infinite solutions c. no solution ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 178. Solve the system of equations by using graphical methods.

a. (5,4) b. (5,9) c. (–4,4) Copyright Cengage Learning. Powered by Cognero.

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d. (–4,5) e. There is no solution to the system of equations. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 179. Solve the system of equations by using graphical methods.

a. (2,4) b. (–2,–4) c. (4,–2 d. (–4,4) e. There are infinitely many solutions to the equations. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 180. Solve the system of equations by substitution.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 9:36 AM

181. Solve the system of equations by substitution.

a. (6,–21) b. (3,6) c. (7,–21) d. (3,7) e. (–21,3) ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 182. Solve the system by elimination, or by any convenient method.

a. (–5,10) b. (–3,–5) c. (7,–5) d. (–3,11) e. (–28,–5) ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 183. Solve the system by elimination, or by any convenient method.

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c. d.

e. There is no solution to the equations. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 184. Solve the system by elimination, or by any convenient method.

a. ( –21, 1) b. ( 0, 24) c. ( 3, –21) d. ( –21, 0) e. There is no solution to the equations. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 185. Solve the system by elimination, or by any convenient method.

and

ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 186. Solve the system by elimination, or by any convenient method.

and b.

and c.

and

and e. There is no solution to the equations. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 187. Solve the system by elimination, or by any convenient method.

and

and d. There are infinitely many solutions. e. There is no solution. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 9:36 AM

188. Solve the system by elimination, or by any convenient method.

and b.

and

a. ( –2, –9) b. ( –3, 9) c. ( –9, –3) d. ( –3, –2) e. There is no solution. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 190. Using a graphing utility or Excel to find the solution of the system.

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b. c. d.

e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 191. Use the left-to-right elimination method to solve the system.

a. solution: b. solution: c. solution: d. solution: e. solution: ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 192. Use the left-to-right elimination method to solve the system.

a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 193. Use the left-to-right elimination method to solve the system.

a. solution: b. solution: c. solution: d. solution: e. solution: ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 194. Use the left-to-right elimination method to solve the system.

solution: b.

solution: c.

solution:

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solution: e.

solution: ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 195. Use the left-to-right elimination method to solve the system.

a. solution: b. solution: c. solution: d. solution: e. solution: ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 196. In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic

children H(x) can be described by and , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal? a. 1985 b. 1971 c. 1986 d. 1987 e. 1995 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 197. In the United States between 1970 and 2002, the number (in millions) of black children B(x) and Hispanic

children H(x) can be described by and , where x is the number of years after December 31st, 1970. In what year were the numbers of children equal? a. 1975 b. 1991 c. 1976 d. 1977 e. 1984 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 198. A woman has $445,000 invested in two rental properties. One yields an annual return of 10% of her

investment, and the other returns 12% per year on her investment. Her total annual return from the two investments is $45,000. Let x represent the amount of the 10% investment and y represent the amount of the 12% investment. Find how much is invested in each property by solving the equations for the total amount invested and the return from each property. a. $111,250 at 10% and $250,000 at 12% b. $420,000 at 10% and $25,000 at 12% c. $200,000 at 10% and $195,000 at 12% d. $250,000 at 10% and $25,000 at 12% e. $195,000 at 10% and $200,000 at 12% ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 199. One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who

has $146,400 to invest would like to have an income of $25,000 per year from her investments. How much should she invest at each rate? a. She should put $40,992 in the safe investment and $26,352 in the risky investment. b. She should put $18,300 in the safe investment and $32,940 in the risky investment. Copyright Cengage Learning. Powered by Cognero.

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c. She should put $14,640 in the safe investment and $105,408 in the risky investment. d. She should put $16,900 in the safe investment and $129,500 in the risky investment. e. She should put $48,312 in the safe investment and $40,992 in the risky investment. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 200. A bank lent $120,500 to a company for the development of two products. If the loan for product A was for

$33,500 more than that for product B, how much was lent for each product? a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 201. A woman has $318,000 invested in two rental properties. One yields 10% on the investment, and the other

yields 12%. Her total income from them is $35,500. How much is her income from each property? a. She has invested $3,750 at 10% and $314,250 at 12% b. She has invested $133,000 at 10% and $185,000 at 12% c. She has invested $140,500 at 10% and $177,500 at 12% d. She has invested $44,500 at 10% and $273,500 at 12% e. She has invested $7,500 at 10% and $310,500 at 12% ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 202. Mr. Jackson borrowed money from his bank and on his life insurance to start a business. His interest rate

on the bank loan was 10%, and his rate on the insurance loan was 12%. If the total amount borrowed was Copyright Cengage Learning. Powered by Cognero.

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$100,000 and his total yearly interest payment was $11,200, how much did he borrow from the bank? a. He borrowed $60,000 from the bank. b. He borrowed $17,600 from the bank. c. He borrowed $51,200 from the bank. d. He borrowed $48800 from the bank. e. He borrowed $40,000 from the bank. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 203. A glass of skim milk supplies 0.1 mg of iron and 8.5 g of protein. A quarter pound of lean red meat

provides 3.4 mg of iron and 22 g of protein. If a person on a special diet is to have 4 mg of iron and 73.75 g of protein, how many glasses of skim milk and how many quarter-pound servings of meat would provide this? Give the answer rounded to the nearest half serving. a. The proper nutrition would be provided with 1 glass of milk and 3 servings of meat. b. The proper nutrition would be provided with 2.5 glassesof milk and 1.5 servingsof meat. c. The proper nutrition would be provided with 6 glasses of milk and 1 serving of meat. d. The proper nutrition would be provided with 1.5 glasses of milk and 2.5 servings of meat. e. The proper nutrition would be provided with 3 glassesof milk and 2 servings of meat. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 204. A biologist has a 40% solution and a 10% solution of the same plant nutrient. How many cubic centimeters

of each solution should be mixed to obtain 100 cc of a 28% solution? a. The biologist should mix 15 cc of 40% solution with 85 cc of 10% solution. b. The biologist should mix 60 cc of 40% solution with 40 cc of 10% solution. c. The biologist should mix 25 cc of 40% solution with 75 cc of 10% solution. d. The biologist should mix 30 cc of 40% solution with 70 cc of 10% solution. e. The biologist should mix 10 cc of 40% solution with 90 cc of 10% solution. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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205. Medication A is given every 4 hours and medication B is given twice each day. The total intake of the two

medications is restricted to 55 mg per day, for a certain patient. If the ratio of the dosage of A to the dosage of B is 7 to 11, find the dosage for each administration of each medication. a. Each dosage of medication should be 7.9 mg of A and 5 mg of B. b. Each dosage of medication should be 132 mg of A and 84 mg of B. c. Each dosage of medication should be 6 mg of A and 9.5 mg of B. d. Each dosage of medication should be 5.0 mg of A and 3.2 mg of B. e. Each dosage of medication should be 20.0 mg of A and 12.7 mg of B. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 206. A nut wholesaler sells a mix of cashews and peanuts. He charges $2.80 per pound for cashews and $5.30

per pound for peanuts. If the mix is to sell for $3.8 per pound, how many pounds each of peanuts and cashews should be used to make 100 pounds of the mix? a. The wholesaler should mix 32.4 pounds of peanuts with 66 pounds of cashews. b. The wholesaler should mix 9 pounds of peanuts with 52.4 pounds of cashews. c. The wholesaler should mix 47.6 pounds of peanuts with 91 pounds of cashews. d. The wholesaler should mix 34 pounds of peanuts with 67.6 pounds of cashews. e. The wholesaler should mix 40 pounds of peanuts with 60 pounds of cashews. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 207. How many gallons of washer fluid that is 13.5% antifreeze must a manufacturer add to 500 gallons of

washer fluid that is 11% antifreeze to yield washer fluid that is 13% antifreeze? a. 1,000 b. 1,740 c. 1,730 d. 2,000 e. 1,790 ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 208. Each ounce of substance A supplies 6% of the nutrition a patient needs. Substance B supplies 9% of the

required nutrition per ounce, and substance C supplies 4% of the required nutrition per ounce. If digestive restrictions require that substances A and C be given in equal amounts, and the amount of substance B be onefifth of either of these other amounts, find the number of ounces of each substance that should be in the meal to provide 100% of the required nutrition. a. The solution is 1.69 ounces of substance A, 8.47 ounces of substance B, and 1.69 ounces of

substance C. b. The solution is 8.47 ounces of substance A, 1.69 ounces of substance B, and 8.47 ounces of substance C. c. The solution is 42.37 ounces of substance A, 8.47 ounces of substance B, and 42.37 ounces of substance C. d. The solution is 8.47 ounces of substance A, 42.37 ounces of substance B, and 8.47 ounces of substance C. e. The solution is 42.37 ounces of substance A, 1.69 ounces of substance B, and 42.37 ounces of substance C. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 209. A glass of skim milk supplies 0.1 mg of iron, 8.5 g of protein, and 1 g of carbohydrates. A quarter pound of

lean red meat provides 3.4 mg of iron, 22 g of protein, and 20 g of carbohydrates. Two slices of whole grain bread supply 2.2 mg of iron, 10 g of protein, and 12 g of carbohydrates. If a person on a special diet must have 9.1 mg of iron, 62.5 g of protein, and 53 g of carbohydrates, how many glasses of skim milk, how many quarter-pound servings of meat, and how many two-slice servings of whole grain bread will supply this? a. The requirements will be met with 1 glass of milk, 2 servings of meat and 1 serving of bread. b. The requirements will be met with 2 glasses of milk, 1 serving of meat and 5 servings of bread. c. The requirements will be met with 6 glasses of milk, 3 servings of meat and 2 servings of bread. d. The requirements will be met with 5 glasses of milk, 2 servings of meat and 1 serving of bread. e. The requirements will be met with 4 glasses of milk, 1 serving of meat and 5 servings of bread. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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210. A social agency is charged with providing services to three types of clients, A, B, and C. A total of 450

clients are to be served, with $130,000 available for counseling and $90,000 available for emergency food and shelter. Type A clients require an average of $200 for counseling and $300 for emergencies, type B clients require an average of $500 for counseling and $200 for emergencies, and type C clients require an average of $300 for counseling and $100 for emergencies. How many of each type of client can be served? a. Substitution gives 10 type A clients, 250 type B clients, and 190 type C clients. b. Substitution gives 20 type A clients, 240 type B clients, and 190 type C clients. c. Substitution gives 190 type A clients, 70 type B clients, and 190 type C clients. d. Substitution gives 240 type A clients, 20 type B clients, and 190 type C clients. e. Substitution gives 250 type A clients, 190 type B clients, and 10 type C clients. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 211. Suppose a calculator manufacturer has the total cost function

function function,

and the total revenue , where x represents the number of calculators sold. What is the equation of the profit , for the calculator manufacturer?

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 212. Suppose a stereo receiver manufacturer has the total cost function

function profit function,

and the total revenue , where x represents the number of units produced and sold. What is the equation of the , for this commodity?

a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 213. Suppose a radio manufacturer has the total cost function

and the total revenue function , where x represents the number of radios produced and sold. Write down the profit function and then use this function to determine how many radios must be sold to avoid losing money. Round your answer to the nearest whole number. a. 700 b. 22 c. 23 d. 285 e. 1,815 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 214. Suppose a computer manufacturer has the total cost function

function 326 items?

and the total revenue , where x represents the number of computers produced and sold. What is the profit on

a. $86,500 b. $101,300 c. $94,300 d. $1,238,800 e. $143,680 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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215. A linear cost function is

, where x represents the number of units produced. If 75 units are currently produced, determine the marginal cost. a. $150 b. $155 c. $530 d. $75 e. $5 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 216. A linear cost function is

, where x represents the number of units produced. What is the cost of producing one more item if 75 are currently being produced? Round your answer to the nearest cent. a. $7,736.12 b. $28.37 c. $5,580.00 d. $5,608.37 e. $75.00 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 217. A linear revenue function is

, where x represents the number of units sold. What is the revenue received from selling one more item if 25 are currently being sold? Round your answer to the nearest cent. a. $754.00 b. $25.00 c. $725.00 d. $29.00 e. $1,566.00 ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 218. A linear revenue function is

, where x represents the number of units sold. If 20 units are currently produced, determine the marginal revenue. a. $44.90 b. $898.00 c. $20.00 d. $64.90 e. $878.00 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 219. Given a cost function

and a revenue function , where x represents the number of units produced and sold, find the profit function and then determine the marginal profit. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 220. A company charting its profits notices that the relationship between the number of units sold x and the

profit is linear. If 250 units sold results in $2,800 profit and 300 units sold results in $5,800 profit. Use these two points on the graph of to find the marginal profit. a. $11.20 b. $60.00 c. $19.33 Copyright Cengage Learning. Powered by Cognero.

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d. $9.33 e. $23.20 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 221. Suppose that the total cost function for a radio is linear, that the marginal cost is $27, and that the total cost

for 50 radios is $3,450. Write the equation of this cost function

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 222. A manufacturer of DVD players has monthly fixed costs of $8,200 and variable costs of $55 per unit for

one particular model. For this model DVD player, find the function denotes the number of units produced and sold.

for monthly total costs where x

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 223. A manufacturer of DVD players has monthly fixed costs of $8,400 and variable costs of $65 unit for one

particular model. The company sells this model to dealers for $100 each. Find the function for total Copyright Cengage Learning. Powered by Cognero.

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revenue

where x denotes the number of DVD players produced and sold.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 224. A manufacturer of DVD players has monthly fixed costs of $9,200 and variable costs of $45 unit for one

particular model. The company sells this model to dealers for $100 each. Find the manufacturer's profit function where x denotes the number of DVD players produced and sold. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 225. A manufacturer of shower-surrounds has a revenue function of

and a cost function of , where x represents the number of units produced and sold. Find the number of units that must be sold to break even. a. 122 b. 27 c. 100 d. 21 e. 17 ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 226. A small business recaps and sells tires. The business has a revenue function

and a cost function , where x represents the number of sets of four tires recapped and sold. Find the number of sets of recaps that must be sold to break even. a. 100 b. 300 c. 27 d. 900 e. 65 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 227. A manufacturer sells watches for $70 per unit. The fixed costs related to this product are $12,000 per

month, and the variable costs are $50 per unit. Which of the following is the equation for the profit function where x denotes the number of watches produced and sold? a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 228. A manufacturer sells watches for $55 per unit. The fixed costs related to this product are $12,000 per

month, and the variable costs are $35 per unit. This gives a profit function , where r is the revenue per unit and c is the variable cost per unit. If the manufacturer has a profit of zero, how many watches were sold? a. 1,200 Copyright Cengage Learning. Powered by Cognero.

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b. 6,000 c. 600 d. 218 e. 343 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 229. Financial Paper, Inc. is a printer of checks and forms for financial institutions. For individual accounts,

boxes of 200 checks cost $0.75 per box to print and package; they sell for $4.95 each. Financial Paper’s monthly fixed costs for printing and packaging these checks for individuals are $1,375. Which of the following is the equation for the profit function where x denotes the number of boxes of checks produced and sold? a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 230. A company distributes college logo sweatshirts and sells them for $50 each. The total cost function is

linear, and the total cost for 100 sweatshirts is $4,840, whereas the total cost for 250 sweatshirts is $8,140. Find the equation for the total cost function where x is the number of sweatshirts produced and sold. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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231. Some of the graphs of total revenue R, total cost C, variable cost VC, fixed cost FC, and profit P are shown

as functions of the number of units x. Choose the function represented by the line labeled b.

a. FC b. VC c. P d. R e. C ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 232. As the price of a commodity decreases, what happens to supply? a. If the price decreases, then the supply will increases. b. If the price decreases, then the supply will remain constant. c. If the price decreases, then the supply will decreases. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 233. The figure below is the graph of both the demand function D and the supply function S for the same Copyright Cengage Learning. Powered by Cognero.

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product, where P is the price per unit and Q is the number of units produced. Will there be a market surplus or shortage when the price P is $150?

a. There will be a market surplus. b. There will be a market shortage. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 234. Assume that the price for a pair of shoes has been set at $40. The demand for a pair of shoes is given

by and the supply for the same pair of shoes is . In both cases p is price per pair and q is the quantity produced or sold. Compare the quantity demanded and the quantity supplied. Will there be a surplus or shortfall at this price? a. There will be a shortfall. b. There will be a surplus. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 235. If the demand and supply functions for Z-brand phones are

compare the quantity demanded and the quantity supplied when sold. Are there surplus phones or not enough to meet demand?

and respectively, . Note that q is the quantity produced or

a. There will be a surplus at a price of $46. Copyright Cengage Learning. Powered by Cognero.

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b. There will be a shortage at a price of $46. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 236. Suppose a certain home improvement outlet knows that the monthly demand for framing studs is

1,000 when the price is $1.00 each but that the demand is 2,000 when the price is $0.90 each. Assume the demand function is linear. Choose the correct equation for demand where p denotes price and q denotes quantity. a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 237. Suppose a mining company will supply 80,000 tons of ore per month if the price is $45 per ton but will

supply only 60,000 tons per month if the price is $40 per ton. Assume the demand function is linear. Choose the correct equation for demand in the form p for price in terms of q for quantity. Round your coefficients to five decimal places. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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238. The figure below show the demand and supply functions for a product. Decide which line shows the supply

function and which line the demand function.

Is there a surplus or shortage when the price is $21? a. There is a shortage. b. There is a surplus. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 239. The figure below show the demand and supply functions for a product. Decide which line shows the supply

function and which line the demand function.

Will a price below the equilibrium price result in a market surplus or shortage? a. surplus Copyright Cengage Learning. Powered by Cognero.

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b. shortage ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 240. Find the market equilibrium point for the following demand and supply functions below, where p is price

per unit and q is the number of units produced and sold. Demand: Supply: a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 241. Find the equilibrium point for the following supply and demand functions below, where p is price per unit

and q is the number of units produced and sold. Demand: Supply: a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM Copyright Cengage Learning. Powered by Cognero.

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242. Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20 if the price is

$60. The wholesaler will supply 35 phones at $30 each and 42 at $42 each. Assuming the supply and demand functions are linear, find the market equilibrium point . a. market equilibrium point: b. market equilibrium point: c. market equilibrium point: d. market equilibrium point: e. market equilibrium point: ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 243. A shoe store owner will buy 10 pairs of a certain shoe if the price is $75 per pair and 30 pairs if the price is

$25. The supplier of the shoes is willing to provide 35 pairs if the price is $80 per pair but only 5 pairs if the price is $20. Assuming the supply and demand functions for the shoes are linear, find the market equilibrium point . a. market equilibrium point: b. market equilibrium point: c. market equilibrium point: d. market equilibrium point: e. market equilibrium point: ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 244. The figure below is the graph of the demand function D, the supply function S, and the supply function

after a $30 tax T for the same product. Is it possible for the government to earn no money if it keeps increasing taxes on this product?

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a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 245. Suppose that a certain product has the following demand and supply functions, where p is the price per unit

in dollars and q is the quantity produced. Demand: Supply: If a $62 tax is placed on each unit of the product of the following. What is the new equilibrium point? a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 246. Suppose that a certain product has the following demand and supply functions, where p is the price per unit

in dollars and q is the quantity produced. Demand: Supply: If a $15 tax per item is levied on the supplier, who passes it on to the consumer as a price increase, find the market equilibrium point after the tax. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM 247. Suppose that in a certain market, the demand function for a product is given by

and the supply function is given by , where p is the price per unit in dollars and q is the quantity produced. If the government levies a tax of $6 per item on the supplier, who passes the tax on to the consumer as a price increase, find the equilibrium price and quantity after the tax is levied. Round q to the nearest whole number and round p to one decimal place. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:36 AM DATE MODIFIED: 11/16/2020 9:36 AM

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1. Write the equation

in general form.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 2. Write the equation

in general form.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 3. Solve the equation

a. b. c. d. e. ANSWER: POINTS:

e 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 4. Solve the equation

by factoring.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 5. Solve the equation by using the quadratic formula. Give real solutions only.

d. no real solutions e.

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 6. Solve the equation by using the quadratic formula. Give real answers rounded to two decimal places.

a. b. c. d. e. no real solutions ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 8. Find the exact real solutions to the equation, if they exist.

a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 9. Find the exact real solutions of the equation a. b.

and and

and

, if they exist.

and

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM

10. Find the exact real solutions of the equation

, if they exist.

and b. c.

and and

and e.

and

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM Copyright Cengage Learning. Powered by Cognero.

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11. Find the exact real solutions of the equation

, if they exist.

and b.

and c.

and d.

and e. Real solutions do not exist. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 12. Solve the equation by using a graphing utility.

by using a graphing utility. Round your answers to two decimal

places. a.

and

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and

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM

14. Multiply both sides of the equation

by the LCD, and then solve the resulting quadratic equation.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM

15. Solve the equation

by first multiplying by the LCD, and then solving the resulting

equation. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 16. Solve the equation below using quadratic methods.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 17. If the profit from the sale of x units of a product is

, what level(s) of production will yield

a profit of $1,300? a. less 30 units of production. b. more than 60 units of production. c. 90 units of production. d. 30 units of production. e. 30 or 60 units of production. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 18. If a ball is thrown upward at 112 feet per second from the top of a building that is 120 feet high, the height

of the ball can be modeled by , where t is the number of seconds after the ball is thrown. How long after it is thrown is the height 120 feet? a.

seconds

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seconds

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 19. The amount of airborne particulate pollution p from a power plant depends on the wind speed s, among

other things, with the relationship between p and s approximated by will make .

. Find the value of s that

, where x is the dosage size in

milliliters. Determine all dosages that yield 0 sensitivity. a.

milliliters,

milliliters

milliliters,

milliliters

milliliters,

d. e.

milliliters,

milliliters milliliters

milliliters

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM Copyright Cengage Learning. Powered by Cognero.

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21. The time t, in seconds, that it takes a 2005 Corvette to accelerate to x mph can be described

by to the nearest tenth.

. How fast is the Corvette going after 9.07 seconds? Give your answer

a. 94.6 mph b. 97.6 mph c. 99.6 mph d. 118.1 mph e. 118.7 mph ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 22. Suppose that the percent of total personal income that is used to pay personal taxes is given by

, where x is the number of years past 1990 (Source: Bureau of Economic Analysis, U.S. Department of Commerce). Find the year or years when the percent of total personal income used to pay personal taxes is 17 percent. a. 2012 b. 2002 c. 2001 d. 2007 e. 2041 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 23. A fissure in the earth appeared after an earthquake. To measure its vertical depth, a stone was dropped into

it, and the sound of the stone's impact was heard 3.1 seconds later. The distance (in feet) the stone fell is given by , and the distance (in feet) the sound traveled is given by . In these equations, the distances traveled by the sound and the stone are the same, but their times are not. Using the fact that the total time is 3.1 seconds, find the depth of the fissure. Round your answer to two decimal places. a. 102.37 feet b. 99.37 feet c. 99.59 feet d. 103.79 feet Copyright Cengage Learning. Powered by Cognero.

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e. 104.59 feet ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 24. An equation that models the number of users of the Internet is

million users, where x is the number of years past 1990 (Source: CyberAtlas, 1999). If the pattern indicated by the model remains valid, when does this model predict there will be 700 million users? a. 2002 b. 2017 c. 2012 d. 2005 e. 2003 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 25. The model for body-heat loss depends on the coefficient of convection K, which depends on wind speed v

according to the equation where v is in miles per hour. Find the positive coefficient of convection when the wind speed is 25 mph. Round your answer to the nearest integer. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 26. Find the vertex of the graph of the equation Copyright Cengage Learning. Powered by Cognero.

. Page 280

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 27. Determine if the vertex of the graph of the equation is a maximum or minumim point.

a. vertex is at a maximum point b. vertex is at a minimum point c. has no vertex ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 28. Find the vertex of the graph of the equation

. Round your answer to two decimal places.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 9:47 AM

29. Determine what value of x gives the optimal value of the function, and determine the optimal (maximum or

minimum) value. Round your answers to two decimal places.

a. optimal value of x: 0, optimal value: 1.00 b. optimal value of x: –1.80, optimal value: 0.60 c. optimal value of x: 1.20, optimal value: –1.20 d. optimal value of x: –0.60, optimal value: –1.80 e. optimal value of x: 0.60, optimal value: –1.80 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 30. Determine whether the function’s vertex is a maximum point or a minimum point and find the coordinates

of this point.

a. vertex:

, a minimum point

b. vertex:

, a maximum point

c. vertex:

, a minimum point

d. vertex:

, a maximum point

e. vertex:

, a maximum point

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a. zeros at –2.17 and –7.83 b. zeros at 0 and 10.00 c. zeros at 11.00 and –21.00 d. no zeros e. zeros at 0 and 27.00 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 33. Determine whether the vertex of the graph of the following function is a maximum point or a minimum Copyright Cengage Learning. Powered by Cognero.

Page 284

point. Also find the coordinates of the vertex.

a. vertex:

, a maximum point

b. vertex:

, a minimum point

c. vertex:

, a minimum point

d. vertex:

, a minimum point

e. vertex:

, a maximum point

a. x-intercepts:

b. x-intercepts:

c. x-intercepts:

d. x-intercepts:

e. no x-intercepts ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 35. How is the graph of

shifted to obtain the graph of the function

a. shifted 6 units to the left and 11 units up b. shifted 6 units to the right and 11 units down c. shifted 36 units to the left and 11 units up d. shifted 12 units to the right and 11 units down e. shifted 6 units to the right and 11 units up ANSWER:

Page 285

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 36. Use a graphing utility to find the vertex of the function. Round your answer to two decimal places.

a. vertex: b. vertex: origin c. vertex: d. vertex: e. vertex: ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 37. Sketch the graph of the following function by using graphing calculator.

Page 286

Page 287

between

and

a. 12 b. –84 c. –7 d. –6 e. 252 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 39. Find the vertex and then determine the range of the function. Copyright Cengage Learning. Powered by Cognero.

Page 288

a. all values greater than or equal to 56 b. all values less than or equal to 52 c. all values greater than or equal to 10 d. all values less than or equal to 74 e. all values less than or equal to 56 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:47 AM DATE MODIFIED: 11/16/2020 9:47 AM 40. Use a graphing utility to approximate the solutions to

. Round your answers to two decimal places.

a. b. c. d.

e. ANSWER: POINTS:

c 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 42. Solve

for the function

a. b. c. d. e. no real solutions ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 43. The daily profit from the sale of a product is given by

dollars. What level of production

maximizes profit? a. production level of 160 units b. production level of 8 units c. production level of 6 units d. production level of 80 units e. production level of 154 units ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 44. The daily profit from the sale of a product is given by

dollars. What is the maximum possible profit? Round intermediate calculations and final answer to the nearest dollar. Copyright Cengage Learning. Powered by Cognero.

Page 290

a. $1,514 b. $2,333 c. $713 d. $90 e. $174 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 45. The daily profit from the sale of a product is given by

dollars. What is the maximum possible profit? Round intermediate calculations and final answer to the nearest dollar. a. $4,012 b. $12,500 c. $8,215 d. $103 e. $203 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 46. The yield in bushels from a grove of orange trees is given by

, where x is the number of orange

trees per acre. How many trees will maximize the yield? a. 500 trees b. 1,000 trees c. 300 trees d. 550 trees e. 250 trees ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM Copyright Cengage Learning. Powered by Cognero.

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47. The sensitivity S to a drug is related to the dosage x in milligrams by

. Use a graphing utility to

determine what dosage gives maximum sensitivity. a. 98 b. 240,100 c. 980, 0 d. 980 e. 490 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 48. A ball thrown vertically into the air has its height above ground given by

, where t is in

seconds and s is in feet. Find the maximum height of the ball. a. 204 feet b. 102 feet c. 6 feet d. 16 feet e. 163 feet ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 49. The owner of a skating rink rents the rink for parties at $936 if 78 or fewer skaters attend, so that the cost per

person is $12 if 78 attend. For each 5 skaters above 78, she reduces the price per skater by $0.50. Which table gives the revenue generated if 78, 88, and 98 skaters attend? a.

Price 12 11 10

No. of skaters Total Revenue 78 $980 88 $968 98 $936

Price 12

No. of skaters Total Revenue 78 $936

Price 12 13 14

No. of skaters Total Revenue 78 $936 88 $968 98 $980

Price 12

No. of skaters Total Revenue 78 $936

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11 10

88 98

$968 $980

13 14

88 98

$1144 $1372

Price 12 11.5 11

No. of skaters Total Revenue 78 $936 88 $1012 98 $1078

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 50. When a stone is thrown upward, it follows a parabolic path given by a form of the equation

If represents ground level, find the equation of a stone that is thrown from ground level at on the ground 70 units away if the stone reaches a maximum height of 70 units.

. and lands

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 51. In 1995, America’s 45 million Social Security recipients received a 2.6% cost-of-living increase, the second

smallest increase in nearly 20 years, a reflection of lower inflation. The percent increase might be described by the function , where t is the number of years past 1980. In what year does the model predict the highest cost of living percent increase? a. 1991 Copyright Cengage Learning. Powered by Cognero.

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b. 2010 c. 1988 d. 1990 e. none of the above ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 52. Sketch the first quadrant portions of the following functions and estimate the market equilibrium point.

Supply: Demand: a.

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ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

Page 295

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM

53. A supply function has the equation is

, and the demand function is decribed by the equation

. Algebraically determine the equilibrium point for the supply and demand functions. Round your answer to two decimal places. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 54. If the supply function for a commodity is

and the demand function is find the equilibrium quantity and equilibrium price. Round your final answer to two decimal places.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 55. If the supply and demand functions for a commodity are given by

and

, respectively, find the price that will result in market equilibrium.

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a. 31 b. 162 c. 35 d. 33 e. 27 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 56. If the supply and demand functions for a commodity are given by

and , what is the equilibrium price and what is the corresponding number of units supplied and demanded? Round your answer to two decimal places. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 57. The supply function for a product is

, while the demand function for the same product is . Find the market equilibrium point E(q, p). Round your final answer to two decimal

places. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:48 AM 11/16/2020 9:48 AM

58. The supply function for a product is

, while the demand function for the same product is . If a $22 tax is placed on production of the item, then the supplier passes this tax on by adding $22 to his selling price. Find the new equilibrium point E(q, p) for this product when the tax is passed on. (The new supply function is given by

.) Round your final answer to two decimal places.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 59. The total costs for a company are given by

, and the total revenues are given by

. Find the break-even points. a. Break-even values are at c. Break-even values are at

and units. units.

d. Break-even values are at

and

e. Break-even values are at

units.

b. Break-even values are at

units.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 60. If a firm has the following cost and revenue functions, find the break-even points.

Page 298

a. Break-even values are at

and

units.

b. Break-even values are at

and

units.

c. Break-even values are at

and

units.

d. Break-even values are at

and

units.

e. Break-even values are at

and

units.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 61. If a company has total costs

, and total revenues given by find the break-even points. Round your answers to two decimal places. a. Break-even values are at

and

units.

b. Break-even values are at

and

units.

c. Break-even values are at

units.

d. Break-even values are at

units.

e. Break-even values are at

and

units.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 62. If total costs are

and total revenues are

a. Break-even values are at

and

units.

b. Break-even values are at

and

units.

c. Break-even values are at

and

units.

d. Break-even values are at

and

units.

e. Break-even values are at

and

units.

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

, find the break-even points.

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 63. Given the profit function,

, and that production is restricted to fewer than 75 units, find the break-even point(s). Round your answer to two decimal places. a. Break-even value is at

units.

b. Break-even value is at

units.

c. Break-even value is at

units.

d. Break-even value is at

units.

e. Break-even value is at

units.

. Round your answer to the nearest

cent. a. $75,031.25 b. $225,093.75 c. $56,273.44 d. $206,335.94 e. $226,093.75 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 65. If, in a monopoly market, the demand for a product is

, and the revenue function is , where x is the number of units sold, what price will maximize revenue? Round your answer to the nearest cent. a. Price that will maximize revenue is

b. Price that will maximize revenue is

c. Price that will maximize revenue is

d. Price that will maximize revenue is

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e. Price that will maximize revenue is

. Find the level of production that

yields maximum profit, and find the maximum profit. a. Production levels of 110 yields a maximum profit of $1,000. b. Production levels of 110 yields a maximum profit of $2,025. c. Production levels of 55 yields a maximum profit of $4,995. d. Production levels of 55 yields a maximum profit of $3,025. e. Production levels of 55 yields a maximum profit of $2,025. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 67. Use a graphing calculator to graph the profit function a.

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Page 302

is given as follows. Consider the average rate of change of the profit from a to 400 where a lies to the left of 400. Does the average rate of change of the profit get closer to 0 or farther from 0 as a gets closer to 400?

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a. closer to 0 b. farther from 0 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 69. Form the profit function for the cost and revenue functions, where the total costs and total revenues are

given by

and

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:48 AM 11/16/2020 9:48 AM

70. Suppose a company has fixed costs of $26,800 and variable costs of

dollars per unit, where x is

the total number of units produced. Suppose further that the selling price of its product is

dollars per

unit. Find the break-even points. Round your answer to the nearest cent. a. Break-even values are at

and

b. Break-even values are at

and

c. Break-even values are at d. Break-even values are at e. Break-even values are at

. .

and

and and

. .

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM

71. Suppose a company has fixed costs of $26,200 and variable costs of

dollars per unit, where x is

the total number of units produced. Suppose further that the selling price of its product is

dollars

per unit. Find the maximum revenue. Round your answer to the nearest cent. a. Maximum revenue is $1,053.12. b. Maximum revenue is $26,200.00. c. Maximum revenue is $26,850.00. d. Maximum revenue is $704,166.67. e. Maximum revenue is $600.00. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 72. Assume that sales revenues for Continental Divide Mining can be described by

, where t is the number of years past 1992. Use the function to determine the year in which maximum revenue occurs. Copyright Cengage Learning. Powered by Cognero.

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a. Maximum revenue occurred during 1994. b. Maximum revenue occurred during 1992. c. Maximum revenue occurred during 1993. d. Maximum revenue occurred during 1995. e. Maximum revenue occurred during 1991. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 73. Assume that sales revenues, in millions, for Continental Divide Mining can be described by

, where t is the number of years past 1992. Use the function to find the maximum revenue. Round your answers to three decimal places. a. Maximum revenue is $9.569 million. b. Maximum revenue is $5.078 million. c. Maximum revenue is $4.669 million. d. Maximum revenue is $4.848 million. e. Maximum revenue is $19.087 million. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 74. Assume that costs and expenses for Continental Divide Mining can be described by

and the sales revenue can be described by , where t is the number of years since the beginning of 1992. Find the year in which maximum profit occurs. a. 2050 b. 2000 c. 2021 d. 2022 e. 2001 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:48 AM 11/16/2020 9:48 AM

75. Sketch the graph of the function

e. Copyright Cengage Learning. Powered by Cognero.

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. b.

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. b.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 79. Sketch the graph of the function a.

. b.

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Page 315

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM

80. Sketch the graph of the function

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Page 317

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM

81. Sketch the graph of the function

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Page 319

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 82. By recognizing shapes and features of polynomial functions, sketch the graph of the function

Use a graphing utility to confirm your graph. a.

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Page 321

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 83. By recognizing shapes and features of polynomial functions, sketch the graph of the function

Use a graphing utility to confirm your graph. a.

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Page 323

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM

84. By recognizing shapes and features of rational functions, sketch the graph of the function

. Use a

graphing utility to confirm your graph. a.

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Page 325

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 85. Find the rational function whose graph is given.

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a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 86. If

, find

and

. Round your answers to two decimal places.

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and

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM

87.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 88. Determine whether the given graph is the graph of a polynomial function, a rational function (but not a

polynomial), or a piecewise defined function. Use the graph to estimate the turning points. Round your answers to two decimal places.

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a. polynomial function

turning points: b. rational function turning points: c. polynomial function turning points: d. rational function turning points: e. piecewise function turning points:

and and ,

, and

and

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 89. Determine whether the given graph is the graph of a polynomial function, a rational function (but not a

polynomial), or a piecewise defined function. Use the graph to estimate the turning points and any asymptotes.

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a. polynomial function

turning points: vertical asymptote: horizontal asymptote: b. rational function turning points: none vertical asymptote: horizontal asymptote: c. rational function turning points: none vertical asymptote: horizontal asymptote: d. piecewise function turning points: vertical asymptote: horizontal asymptote: e. polynomial function turning points: none vertical asymptote: horizontal asymptote: ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:48 AM 11/16/2020 9:48 AM

90. Determine whether the given graph is the graph of a polynomial function, a rational function (but not a

polynomial), or a piecewise defined function. Use the graph to estimate the turning points.

a. piecewise function

turning points: and b. polynomial function turning points: and c. rational function turning points: d. polynomial function turning points: e. piecewise function turning points: ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 91. An open-top box is constructed from a square piece of cardboard with sides of length 10 ft. The volume of

such a box is given by Copyright Cengage Learning. Powered by Cognero.

, where x is the height of the box. Find the volume of the box if its Page 331

height is 1 ft. a. 62.5 ft3 b. 63.5 ft3 c. 64 ft3 d. 66 ft3 e. 68.5 ft3 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 92. The amount of money invested in a certain mutual funds, measured in millions of dollars, for the years 1995

to 1999 was found to be modeled by million dollars, where x is the number of years past 1990. Will the graph of this function bend upward or will it bend downward? How much money is predicted to be in the fund in the year 2013? Round your answer to two decimal places. a. the function's graph bends downward; the function predicts 2,805,942.11 million dollars in 2013 b. the function's graph bends upward; the function predicts 2,805,942.11 million dollars in 2013 c. the function's graph bends downward; the function predicts 1,406,322.19 million dollars in 2013 d. the function's graph bends upward; the function predicts 6,702.27 million dollars in 2013 e. the function's graph bends downward; the function predicts 6,702.27 million dollars in 2013 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 93. Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks

of an industrial plant is estimated by

. What is the domain of this function? What will it cost to

remove 99.3% of the particulate pollution? Round your answer to the nearest cent. a. domain:

cost: $1,042,650.00 b. domain:

cost: $1,042,650.00 c. domain: all p except p = 100 cost: $1,042,650.00 Copyright Cengage Learning. Powered by Cognero.

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d. domain:

cost: $73.72 e. domain: all p except p = 100 cost: $73.72 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM

94. The monthly charge for water in a small town is given by

, where x

is water usage in hundreds of gallons and f (x) is cost in dollars. Find the monthly charge for 2900 gallons and for 3500 gallons. Round your answers to the nearest cent. a. charge for 2900 gallons is $35.00

charge for 3500 gallons is $37.00 b. charge for 2900 gallons is $1183.00 charge for 3500 gallons is $1423.00 c. charge for 2900 gallons is $35.00 charge for 3500 gallons is $45.00 d. charge for 2900 gallons is $37.00 charge for 3500 gallons is $45.00 e. charge for 2900 gallons is $35.00 charge for 3500 gallons is $72.00 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 95. A shipping company's charges for delivery of a package is a function of the package's weight. The following

table describes the company's shipping rates. Weight Increment First pound or fraction of a pound Each additional pound or fraction of a pound

Rate $0.45 $0.75

Convert this table to a piecewise defined function that represents shipping costs for packages weighing between 0 and 4 pounds using x as the weight in pounds and C as the cost in dollars. Find the postage for a 1.25-pound package. Round your answer to the nearest cent.

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cost for a 1.25 lb package: $0.90 b.

cost for a 1.25 lb package: $0.93 c.

cost for a 1.25 lb package: $1.39 d.

cost for a 1.25 lb package: $1.20 e.

cost for a 1.25 lb package: $1.39 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM

96. The demand function for a product is given by

, where x is the number of units and p is the

price in dollars. Graph this demand function for a.

, with x on the horizontal axis. b.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM

97. The demand function for a product is given by

, where x is the number of units and p is the

price in dollars. The graph of this demand function for Does the demand function ever reach 0?

, with x on the horizontal axis is given below.

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a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 98. The given graph shows the cost C, in thousands of dollars, of a production run for a product when x

machines are used. Estimate the company's fixed cost of production to the nearest thousand dollars, and determine the number of machines that will result in maximum cost for the company.

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a. fixed production cost: $6,000

maximum cost when 4 machines used b. fixed production cost: $9,000 maximum cost when 4 machines used c. fixed production cost: $5,000 maximum cost when 4 machines used d. fixed production cost: $6,000 maximum cost when 6 machines used e. fixed production cost: $5,000 maximum cost when 6 machines used ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: False STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 99. Determine whether the scatter plot should be modeled by a linear, power, quadratic, cubic, or quartic

function.

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a. linear b. power c. quadratic d. cubic e. quartic ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 100. Determine whether the scatter plot should be modeled by a linear, power, quadratic, cubic, or quartic

function.

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a. linear b. power c. quadratic d. cubic e. quartic ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 101. Determine whether the scatter plot should be modeled by a linear, power, quadratic, cubic, or quartic

function.

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a. linear b. power c. quadratic d. cubic e. quartic ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 102. Determine whether the scatter plot should be modeled by a linear, power, quadratic, cubic, or quartic

function.

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a. linear b. power c. quadratic d. cubic e. quartic ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 103. Find the equation of the linear function that is the best fit for the given data. Round your final values to two

decimal places. x 0 1 2 3 4

y 1.7 4.2 6.6 9.3 12.1

a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 104. Graph the linear function that models the data given in the table below.

x y

–1 –5.0

0 –4.0

1 –3.0

2 –2.0

3 –1.0

4 0.0

5 1.0

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105. Find the equation of the quadratic function that is the best fit for the given data. Round your final values to

two decimal places. x –2 –1 0 1 2 3 4

y –3.17 –2.25 –0.97 3.57 9.17 17.23 26.25

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 106. Graph the quadratic function that models the data given in the table below.

x y

–4 16

–3 8

–2 2

–1 –2

0 –4

1 –4

2 –2

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decimal places. x –4 –3 –2 –1 0 1 2

y –125.3 –54.2 –15.5 0.3 4.3 5.5 14.9

a. b. c. d. Copyright Cengage Learning. Powered by Cognero.

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e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 108. Graph the cubic function that models the data given in the table below.

x y

–3 –14

–2 2

–1 6

0 4

1 2

2 6

3 22

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109. Find the equation of the quartic function that is the best fit for the given data. Round your final values to

two decimal places. x 1 2 3 4 5 6 7

y 3.7 12.8 6.1 –59.9 –258.3 –683.7 –1457.6 a. b. c. d. e.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 110. Graph the power function that models the data given in the table below.

x y

1 3.0000

2 8.4853

3 15.5885

4 24.0000

5 33.5410

6 44.0908

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for the data. Round your final values to four decimal places. x 0 1 2 3 4 5 6

y 1.33 6.34 11.40 16.39 21.37 26.41 31.47

a. linear; b. c. d.

quadratic; power; cubic;

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quartic;

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 112. Determine what type of function best models the data given below, and find the equation that is the best fit

for the data. Round your final values to four decimal places. x 0 1 2 3 4 5 6

y 4.8 21.15 30.7 34.15 30.7 20.85 4.9

a. linear; b. c. d. e.

quadratic; power; cubic; quartic;

attainment in a certain country. Let x represent earnings for males and y represent earnings for females, and find a linear model that expresses women’s annual earnings as a function of men’s. Interpret the slope of the linear model. Round your final values to three decimal places. Educational Attainment Less than 9th grade Some high school Copyright Cengage Learning. Powered by Cognero.

Average Annual Earnings Males Females $11,300 $10,745 $12,130 $11,445 Page 353

High school graduate Some college Associate’s degree Bachelor’s degree or more

$20,685 $21,860 $26,455 $40,505

$19,665 $14,925 $24,895 $31,550

slope: females earn $1,260 for each $1,000 males earn b.

slope: the average difference in yearly male and female earnings is $1,260 c.

slope: females earn $732 for each $1,000 males earn d.

slope: the average difference in yearly male and female earnings is $732 e.

slope: the average of male and female earnings increases by an average of $732 for each level of educational attainment ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 114. The table gives the median household income (in 2005 year) for two cities in various years. Let x represent

the median household income for citizens of city A and y represent the corresponding median household income for citizens of city B. Find a linear model that expresses the median household income for citizens in city B as a function of the median household income for citizens of city B. Interpret the slope of the linear model. Round numerical values in your answer to three decimal places. Median Household Income (2005 year) Year City A City B 1985 $21,700 $18,100 1990 $23,300 $20,900 1995 $25,800 $24,400 2000 $27,000 $28,700 2005 $29,500 $31,600 a.

slope: median household income is growing at the same rate for city A as it is for city B. b.

slope: median household income is growing at the same rate for city A as it is for city B. c.

slope: median household income is growing at the same rate for city A as it is for city B. Copyright Cengage Learning. Powered by Cognero.

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slope: median household income is growing faster for city A than it is for city B. e.

slope: median household income is growing slower for city A than it is for city B. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 115. Suppose the IQ scores (rounded to the nearest 10) for a group of people are summarized in the table below.

Find the quadratic function that best fits the data, using x as the IQ score and y as the number of people in the group with that IQ score. Use a graphing utility to estimate the IQ score of the maximum number of individuals according to the model. Round your final answer to 2 decimal places. IQ Score Number of People 70 50 80 72 90 87 100 86 110 76 120 48 130 13 a.

The model predicts that the maximum number of people have an IQ score of approximately 95. b.

The model predicts that the maximum number of people have an IQ score of approximately 90. c.

The model predicts that the maximum number of people have an IQ score of approximately 90. d.

The model predicts that the maximum number of people have an IQ score of approximately 95. e.

The model predicts that the maximum number of people have an IQ score of approximately 90. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM Copyright Cengage Learning. Powered by Cognero.

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116. Suppose that the following table gives the number of near-collisions on the runways of the nation's airports.

With representing 1990, find a quadratic function that models the data in the chart. Round numerical values in your answer to four decimal places. Depending on the technology you use, your answer may be slightly different than the correct answer shown. Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000

Runway near-hits in USA 281 242 219 186 200 240 275 292 325 321 421

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 117. The table that follows gives the population of a city. Find the power function that best fits the data, with x

equal to the number of years past 1950. According to the model, will the city's population be greater than 1,400 by the year 2010? Round your final answer to three decimal places. Year 1960 1970 1980 1990 2000

Population 698 872 1,172 1,197 1,218

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The model predicts that the population will not be greater than 1,400. b.

The model predicts that the population will not be greater than 1,400. c.

The model predicts that the population will be greater than 1,400. d.

The model predicts that the population will be greater than 1,400. e.

The model predicts that the population will not be greater than 1,400. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 118. Suppose that the following table shows the number of millions of people in the United States who lived below the poverty level for selected years. Find a cubic model that approximately fits the data, using x as the number of years after 1960. Round numerical values in your answer to four decimal places. Depending on the technology you use, your answer may be slightly different than the correct answer shown. Year 1960 1970 1975 1980 1989 1990 1992 1996 2000 2002

Persons Living Below the Poverty Level (millions) 50.1 9.8 17.8 22.3 60.4 60.5 65.4 80 80.5 83

a. b. c. d.

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e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 119. The table below shows the national expenditures for health care in a certain country for selected years. Find

a power model and a linear model for the data where x is the number of years after 1950. Which of the models seems to be the best to use if you are interested in finding the health care costs near the year 1990? Round numerical values in your answers to three decimal places. Year

1960 1970 1980 1990 2000

National Expenditures for Health Care (in billions) $22.8 $75.0 $248.2 $695.7 $1,428.4

The power model gives more accurate results near the year 1990. b.

The linear model gives more accurate results near the year 1990. c.

The power model gives more accurate results near the year 1990. d.

The linear model gives more accurate results near the year 1990. e.

The power model gives more accurate results near the year 1990. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 9:48 AM 11/16/2020 9:48 AM

120. Suppose the following table gives the U.S. population, in millions, for selected years, with projections to

2050. Find a linear model that approximately fits the data, with x equal to the number of years past 1960. Round numerical values in your answer to three decimal places. Depending on the technology you use, your answer may be slightly different than the correct answer shown. Year U. S. Populations (millions)

1960 178.671

1970 217.758

1980 227.726

1990 249.948

2000 284.878

2025 343.209

2050 410.081

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM 121. The table gives the percent of the population of a certain city that was foreign born in the given year. Find a

cubic function that best fits the data where x is the number of years after 1900 and y is equal to the percent. By trial and error, estimate the year the model predicts that the foreign-born population will be 100%. Round numerical values in your answer to three decimal places. Year 1900 1910 1920 1930 1940 1950

Percent Foreign Born 10.47 16.71 9.29 6.95 10.00 15.48

foreign born population will be 100% in 1965. b.

foreign born population will be 100% in 1975. c.

foreign born population will be 100% in 1975. Copyright Cengage Learning. Powered by Cognero.

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foreign born population will be 100% in 1965. e.

foreign born population will be 100% in 1985. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 9:48 AM DATE MODIFIED: 11/16/2020 9:48 AM

1. What is the order of matrices A, B, C, D, E?

a. Matrix A is 2×2, matrix B is 3×2, matrix C is 2×3, matrix D is 3×3, matrix E is 5×2. b. Matrix A is 6×10, matrix B is 3×5, matrix C is 1×3, matrix D is 14×3, matrix E is 2×3. c. Matrix A is 2×2, matrix B is 2×3, matrix C is 3×2, matrix D is 3×3, matrix E is 2×5. d. Matrix A is 2×2, matrix B is 3×3, matrix C is 3×3, matrix D is 3×3, matrix E is 5×5. e. Matrix A is 10×2, matrix B is 3×2, matrix C is 1×3, matrix D is 14×3, matrix E is 2×2. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 2. Write a zero matrix that is the same order as D.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 3. Write the matrix that is the negative of matrix B.

Page 361

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 4. What is element

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 5. Write the transpose of matrix A.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 6. Write the transpose of matrix F.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 7. What is the sum of matrix M and its negative? Copyright Cengage Learning. Powered by Cognero.

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, what is ?

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 10:21 AM 11/16/2020 10:21 AM

9. Use the following matrices to perform the indicated matrix operations, if possible.

; a.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 10. Use the following matrices to perform the indicated matrix operations, if possible.

; a.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 11. Use the following matrices to perform the indicated matrix operations, if possible.

; a.

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 12. Use the following matrices to perform the indicated matrix operations, if possible.

; a.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 13. Use the following matrices to perform the indicated matrix operations, if possible.

Page 367

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 14. Use the following matrices to perform the indicated matrix operations, if possible.

; a.

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; a.

is undefined

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 16. Use the following matrices to perform the indicated matrix operations, if possible.

Page 369

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 17. Use the following matrices to perform the indicated matrix operations, if possible.

; a.

Page 370

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 18. Use the following matrices to perform the indicated matrix operations, if possible.

; a.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 19. Use the following matrices to perform the indicated matrix operations, if possible.

;

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, and

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and

Page 373

d. e.

and and

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 24. The tables below give the numbers of some species of threatened and endangered wildlife in the United

States and in foreign countries in 2003. Write a matrix A that contains the number of each of these species in the United States in 2003 and a matrix B that contains the number of each of these species outside the United States in 2003. United States Mammals

Birds

Reptiles

Amphibians

Fish

Birds

Reptiles

Amphibians

Fish

Endangered Threatened Foreign Mammals Endangered Threatened a.

, b.

, c.

, d.

, e.

, ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 10:21 AM 11/16/2020 10:21 AM

25. The tables below give the numbers of some species of threatened and endangered wildlife in the United

States and in foreign countries in 2003. Find a matrix with the total number of these species. Assume that U.S. and foreign species are different. United States Mammals

Birds

Reptiles

Amphibians

Fish

Mammals

Birds

Reptiles

Amphibians

Fish

Endangered Threatened Foreign Endangered Threatened a.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 26. The tables below give the numbers of some species of threatened and endangered wildlife in the United

States and in foreign countries in 2003. Let A represent the matrix that contains the number of each of these species in the United States in 2003 and B represent the matrix that contains the number of each of these species outside the United States in 2003. Find the matrix B – A. What do the negative entries in matrix B – A mean? United States Mammals

Birds

Reptiles

Amphibians

Fish

Endangered Copyright Cengage Learning. Powered by Cognero.

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Threatened Foreign Mammals

Birds

Reptiles

Amphibians

Fish

Endangered Threatened a.

The negative entries tell us that that particular species is extinct. b.

The negative entries tell us how many more endangered or threatened species are in foreign countries. c.

The negative entries tell us that there are more endangered or threatened species in foreign countries. d.

The negative entries tell us that that particular species is extinct. e.

The negative entries tell us how many more endangered or threatened species are in the United States. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 27. The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their

2002 data. Form a matrix for the 1995 data and a matrix for the 2002 data. 1995 Breed Labrador retriever

Rank 1

Rottweiler

German shepherd Golden retriever

3 4

Number Registered

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Beagle Poodle

5 6

Cocker spaniel Dachshund

7 8

Pomeranian Yorkshire terrier

9 10

2002 Breed

Rank

Labrador retriever Rottweiler German shepherd Golden retriever Beagle Poodle

1 13 3 2 4 8

Cocker spaniel Dachshund

15 5

Pomeranian Yorkshire terrier

12 6

Number Registered

;

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;

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;

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 28. The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their

2002 data. Use a matrix operation to find the change from 1995 to 2002 in rank for each breed and in registration numbers for each breed. 1995 Breed Labrador retriever Rottweiler

Rank 1 2

German shepherd Golden retriever

3 4

Beagle Poodle

5 6

Cocker spaniel Dachshund

7 8

Pomeranian Yorkshire terrier

9 10

Number Registered

2002 Breed Labrador retriever Rottweiler

Rank 1 13

German shepherd

Golden retriever

Number Registered

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Beagle Poodle

4 8

Cocker spaniel Dachshund

15 5

Pomeranian Yorkshire terrier

12 6

Page 380

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 29. The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their

2002 data. Which breed had the greatest improvement in rank? 1995 Breed Labrador retriever Rottweiler

Rank 1 2

German shepherd Golden retriever

3 4

Beagle Poodle

5 6

Cocker spaniel Dachshund

7 8

Number Registered

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Pomeranian Yorkshire terrier

9 10

2002 Breed

Rank

Number Registered

Labrador retriever Rottweiler German shepherd Golden retriever Beagle Poodle Cocker spaniel Dachshund Pomeranian Yorkshire terrier a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 30. The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their

2002 data. Which breed had the largest increase in the number of registrations? 1995 Breed Labrador retriever

Rank 1

Rottweiler German shepherd Golden retriever

2 3 4

Beagle Poodle

5 6

Cocker spaniel

Number Registered

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Dachshund

Pomeranian Yorkshire terrier

9 10

2002 Breed Labrador retriever Rottweiler German shepherd

Rank

Number Registered

Golden retriever Beagle Poodle Cocker spaniel Dachshund Pomeranian Yorkshire terrier a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 31. The following tables give the capital expenditures and gross operating costs of manufacturing

establishments for pollution abatement, in millions of dollars. Use a calculator or spreadsheet to find the sum of the matrices containing these data. This will yield the total costs of manufacturing establishments for air, water, and solid contained waste pollution abatement for the years 2002–2005. Pollution Abatement Capital Expenditures Air

Water

Solid Contained Waste

2002 2003 Copyright Cengage Learning. Powered by Cognero.

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2004 2005 Pollution Abatement Gross Operating Costs Solid Air Water Contained Waste 2002 2003 2004 2005 a.

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32. The following tables give the capital expenditures and gross operating costs of manufacturing

establishments for pollution abatement, in millions of dollars. Which type of pollution abatement was most expensive in 2005? Pollution Abatement Capital Expenditures Air

Water

Solid Contained Waste

2002 2003 2004 2005 Pollution Abatement Gross Operating Costs Solid Air Water Contained Waste 2002 2003 2004 2005 a. Water b. Air c. Solid Contained Waste ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 33. The following tables give the death rates, per 100,000 population, by age for selected years for males and

females. If matrix M gives the male data and matrix F gives the female data, use matrix operations to find the death rate per 100,000 for all people in the age categories given and for the given years. Males Under 1

1-4

5-14

15-24 25-34

35-44

45-54

1970 Copyright Cengage Learning. Powered by Cognero.

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1980 1990 1994 2001 Females Under 1

1-4

5-14 15-24

25-34

35-44 45-54

1970 1980 1990 1994 2001 a.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 34. The following tables give the death rates, per 100,000 population, by age for selected years for males and

females. If matrix M gives the male data and matrix F gives the female data, find matrix M - F and describe what it means. Males Under 1

15-24 25-34

1-4

5-14

1-4

5-14 15-24

35-44

45-54

1970 1980 1990 1994 2001 Females Under 1

25-34

35-44 45-54

1970 1980 1990 1994 2001

Page 387

M – F represents how much greater the numbers are for males in each category per year. b.

M – F represents how much greater the numbers are for males in each category per year. c.

M – F represents how much greater the numbers are for females in each category per year. d.

M – F represents how much greater the numbers are for females in each category per year. e.

M – F represents only the male death rates, per 100,000 population by age. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 35. Let matrix A represent the sales (in thousands of dollars) for the Walbash Company in 2004 in various cities,

and let matrix B represent the sales (in thousands of dollars) for the same company in 2005 in the same cities. Write the matrix that represents the total sales by type (wholesale and retail) and city (Chicago, Atlanta, and Memphis) for both years. Copyright Cengage Learning. Powered by Cognero.

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; a.

and let matrix B represent the sales (in thousands of dollars) for the same company in 2005 in the same cities. Write the matrix that represents the change in sales by type (wholesale and retail) and city (Chicago, Atlanta, and Memphis) from 2004 to 2005.

; a.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 37. A poll of 3670 people revealed that of the respondents who were registered Republicans, 893 approved of

the president’s job performance, 257 did not, and 135 had no opinion. Of the registered Democrats, 142 approved of the president’s job performance, 476 did not, and 501 had no opinion. Of those registered as Independents, 177 approved, 114 did not approve, and 751 had no opinion. Of the remaining respondents, who were not registered, 142 approved, 38 did not approve, and 44 had no opinion. Represent these data in a 3×4 matrix. a.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 38. From the data in the following table, make a matrix A that gives the value (in billions of dollars) of U.S. Copyright Cengage Learning. Powered by Cognero.

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imports from the various country groupings in the years 2000 and 2002. Imports to U.S. from Country Groupings ($billions) 2000 2002 North America 366.8 343.0 Western Europe 260.7 266.0 South/Central America 93.3 89.5 Pacific Rim 438.0 393.5 Exports from U.S. to Country Groupings ($billions)

North America Western Europe South/Central America Pacific Rim

2000 2002 310.3 278.4 181.5 177.0 59.3 51.6 222.6 178.6

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

Page 391

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:21 AM DATE MODIFIED: 11/16/2020 10:21 AM 39. Using the data in the following tables, Let matrix A represent imports (in billions of dollars) to U.S. from

country groupings, and let matrix B represent exports (in billions of dollars) from U.S. to country groupings. Find the U.S. trade balance with each country grouping in each year by finding matrix B - A. Imports to U.S. from Country Groupings ($billions) 2000 2002 North America 366.8 363.0 Western Europe 260.7 246.0 South/Central America 73.3 89.5 Pacific Rim 418.0 413.5 Exports from U.S. to Country Groupings ($billions)

North America Western Europe South/Central America Pacific Rim

2000 2002 290.3 278.4 181.5 177.0 59.3 51.6 222.6 198.6

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country groupings, and let matrix B represent exports (in billions of dollars) from U.S. to country groupings. Find the total U.S. trade with these groupings by finding A + B. Imports to U.S. from Country Groupings ($billions) 2000 2002 North America 386.8 363.0 Western Europe 260.7 246.0 South/Central America 73.3 89.5 Pacific Rim 418.0 413.5 Exports from U.S. to Country Groupings ($billions)

North America Western Europe South/Central America Pacific Rim

2000 2002 310.3 258.4 181.5 177.0 79.3 51.6 202.6 178.6

Page 393

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 41. Ace, Baker, and Champ are being purchased by ALCO, Inc., and their outstanding debts must be paid by the

purchaser. The matrix below gives the amounts of debt and the terms for the companies being purchased. If ALCO pays 35% of the amount owed on each debt, write the matrix giving the remaining debts.

Page 394

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 42. Ace, Baker, and Champ are being purchased by ALCO, Inc., and their outstanding debts must be paid by the

purchaser. The matrix below gives the amounts of debt and the terms for the companies being purchased. Suppose ALCO decides to pay 80% of all debts due in 30 days and to increase the debts due in 60 days by 20%. Write a matrix that gives the debts after these transactions are made.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 43. When a firm buys another company, the company frequently has some outstanding debt that the purchaser Copyright Cengage Learning. Powered by Cognero.

Page 395

must pay. Consider three companies, A, B, and C, that are purchased by Maxx Industries. The following table gives the amount of each company’s debt, classified by the number of days remaining until the debt must be paid. Suppose Maxx Industries pays 20% of the amount owed on each loan. Write the matrix that would give the remaining debt in each category. Company

30 Days

60 Days

More than 60 Days

A B C a.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 44. When a firm buys another company, the company frequently has some outstanding debt that the purchaser

must pay. Consider three companies, A, B, and C, that are purchased by Maxx Industries. The following table gives the amount of each company’s debt, classified by the number of days remaining until the debt must be paid. What payment plan did Maxx Industries use if the outstanding debt is given by the following matrix? Company

30 Days

60 Days

More than 60 Days

A Copyright Cengage Learning. Powered by Cognero.

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B C

a. They paid 80% of the debts due in 30 days, 100% of the debts due in 60 days, and 100% of the debts

due in more than 60 days. b. They paid 80% of the debts due in 30 days, 80% of the debts due in 60 days, and 100% of the debts due in more than 60 days. c. They paid 100% of the debts due in 30 days, 100% of the debts due in 60 days, and 80% of the debts due in more than 60 days. d. They paid 100% of the debts due in 30 days, 80% of the debts due in 60 days, and 100% of the debts due in more than 60 days. e. They paid 100% of the debts due in 30 days, 80% of the debts due in 60 days, and 80% of the debts due in more than 60 days. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 45. In order to rank the five members of its chess team for play against another school, the coach draws the

following diagram. An arrow from 1 to 2 means player 1 has defeated player 2. 2

Construct matrix A with elements

Page 397

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 46. In order to rank the five members of its chess team for play against another school, the coach draws the

following diagram. An arrow from 1 to 2 means player 1 has defeated player 2. 3

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Construct matrix B with elements

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 47. In order to rank the five members of its chess team for play against another school, the coach draws the

following diagram. An arrow from 1 to 2 means player 1 has defeated player 2. 1

Page 399

Let matrix A represent the matrix with the following elements:

Let matrix B represent the matrix with the following elements: . The player i is the top-ranked player if the sum of row i in the matrix A + B is the largest. What is the number of this player? a. player 3 b. player 2 c. player 5 d. player 1 e. player 4 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 48. The figure that follows depicts the mean (average) flow time for a job when the critical-ratio rule is used to

dispatch workers at several machines required to complete the job. In the figure, WHN 1, WHN 2, and WHN 3 represent three different rules for determining when a worker should be transferred to another machine, and Where represents six rules for determining the machine to which the worker is transferred. Construct a 3×6 matrix A to represent these data, with entries rounded to the nearest integer.

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49. The matrix that follows represents work efficiency for workers at nine different work centers. Suppose that

the work centers changes in rules cause efficiency to decrease by 0.03 at work centers 2 and 5 and to decrease by 0.02 at work center 7. Write the matrix that describes the new efficiencies. 1

Work Centers 3 4 5

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 50. Use a computer spreadsheet to find the average efficiency for each work center over the first five workers.

Which work center is the most efficient? Work Centers 1 2 3

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a. Number 1 b. Number 4 c. Number 3 d. Number 8 e. Number 3 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 51. Multiply the matrices.

a. b. c. d. e.

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52. Multiply the matrices.

a. b. c. d.

e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 53. Multiply the matrices.

a. b. c.

d. e.

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54. Use the matrices to find CD, if possible.

e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 55. Use the matrices to find DE, if possible.

ANSWER: POINTS:

c 1

Page 406

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 56. Use the matrices to find CF, if possible.

e. CF is undefined. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 57. Use the matrices to find EC, if possible.

Page 407

e. EC is undefined. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 58. Use the matrices to find BA, if possible.

e. BA is undefined. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 59. Use the matrices to find

, if possible.

Page 408

is undefined.

e. BE is undefined. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

e 1 Multi-Mode (Multiple choice) True

Page 409

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 61. Use the matrices to find

, if possible.

is undefined.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 2

62. Use matrix A to find A , if possible.

Page 410

e. A2 is undefined. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 3

63. Use matrix A to find A , if possible.

e. A3 is undefined. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 2

64. Use matrix F to find F , if possible. Copyright Cengage Learning. Powered by Cognero.

Page 411

c. d.

e. F2 is undefined. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 65. (CD)·E and C·(DE) are equal.

a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 66. CD = DC.

a. True b. False ANSWER: False POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True Copyright Cengage Learning. Powered by Cognero.

Page 412

DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM

and

67.

are equal.

a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 68. Use the matrices below. Perform the indicated operations.

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

Page 413

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 69. Use the matrices below. Perform the indicated operations.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 70. Use the matrices below. Perform the indicated operations.

Page 414

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 71. Use the matrices below. Perform the indicated operations.

ANSWER:

Page 415

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 72. Use the matrices below. Perform the indicated operations.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 73. Use the matrices below. Perform the indicated operations.

Page 416

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 74. Use the matrices below. Perform the indicated operations.

I·F·Z

Page 417

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 75. Is it true for matrices (as it is for real numbers) that multiplication by a zero matrix only sometimes gives is

a result of a zero matrix provided the multiplication is defined? a. True b. False ANSWER: False POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: False DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM

76. Find AB and BA if

and

, with

, b.

, c.

, d.

ANSWER: POINTS:

e 1

Page 418

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 77. Using the matrices A and B below, what condition must be satisfied in order that AB and BA are defined?

and a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM

78. For

, are FFT and F F defined?

a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM

79. For

, what size is each product FFT and F F?

a. FFT is 2×2; FTF is 2×2 b. FFT is 2×2; FTF is 4×4 c. FFT is 4×2; FTF is 4×4 d. FFT is 4×4; FTF is 2×2 e. FFT is 2×4; FTF is 4×2 Copyright Cengage Learning. Powered by Cognero.

Page 419

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM

80. For a. b. c. d. e.

, can

? Explain.

No, because

and

have the same dimensions but different values.

Yes, because

and

have the same dimensions.

Yes, because

and

have the same values.

No, because

and

have different dimensions.

Yes, because

and

have the same dimensions and the same values.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 81. Substitute the given values of x, y, and z into the matrix equation and use matrix multiplication to determine

if the values satisfy the equation.

a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 82. Substitute the given values of x, y, and z into the matrix equation and use matrix multiplication to determine

if the values satisfy the equation.

Page 420

a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 83. Substitute the given values of x, y, and z into the matrix equation and use matrix multiplication to determine

if the values satisfy the equation.

a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 84. Substitute the given values of x, y, and z into the matrix equation and use matrix multiplication to determine

if the values satisfy the equation.

a. True b. False ANSWER: False POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 85. Use technology to find the product AB of the following matrices.

Page 421

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 86. A car dealer can buy midsize cars for 9% under the list price, and he can buy luxury cars for 15% under the

list price. The following table gives the list prices for two midsize and two luxury cars. Midsize

36,000

42,000

Page 422

Luxury

50,000

56,000

Write these data in a matrix and multiply it on the left by the matrix

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 87. A clothing manufacturer has factories in Atlanta, Chicago, and New York. Sales (in thousands) during the

first quarter are summarized in the matrix below.

During this period, the selling price of a coat was $225, of a shirt $40, of a pair of pants $45, and of a tie $25. Use matrix multiplication to find the total revenue received by each factory. a. Atlanta $21,170,000; Chicago $16,180,000; New York $10,730,000; b. Atlanta $12,845,000; Chicago $17,475,000; New York $6,290,000; c. Atlanta $21,170; Chicago $16,180; New York $10,730; d. Atlanta $12,845; Chicago $17,475; New York $6,290; e. Atlanta $1,286,500; Chicago $1,727,500; New York $629,000. ANSWER:

Page 423

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 88. Matrix A below gives the fraction of the Earth’s area and the projected fraction of its population for five

continents in 2050. Matrix B gives the Earth’s area (in square miles) and its projected 2050 population. Find the area and population of each given continent by finding AB.

Page 424

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 89. Suppose the weights (in grams) and lengths (in centimeters) of three groups of laboratory animals are given

by matrix A, where column 1 gives the lengths and each row corresponds to one group.

If the increase in both weight and length over the next two weeks is 15% for group I, 5% for group II, and 2% for group III, then the increases in the measures during the 2 weeks can be found by computing GA, where

What are the increases in respective weights and measures at the end of these 2 weeks? a.

Page 425

90. Suppose the weights (in grams) and lengths (in centimeters) of three groups of laboratory animals are given

by matrix A, where column 1 gives the lengths and each row corresponds to one group.

If the increase in both weight and length over the next two weeks is 19% for group I, 8% for group II, and 3% for group III, then the increases in the measures during the 2 weeks can be found by computing GA, where

Find the matrix that gives the new weights and measures at the end of this period by computing where is the 3×3 identity matrix.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 91. Multiplication by a matrix can be used to encode messages (and multiplication by its inverse can be used to

decode messages). Given the code a

b c blank 1 2 3

5 6

9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

Page 426

27 and the code matrix

, use matrix A to encode the message "The die is cast."

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 92. Multiplication by a matrix can be used to encode messages (and multiplication by its inverse can be used to

decode messages). Given the code a

b c blank 1 2 3 27

5 6

9 10 11 12 13

and the code matrix

14 15 16 17

18 19 20 21 22 23 24 25 26

, use matrix A to encode the message "To be or not to be."

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 93. Suppose products A and B are made from plastic, steel, and glass, with the number of units of each raw

material required for each product given by the table below. Product A

Plastic 3

Steel 1

Glass 0.50 Page 427

Product B

0.50

Because of transportation costs to the firm's two plants, X and Y, the unit costs for some of the raw materials are different. The table below gives the unit costs for each of the raw materials at the two plants. Plastic Steel Glass

Plant X 10 23 15

Plant Y 8 27 13

Using the information just given, find the total cost of producing each of the products at each of the factories. a.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 94. Consider the original budget matrix. Assume there is a 20% increase in manufacturing, a 4% increase in

office, a 6% increase in sales, a 21% increase in shipping, a 6% increase in accounting, and a 3% decrease in management. Find the new budget matrix by developing a matrix A to represent these departmental increases and then computing the matrix BA. Mfg. Supplies Phone Transp. Salaries Utilities Materials

Office

0.7 0.5 2.2 251.8 30.0 788.9

Sales 8.5 0.2 0.4 63.4 1.0 0

Shp 10.2 6.1 8.8 81.6 1.0 0

Act. 1.1 1.3 1.2 35.2 1.0 0

Mgt. 5.6 0.2 1.2 54.3 1.0 0

3.6 1.0 4.8 144.2 1.0 0 Page 428

Mfg. = Manufacturing; Shp = Shipping; Act. = Accounting; Mgt. = Management

ANSWER:

Page 429

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM

95. Use the indicated row operation to change matrix A, where

Add

times row 1 to row 3 of matrix A and place the result in row 3 to get 0 in row 3, column 1.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 96. Write the augmented matrix associated with the system.

Page 430

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 97. Write the augmented matrix associated with the system.

Page 431

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 98. The given matrix is an augmented matrix used in the solution of a system of linear equations. What is the

solution of the system?

, c.

, ,

, e.

, ,

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

Page 432

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 99. The given matrix is an augmented matrix used in the solution of a system of linear equations. What is the

solution of the system?

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 100. The given matrix is an augmented matrix used in the solution of a system of linear equations. What is the

solution of the system?

d. e.

, ,

ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

Page 433

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 101. The given matrix is an augmented matrix representing a system of linear equations. Find the solution of the

system.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 102. The given matrix is an augmented matrix representing a system of linear equations. Find the solution of the

system.

, , ,

Page 434

103. The given matrix is an augmented matrix representing a system of linear equations. Find the solution of the

system.

, ,

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 104. Use row operations on the augmented matrix to solve the given system of linear equations.

d. e.

, ,

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 105. Use row operations on the augmented matrix to solve the given system of linear equations.

Page 435

a. b.

, , ,

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 106. Use row operations on the augmented matrix to solve the given system of linear equations.

, , ,

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 107. Use row operations on the augmented matrix to solve the given system of linear equations.

Page 436

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 108. Use row operations on the augmented matrix to solve the given system of linear equations.

, ,

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 109. Use row operations on the augmented matrix to solve the given system of linear equations.

b. c.

, ,

Page 437

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 110. A system of linear equations and a reduced matrix for the system are given. Use the reduced matrix to find

the general solution of the system, if one exists

e. no solution ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 111. A system of linear equations and a reduced matrix for the system are given. Use the reduced matrix to find

the general solution of the system, if one exists.

Page 438

e. no solution ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 112. A system of linear equations and a reduced matrix for the system are given. Use the reduced matrix to find

the general solution of the

system, if one exists.

, for any real number z.

e. no solution ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 113. A system of linear equations and a reduced matrix for the system are given. Use the reduced matrix to find

the general solution of the

system, if one exists.

Page 439

, for any real number z.

d. e. no solution ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 114. Describe the procedure for finding the general solution of a system of three linear equations involving p, q,

and r if its reduced matrix indicate has one row of zeros at the bottom. You may assume that the coefficients in the augmented matrix correspond to variables in alphabetical order from left to right. a. Use the reduced matrix to find equations for each variable p, q, and r. These equations can be used as

the general solution to the system of equations. b. Use the reduced matrix to find a general equation for p in terms of q and r. This equation can be used as the general solution to the system of equations. c. Use the reduced matrix to solve for p and q in terms of r. These solutions will be valid for any real value of r. d. Use the reduced matrix to solve for r in terms of p and q. This solution will be valid for any real value of p and q. e. It is not possible to find a general solution for a system of three linear equations if its reduced matrix indicates an infinite number of solutions. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 115. A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use

matrices to find the general solution of the following system.

Page 440

, for any real number z.

, e. no solution

, for any real number z.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 116. A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use

matrices to find the general solution of the following system.

, b.

, for any real number z.

d. e. no solution ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 117. A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use

matrices to find the general solution of the following system, if a solution exists.

Page 441

, for any real number z.

e. no solution ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 118. A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use

matrices to find the general solution of the following system, if a solution exists.

, e. no solution

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 119. A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use

matrices to find the general solution of the following system, if a solution exists.

Page 442

, for any real number of z.

e. no solution ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 120. A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use

matrices to find the general solution of the following system, if a solution exists.

, b.

, for any real number z.

, d.

, ,

e. no solution ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 121. A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use

matrices to find the general solution of the following system, if a solution exists.

, for any real number z.

Page 443

, for any real number z.

e. no solution ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 122. A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use

matrices to find the general solution of the following system, if a solution exists.

, b.

, for any real number .

e. no solution ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 123. A system of equations may have a unique solution, an infinite number of solutions, or no solution. Use

matrices to find the general solution of the following system, if a solution exists.

a. b.

, ,

, for any real number

Page 444

, for any real number

e. No solution ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 124. Use technology to solve the system of equations, if a solution exists.

, for any real number

e. no solution ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 125. Use technology to solve the system of equations, if a solution exists.

, Page 445

, e. no solution

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 126. Use technology to solve the system of equations, if a solution exists.

a. b.

, ,

, e. no solution

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 127. Use technology to solve the system of equations, if a solution exists.

, ,

, for any real number

, ,

Page 446

, for any real number

e. no solution ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 128. Use technology to solve the system of equations, if a solution exists.

a. b. c.

, ,

, for any real number

and

, for any real number

and

e. no solution ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 129. Solve the following system of equations for y. This gives a formula for solving two equations in two

variables for y.

Page 447

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 130. A man has $399,500 invested in three properties. One earns 12%, one 10%, and one 8%. His annual

income from the properties is $38,250 and the amount invested at 8% is twice that invested at 12%. How much is invested in each property? a. $47,940 at 12%, $39,950 at 10%, $31,960 at 8% b. $125,800 at 12%, $62,900 at 10%, $210,800 at 8% c. $108,800 at 12%, $96,900 at 10%, $193,800 at 8% d. $78,625 at 12%, $157,250 at 10%, $163,625 at 8% e. $85,000 at 12%, $144,500 at 10%, $170,000 at 8% ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 131. A man has

invested in three properties. One earns 12%, one 10%, and one 8%. His annual income from the properties is and the amount invested at 8% is twice that invested at 12%. What is the annual income from each property? a. b. c. d. e. ANSWER:

Page 448

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 132. A bank lent

million for the development of three new products, with one loan at 6%, one loan at 7%, and the third loan at 8%. The amount lent at 8% was equal to the sum of the amounts lent at the other two rates, and the bank’s annual income from the loans was . How much was lent at each rate? a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 133. A psychologist studying the effects of nutrition on the behavior of laboratory rats is feeding one group a

combination of three foods: I, II, and III. Each of these foods contains three additives, A, B, and C, that are being used in the study. Each additive is a certain percentage of each of the foods as follows:

Additive A Additive B Additive C

Foods I 10% 0% 2%

II 30 % 4% 2%

III 60% 5% 12 %

If the diet requires 53 g per day of A, day of each food that must be used.

g per day of B, and

g per day of C, find the number of grams per

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

Page 449

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 134. A brokerage house offers three stock portfolios. Portfolio I consists of 2 blocks of common stock and 1

municipal bond. Portfolio II consists of 4 blocks of common stock, 2 municipal bonds, and 3 blocks of preferred stock. Portfolio III consists of 7 blocks of common stock, 3 municipal bonds, and 3 blocks of preferred stock. A customer wants blocks of common stock, municipal bonds, and blocks of preferred stock. How many units of each portfolio should be offered? a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 135. Each ounce of substance A supplies

of the required nutrition a patient needs. Substance B supplies of the required nutrition per ounce and substance C supplies of required nutrition per ounce. If digestive restrictions require that substances A and C be given in equal amounts and that the amount of substance B be one-fifth of these other amounts, find the number of ounces of each substance that should be in the meal to provide 100% nutrition. a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 136. The King Trucking Company has an order for three products for delivery. The following table gives the

particulars for the products. Copyright Cengage Learning. Powered by Cognero.

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Unit volume (cubic feet) Unit weight (pounds) Unit value (dollars)

Type I Type II Type III 10 8 20 10 20 40 100 20 200

If the carrier can carry 6,000 cu ft, can carry can be carried?

, and is insured for

, how many units of each type

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 137. A botanist can purchase plant food of four different types, I, II, III, and IV. Each food comes in the same

size bag, and the following table summarizes the number of grams of each of three nutrients that each bag contains.

Nutrient A Nutrient B Nutrient C

Food(grams) I II 5 5 10 5 5 15

III 10 30 10

IV 5 10 25

The botanist wants to use a food that has these nutrients in a different proportion and determines that he will need a total of of A, of B, and of C. Let x = Type I bags, y = Type II bags, z = Type III bags, and w = Type IV bags, where x, y, z, and w are non-negative amounts. Find a general solution that will determine the number of bags of each type of food that should be ordered. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 138. In the analysis of traffic flow, a certain city estimates the following situation for the ―square‖ of its

downtown district. In the following figure, the arrows indicate the flow of traffic. If represents the number of cars traveling between intersections A and B, represents the number of cars traveling between B and C, the number between C and D, and the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain Formulate equations for the traffic at B, C, and D.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM Copyright Cengage Learning. Powered by Cognero.

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139. In the analysis of traffic flow, a certain city estimates the following situation for the ―square‖ of its

downtown district. In the following figure, the arrows indicate the flow of traffic. If x1 represents the number of cars traveling between intersections A and B, x2 represents the number of cars traveling between B and C, x3 the number between C and D, and x4 the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain Formulate equations for the traffic at B, C, and D. Solve the system of these four equations.

a. b. , c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 140. Three different bacteria are cultured in one dish and feed on three nutrients. Each individual of species I

consumes 1 unit of each of the first and second nutrients and 2 units of the third nutrient. Each individual of species II consumes 2 units of the first nutrient and 2 units of the third nutrient. Each individual of species III Copyright Cengage Learning. Powered by Cognero.

Page 453

consumes 2 units of the first nutrient, 3 units of the second nutrient, and 5 units of the third nutrient. Let x1, x2 and x3 represent species I, II and III respectively. If the culture is given units of the first nutrient, units of the second nutrient, and units of the third nutrient, how many of each species can be supported such that all of the nutrients are consumed? a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 141. An irrigation system allows water to flow in the pattern shown in the figure below. Water flows into the

system at A and exits at B, C, D, and E with the amounts shown. Using the fact that at each point the water entering equals the water leaving, formulate an equation for water flow at each of the five points and solve the system.

(in thousands of gallons)

c. d. e. ANSWER: POINTS:

, ,

(in thousands of gallons) ,

(in thousands of gallons)

e 1

Page 454

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 142. A trust account manager has $220,000 to be invested. The investment choices have current yields of 8%,

7%, and 10%. Suppose that the investment goal is to earn interest of $15,700, and risk factors make it prudent to invest some money in all three investments. Let x denote the amount invested at 8 %, y denote the amount invested at 7%, and z denote the amount invested at 10%. Find a general description for the amounts invested at the three rates. a.

with ,

d. e.

with with

, ,

with with

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 143. A trust account manager has $220,000 to be invested. The investment choices have current yields of 8%,

7%, and 10%. Suppose that the investment goal is to earn interest of $16,600, and risk factors make it prudent to invest some money in all three investments. If $21,000 is invested at 10%, how much will be invested at each of the other rates? a. $77,000 at 8%; $122,000 at 7%; b. $47,000 at 8%; $152,000 at 7%; c. $57,000 at 8%; $142,000 at 7%; d. $37,000 at 8%; $162,000 at 7%; e. $67,000 at 8%; $132,000 at 7% ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 144. A trust account manager has $220,000 to be invested. The investment choices have current yields of 8%,

7%, and 10%. Suppose that the investment goal is to earn interest of $15,500, and risk factors make it prudent to invest some money in all three investments. What is the minimum amount that will be invested at 7%, and in Copyright Cengage Learning. Powered by Cognero.

Page 455

this case how much will be invested at the other rates? a. $10,000 at 8%, $0 at 7%, $210,000 at 10% b. $0 at 8%, $200,000 at 7%, $20,000 at 10% c. $5,000 at 8%, $205000 at 7%, $10,000 at 10% d. $10,000 at 8%, $210,000 at 7%, $0 at 10% e. $0 at 8%, $220,000 at 7%, $0 at 10% ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 145. A trust account manager has $220,000 to be invested. The investment choices have current yields of 8%,

7%, and 10%. Suppose that the investment goal is to earn interest of $15,700, and risk factors make it prudent to invest some money in all three investments. What is the maximum amount that will be invested at 7%, and in this case how much will be invested at the other rates? a. $220,000 at 7%, $0 at 8%, $0 at 10% b. $200,000 at 7%, $10,000 at 8%, $10,000 at 10% c. $210,000 at 7%, $0 at 8%, $10,000 at 10% d. $10,000 at 7%, $0 at 8%, $210,000 at 10% e. $190,000 at 7%, $20,000 at 8%, $10,000 at 10% ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 146. A brokerage house offers three stock portfolios. Portfolio I consists of 2 blocks of common stock and 1

municipal bond. Portfolio II consists of 4 blocks of common stock, 2 municipal bonds, and 3 blocks of preferred stock. Portfolio III consists of 2 blocks of common stock, 1 municipal bond, and 3 blocks of preferred stock. A customer wants 96 blocks of common stock, 48 municipal bonds, and 36 blocks of preferred stock. Let x equal the number of units of Portfolio I, y equal the number of units of Portfolio II, and z equal the number of units of Portolio III. If the numbers of the three portfolios offered must be integers, find the general solution that can be used to determine all possible offerings. a. b.

, ,

c. d.

, ,

Page 456

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 147. If A is a

matrix and B is its inverse, what does the product AB equal?

zero matrix

identity matrix

zero matrix e. matrix A ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM

148. If

and

, are C and D inverse matrices?

a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM

149. If

and

, does

a. Yes b. No Copyright Cengage Learning. Powered by Cognero.

Page 457

ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM

150. If

and

, does

a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 151. Find the inverse matrix, if one exists.

e. no inverse exists ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 152. Find the inverse matrix, if one exists. Copyright Cengage Learning. Powered by Cognero.

Page 458

e. no inverse exists ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 153. Find the inverse matrix, if one exists.

e. no inverse exists ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

Page 459

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:22 AM DATE MODIFIED: 11/16/2020 10:22 AM 154. Find the inverse of matrix A and check it by calculating

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM Copyright Cengage Learning. Powered by Cognero.

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155. Find the inverse of matrix A and check it by calculating

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 156. Find the inverse of matrix A and check it by calculating

Page 461

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 157. Find the inverse matrix, if one exists.

Page 462

e. no inverse exists ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 158. Find the inverse matrix, if one exists.

Page 463

e. no inverse exists ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 159. Find the inverse matrix, if one exists.

e. no inverse exists ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 160. Find the inverse matrix, if one exists.

Page 464

e. no inverse exists ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM

161. Use a graphing calculator to find the inverse of

Page 465

Page 466

Solve

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 163. The inverse of matrix A is given. Use the inverse to solve for X. Copyright Cengage Learning. Powered by Cognero.

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Solve

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 164. The inverse of matrix A is given. Use the inverse to solve for X.

Solve

Page 468

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 165. Use the inverse to solve.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 166. Use inverse matrices to solve the system of linear equations.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 10:23 AM 11/16/2020 10:23 AM

167. Use inverse matrices to solve the system of linear equations.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 168. Use inverse matrices to solve the system of linear equations.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 169. Use inverse matrices to find the solution of the system of equations.

Page 470

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 170. Use inverse matrices to find the solution of the system of equations.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 171. Use inverse matrices to find the solution of the system of equations.

a. b. c. d. e. ANSWER: POINTS:

e 1

Page 471

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 172. Use inverse matrices and the graphing calculator to find the solution of the system of equations.

ANSWER:

Page 472

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 173. Evaluate the determinant.

a. –18 b. 10 c. –10 d. –13 e. 17 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 174. Use determinants to decide whether the matrix has an inverse.

a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 175. Evaluate the determinant.

a. 12 b. 4 Copyright Cengage Learning. Powered by Cognero.

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c. 3 d. 10 e. 9 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 176. Evaluate the determinant.

a. 22 b. –12 c. –2 d. –18 e. –4 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 177. Use technology to find the determinant.

a. 5 b. 15 c. 7 d. 9 e. 1 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 10:23 AM 11/16/2020 10:23 AM

178. Use technology to find the determinant.

a. 13 b. 15 c. 10 d. 7 e. 11 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 179. Use determinants to decide whether the matrix has an inverse.

a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 180. Use technology to find the determinant.

a. 431 b. 429 c. 446 Copyright Cengage Learning. Powered by Cognero.

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d. 411 e. 412 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 181. We have encoded messages by assigning the letters of the alphabet the numbers 1–26, with a blank

assigned the number 27, and by using an encoding matrix A that converts the numbers to the coded message. To -1 -1 decode any message encoded by A, we must find the inverse of A, denoted by A , and multiply A times the coded message. Use this code and the given encoding matrix A to find the matrix that can be used to decode the given message. Code matrix is

The message is 138, 59, 72, 29, 143, 58, 57, 24, 101, 44 a.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM

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182. If the code matrix is

, find the matrix that can be used to decode the message 47, 36, 35, 28, -1

92, 69, 63, 93, 74, 56, 71, 57, 17, 17, 16. (Because A and A are 3 × 3 matrices, use triples of numbers.) a.

The code matrix is

. The message is 33, 132, 215, 22, 110, 215, 34, 132, 217.

Page 477

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 184. Suppose that a government study showed that 90% of urban families remained in an urban area in the next

generation (and 10% moved to a rural area), whereas 70% of rural families remained in a rural area in the next generation (and 30% moved to an urban area). This means that if families u0 and of rural families r0, then

represents the current percents of urban represents the percents of urban families u and

rural families r one generation from now. Currently the population is 60% urban and 40% rural. Find the percents in each group one generation before this one. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 185. Set up the system of equations and then solve it by using inverse matrices.

Transportation The Ace Freight Company has an order for two products to be delivered to two stores of a company. The table below gives information regarding the two products. Copyright Cengage Learning. Powered by Cognero.

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Unit volume (cu ft) Unit Weight (lb)

Product I 20 100

Product II 30 400

If truck A can carry 2400 cu ft and 20,000 lb, how many of each product can it carry? a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 186. Set up the system of equations and then solve it by using inverse matrices.

Transportation The Ace Freight Company has an order for two products to be delivered to two stores of a company. The table below gives information regarding the two products.

Unit volume (cu ft) Unit Weight (lb)

Product I 20 100

Product II 30 400

If truck B can carry 2250 cu ft and 24,000 lb, how many of each product can it carry? a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 187. Set up the system of equations and then solve it by using inverse matrices. Copyright Cengage Learning. Powered by Cognero.

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Nutrition A biologist has a 40% solution and a 10% solution of the same plant nutrient. How many cubic centimeters of each solution should be mixed to obtain 25 cc of a 28% solution? a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 188. A manufacturer of table saws has three models: Deluxe, Premium, and Ultimate, which must be painted,

assembled, and packaged for shipping. The table gives the number of hours required for each of these operations for each type of table saw. If the manufacturer has 98 hours available per day for painting, 150 hours for assembly, and 36 hours for packaging, how many of each type of saw can be produced each day?

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 189. Set up the system of equations and then solve it by using inverse matrices.

Transportation Ace Trucking Company has an order for three products, A, B, and C to be delivered. The table gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the carrier can carry 8,000 cu ft and 12,400 lb and is insured for $54,200, how many units of each product can be carried? Copyright Cengage Learning. Powered by Cognero.

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Unit volume (cu ft) Weight (lb) Value ($)

Product Product A B 24 20 40 30 150 180

Product C 40 60 200

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 190. Set up the system of equations and then solve it by using inverse matrices.

Investment A company offers three mutual fund plans for its employees. Plan I consists of 4 blocks of common stock and 2 municipal bonds. Plan II consists of 8 blocks of common stock, 4 municipal bonds, and 6 blocks of preferred stock. Plan III consists of 14 blocks of common stock, 6 municipal bonds, and 6 blocks of preferred stock. An employee wants to combine these plans so that she has 84 blocks of common stock, 40 municipal bonds, and 36 blocks of preferred stock. How many units of each plan does she need? a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 191. Set up the system of equations and then solve it by using inverse matrices.

Bee ancestry Because a female bee comes from a fertilized egg and a male bee comes from an unfertilized egg, the number of ancestors of a male t + 2 bee generations before the present generation is the sum of the number of ancestors t and t + 1 generations before the present. If the numbers of ancestors of a Copyright Cengage Learning. Powered by Cognero.

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male bee in a given generation t and in the previous generation are given by

, then there is a matrix

M such that the numbers of ancestors in the two generations preceding generation t are given by .

For a given male bee, the numbers of ancestors 3 and 4 generations back are given by

Find the numbers of ancestors 2 and 3 generations back by multiplying both sides of

by the inverse

of M. a.

each other in the production of 1 unit of product.

For each 100 units of manufactured products produced, how many units of fuels are required? Copyright Cengage Learning. Powered by Cognero.

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a. 26.8 b. 2.1 c. 3.7 d. 21 e. 37 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 193. The following technology matrix for a simple economy describes the relationship of certain industries to

each other in the production of 1 unit of product.

How many units of utilities are required to produce 60 units of agricultural products? a. 6 b. 12 c. 18.6 d. 24 e. 7.2 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 194. For the economy, what industry is most dependent on utilities?

a. Manufacturing Copyright Cengage Learning. Powered by Cognero.

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b. Utilities c. Fules d. Agriculture e. All industries equally depend on utilities. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 195. The following technology matrix describes the relationship of certain industries within the economy to each

other. (A&F, agriculture and food; RM, raw materials; M, manufacturing; F, fuels industry; U, utilities; SI, service industries)

For each 1,000 units of raw materials produced, how many units of agricultural and food products were required? a. 4.3 b. 1.1 c. 43 d. 11 e. 48.4 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 196. The following technology matrix describes the relationship of certain industries within the economy to each

other. (A&F, agriculture and food; RM, raw materials; M, manufacturing; F, fuels industry; U, utilities; SI, service industries)

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For each 1,000 units of raw materials produced, how many units of service were required? a. 15.9 b. 159 c. 13 d. 1.3 e. 176.2 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 197. The following technology matrix describes the relationship of certain industries within the economy to each

other. (A&F, agriculture and food; RM, raw materials; M, manufacturing; F, fuels industry; U, utilities; SI, service industries)

How many units of fuels were required to produce 1,000 units of manufactured goods? a. 19.3 b. 13 c. 1.3 d. 5 e. 50 ANSWER: POINTS: QUESTION TYPE:

e 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 198. The following technology matrix describes the relationship of certain industries within the economy to each

other. (A&F, agriculture and food; RM, raw materials; M, manufacturing; F, fuels industry; U, utilities; SI, service industries)

How many units of fuels were required to produce 1,000 units of manufactured goods? a. 19.8 b. 13 c. 1.3 d. 5.5 e. 55 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 199. The following technology matrix describes the relationship of certain industries within the economy to each

other. (A&F, agriculture and food; RM, raw materials; M, manufacturing; F, fuels industry; U, utilities; SI, service industries)

Which industry is most dependent on its own goods for its operations? Copyright Cengage Learning. Powered by Cognero.

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a. utilities b. fuels c. manufacturing d. raw materials e. agriculture and food ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 200. The following technology matrix describes the relationship of certain industries within the economy to each

other. (A&F, agriculture and food; RM, raw materials; M, manufacturing; F, fuels industry; U, utilities; SI, service industries)

Which industry is least dependent on its own goods? a. service b. agriculture and food c. raw materials d. manufacturing e. fules ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 201. The following technology matrix describes the relationship of certain industries within the economy to each

other. (A&F, agriculture and food; RM, raw materials; M, manufacturing; F, fuels industry; U, utilities; SI, service industries)

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Which is most dependent on the service industry? a. manufacturing b. utilities c. service d. fuels e. agriculture and food ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 202. The following technology matrix describes the relationship of certain industries within the economy to each

other. (A&F, agriculture and food; RM, raw materials; M, manufacturing; F, fuels industry; U, utilities; SI, service industries)

Which industry would be most affected by a rise in the cost of fuels? a. manufacturing b. utilities c. fuels d. agriculture and food e. service ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 203. Suppose a primitive economy consists of two industries, farm products and farm machinery. Suppose also

that its technology matrix is

If surpluses of 99 units of farm products and 4 units of farm machinery are desired, find the gross production of each industry. a. 205 units of farm product, 40 units of machinery b. 240 units of farm product, 40 units of machinery c. 210 units of farm product, 35 units of machinery d. 205 units of farm product, 35 units of machinery e. 240 units of farm product, 250 units of machinery ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 204. Suppose an economy has two industries, agriculture and minerals. Suppose further that the technology

matrix for this economy is A.

If surpluses of 40 agricultural units and 90 mineral units are desired, find the gross production to the nearest unit for each industry. a. agriculture = 197, minerals = 129 b. agriculture = 69, minerals = 197 c. agriculture = 75, minerals = 122 d. agriculture = 75, minerals = 129 e. agriculture = 69, minerals = 122 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 205. A primitive economy has a mining industry and a fishing industry, with technology matrix A.

If surpluses of 117 units of mining output and 28 units of fishing output are desired, find the gross production of each industry. a. mining = 160, fishing = 60 b. mining = 160, fishing = 220 c. mining = 180, fishing = 60 d. mining = 180, fishing = 70 e. mining = 220, fishing = 70 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 206. Suppose the economy of an underdeveloped country has an agricultural industry and an oil industry, with

technology matrix A.

If surpluses of 0 units of agricultural products and 660 units of oil products are desired, find the gross production of each industry to the nearest unit. a. agricultural = 865, oil = 890 b. agricultural = 118, oil = 757 c. agricultural = 118, oil = 772 d. agricultural = 108, oil = 772 e. agricultural = 108, oil = 757 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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207. Suppose a simple economy with only an agricultural industry and a steel industry has the following

technology matrix.

If surpluses of 16 units of agricultural products and 32 units of steel are desired, find the gross production to the nearest unit of each industry. a. agriculture = 74, steel = 98 b. agriculture = 170, steel = 169 c. agriculture = 169, steel = 170 d. agriculture = 71, steel = 98 e. agriculture = 74, steel = 96 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 208. One sector of an economy consists of a mining industry and a manufacturing industry, with technology

matrix A.

Surpluses of 34 units of mining output and 276 units of manufacturing output are desired. Find the gross production of each industry. a. mining = 830, manufacturing = 525 b. mining = 305, manufacturing = 525 c. mining = 300, manufacturing = 830 d. mining = 830, manufacturing = 520 e. mining = 305, manufacturing = 520 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM Copyright Cengage Learning. Powered by Cognero.

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209. An underdeveloped country has an agricultural industry and a manufacturing industry, with technology

matrix A.

Surpluses of 8 units of agricultural products and 620 units of manufactured products are desired. Find the gross production of each industry. a. agriculture = 160, manufacturing = 1220 b. agriculture = 1360, manufacturing = 1220 c. agriculture = 160, manufacturing = 1200 d. agriculture = 1360, manufacturing = 1200 e. agriculture = 170, manufacturing = 1220 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 210. A simple economy has an electronic components industry and a computers industry. Each unit of electronic

components output requires inputs of 0.5 unit of electronic components and 0.2 unit of computers. Each unit of computer industry output requires inputs of 0.7 unit of electronic components and 0.1 unit of computers. Write the technology matrix for this simple economy. (E, electronics components industry; C, computer industry) a.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 211. A simple economy has an electronic components industry and a computers industry. Each unit of electronic

components output requires inputs of 0.3 unit of electronic components and 0.6 unit of computers. Each unit of computer industry output requires inputs of 0.2 unit of electronic components and 0.2 unit of computers. If surpluses of 650 units of electronic components and 16 units of computers are desired, find the gross production to the nearest unit of each industry. a. electronics = 1189, computers = 887 b. electronics = 1189, computers = 912 c. electronics = 1226, computers = 2113 d. electronics = 1226, computers = 887 e. electronics = 2113, computers = 2101 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 212. An economy has an agricultural industry and a textile industry. Each unit of agricultural output requires

0.4 unit of agricultural input and 0.1 unit of textiles input. Each unit of textiles output requires 0.1 unit of agricultural input and 0.2 unit of textiles input. Write the technology matrix for this economy. (A, agricultural industry; T, textile industry) a.

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unit of agricultural input and 0.1 unit of textiles input. Each unit of textiles output requires 0.1 unit of agricultural input and 0.2 unit of textiles input. If surpluses of 7 units of agricultural products and 132 units of textiles are desired, find the gross production of each industry. a. agriculture = 50, textiles = 160 b. agriculture = 40, textiles = 170 c. agriculture = 50, textiles = 170 d. agriculture = 210, textiles = 170 e. agriculture = 50, textiles = 210 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 214. An economy has a manufacturing industry and a banking industry. Each unit of manufacturing output

requires inputs of 0.4 unit of manufacturing and 0.1 unit of banking. Each unit of banking output requires inputs of 0.3 unit each of manufacturing and banking. Write the technology matrix for this economy. (M, manufacturing industry; B, banking industry) a.

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requires inputs of 0.5 unit of manufacturing and 0.2 unit of banking. Each unit of banking output requires inputs of 0.3 unit each of manufacturing and banking. If surpluses of 144 units of manufacturing and 105 units of banking are desired, find the gross production of each industry. a. manufacturing =456, banking =280 b. manufacturing = 420, banking = 320 c. manufacturing = 410, banking = 330 d. manufacturing = 410, banking = 320 e. manufacturing = 420, banking = 330 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 216. Suppose the development department of a firm charges 10% of its total monthly costs to the promotional

department, and the promotional department charges 5% of its total monthly costs to the development department. The direct costs of the development department are $28,400, and the direct costs of the promotional department are $9,100. The solution to the matrix equation matrix

or the column

gives the total costs for each department. Note that this equation can be written in the form

or this (micro)economy.

, which is the form for an open economy. Find the total costs for each department in

a. development = 30,000, promotional = 11,000 b. development = 30,000, promotional = 12,000 Copyright Cengage Learning. Powered by Cognero.

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c. development = 29,000, promotional = 12,000 d. development = 41,000, promotional = 12,000 e. development = 29,000, promotional = 11,000 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 217. Suppose the shipping department of a firm charges 20% of its total monthly costs to the printing

department and that the printing department charges 10% of its total monthly costs to the shipping department. If the direct costs of the shipping department are $15,500 and the direct costs of the printing department are $11,600, find the total costs for each department. Round your answer to the nearest hundredths. a. shipping = 18,000, printing = 14,000 b. shipping = 17,000, printing = 16,000 c. shipping = 18,000, printing = 15,000 d. shipping = 14,000, printing = 18,000 e. shipping = 17,000, printing = 15,000 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 218. The sales department of an auto dealership charges 10% of its total monthly costs to the service

department, and the service department charges 20% of its total monthly costs to the sales department. During a given month, the direct costs are $87,100 for sales and $49,600 for service. Find the total costs of each department. a. sales = 69,500, service = 59,000 b. sales = 99,000, service = 59,500 c. sales = 87,100, service = 49,600 d. sales = 98,000, service = 59,000 e. sales = 99,000, service = 59,000 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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219. Suppose that an economy can be represented by the technology matrix below. If surpluses of 181 units of

fishing output, 93 units of agricultural goods, and 40 units of mining goods are desired, find the gross production to the nearest unit of each industry.

a. fishing = 635, agriculture = 783, mining = 563 b. fishing = 629, agriculture = 783, mining = 570 c. fishing = 635, agriculture = 783, mining = 570 d. fishing = 635, agriculture = 795, mining = 570 e. fishing = 629, agriculture = 795, mining = 563 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 220. Suppose that the economy of a small nation has an electronics industry, a steel industry, and an auto

industry, with the following technology matrix.

If the nation wishes to have surpluses of 107 units of electronics production, 273 units of steel production, and 200 automobiles, find the gross production of each industry. a. electronics = 1252, steel = 1271, autos = 726 b. electronics = 1266, steel = 1271, autos = 722 c. electronics = 1252, steel = 1262, autos = 726 d. electronics = 1252, steel = 1262, autos = 722 e. electronics = 1266, steel = 1271, autos = 726 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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221. Suppose an economy has the technology matrix below. If surpluses of 524 units of electronics, 34 units of

steel, and 140 autos are desired, find the gross production for each industry.

a. electronics = 2152, steel = 992, autos = 692 b. electronics = 2152, steel = 2200, autos = 692 c. electronics = 2152, steel = 692, autos = 992 d. electronics = 2200, steel = 992, autos = 692 e. electronics = 2200, steel = 692, autos = 1000 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 222. Suppose that an economy has the technology matrix below. If surpluses of 14 units of manufactured goods

and 104 units of agricultural goods are desired, find the gross production of each industry.

a. service = 55, manufacturing = 120, agriculture = 180 b. service = 55, manufacturing = 120, agriculture = 190 c. service = 50, manufacturing = 120, agriculture = 180 d. service = 50, manufacturing = 150, agriculture = 180 e. service = 55, manufacturing = 150, agriculture = 190 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 223. Suppose the technology matrix for a closed model of a simple economy is given by Copyright Cengage Learning. Powered by Cognero.

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Find the gross productions for the industries. a.

products =

households, machinery =

households

products =

households, machinery =

households

products =

households, machinery =

households

products =

households, machinery =

households

products =

households, machinery =

households

b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 224. Suppose the technology matrix for a closed model of a simple economy is given by matrix A. Find the

gross productions for the industries.

government =

households, industry =

households

government =

households, industry =

households

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government =

households, industry =

households

government =

households, industry =

households

government =

households, industry =

households

d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 225. Suppose the technology matrix for a closed model of an economy is given by matrix A. Find the gross

productions for the industries.

shipping =

households, manufacturing =

households

shipping =

households, manufacturing =

households

shipping =

households, manufacturing =

households

shipping =

households, manufacturing =

households

shipping =

households, manufacturing =

households

b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 226. A closed model for an economy has a manufacturing industry, utilities industry, and households industry. Copyright Cengage Learning. Powered by Cognero.

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Each unit of manufacturing output uses 0.6 unit of manufacturing input, 0.4 unit of utilities input, and 0.1 unit of households input. Each unit of utilities output requires 0.3 unit of manufacturing input, 0.5 unit of utilities input, and 0.1 unit of households input. Each unit of household output requires 0.2 unit each of manufacturing and utilities input and 0.4 unit of households input. Write the augmented matrix for this closed model of the economy. a.

Each unit of manufacturing output uses 0.5 unit of manufacturing input, 0.4 unit of utilities input, and 0.1 unit of households input. Each unit of utilities output requires 0.4 unit of manufacturing input, 0.5 unit of utilities input, and 0.1 unit of households input. Each unit of household output requires 0.3 unit each of manufacturing and utilities input and 0.4 unit of households input. Find the gross production for each industry. a. manufacturing = 5 households, utilities = 6 households b. manufacturing = 4 households, utilities = 4 households c. manufacturing = households, utilities = households d. manufacturing = 2 households, utilities = 2 households e. manufacturing = 3 households, utilities = 3 households ANSWER: POINTS:

e 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 228. A closed model for an economy identifies government, the profit sector, the nonprofit sector, and

households as its industries. Each unit of government output requires 0.4 unit of government input, 0.2 unit of profit sector input, 0.2 unit of nonprofit sector input, and 0.3 unit of households input. Each unit of profit sector output requires 0.2 unit of government input, 0.4 unit of profit sector input, 0.2 unit of nonprofit sector input, and 0.4 unit of households input. Each unit of nonprofit sector output requires 0.2 unit of government input, 0.2 unit of profit sector input, 0.2 unit of nonprofit sector input, and 0.6 unit of households input. Each unit of households output requires 0.05 unit of government input, 0.2 unit of profit sector input, 0.2 unit of nonprofit sector input, and 0.25 unit of households input. Write the augmented matrix for this closed model of the economy. a.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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229. A closed model for an economy identifies government, the profit sector, the nonprofit sector, and

households as its industries. Each unit of government output requires profit sector input, output requires and

unit of nonprofit sector input, and unit of government input,

unit of government input,

unit of households input. Each unit of profit sector

unit of profit sector input,

unit of households input. Each unit of nonprofit sector output requires unit of profit sector input,

households output requires sector input, and

unit of nonprofit sector input, and unit of government input,

unit of

unit of nonprofit sector input, unit of government input,

unit of households input. Each unit of

unit of profit sector input,

unit of nonprofit

unit of households input. Find the gross production for each industry.

government =

households, profit =

households, nonprofit =

households

government =

households, profit =

households, nonprofit =

households

government =

households, profit =

households, nonprofit =

households

government =

households, profit =

households, nonprofit =

households

government =

households, profit =

households, nonprofit =

households

b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 230. Card tables are made by joining 4 legs and a top using 4 bolts. The legs are each made from a steel rod. The

top has a frame made from 4 steel rods. A cover and four special clamps that brace the top and hold the legs are joined to the frame using a total of 8 bolts. The parts-listing matrix for the card table assembly is given by

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If an order is received for 10 card tables, 4 legs, 1 top, 1 cover, 7 clamps, and 13 bolts, how many of each primary assembly item are required to fill the order? a. 88 rods, 12 covers, 51 clamps, 141 bolts b. 88 rods, 88 covers, 141 clamps, 141 bolts c. 51 rods, 141 covers, 51 clamps, 141 bolts d. 88 rods, 12 covers, 51 clamps, 141 bolts e. 141 rods, 12 covers, 88 clamps, 88 bolts ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM 231. A log carrier has a body made from a 4-ft length of reinforced cloth having a patch on each side and a

dowel slid through each end to act as handles. The parts-listing matrix for the log carrier is given by

How many of each primary assembly items are required to fill an order for 500 log carriers and 30 handles? a. 2060 handles, 970 cloths, 500 patches b. 1030 handles, 2060 cloths, 1000 patches c. 1030 handles, 500 cloths, 500 patches d. 1030 handles, 970 cloths, 2060 patches e. 1030 handles, 500 cloths, 2060 patches ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:23 AM DATE MODIFIED: 11/16/2020 10:23 AM

1. Graph the inequality.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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2. Graph the inequality.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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3. The graph of the boundary equations for the system of inequalities is shown with that system. Locate the

solution region and find the corners.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM Copyright Cengage Learning. Powered by Cognero.

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4. The graph of the boundary equations for the system of inequalities is shown with that system. Locate the

solution region and find the corners.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM Copyright Cengage Learning. Powered by Cognero.

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5. Graph the solution of the system of inequalities.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 6. Graph the solution of the system of inequalities.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 7. Graph the solution of the system of inequalities.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 8. Graph the solution of the system of inequalities.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 9. Graph the solution of the system of inequalities.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 10. Graph the solution of the system of inequalities.

Page 520

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 11. The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model

requires 5 hours to assemble and 0.5 hour to paint, and the economy model requires 3 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 23 per day, and the maximum number of painting hours available is 11 per day. Let x represent the number of deluxe models and y represent the number of economy models. Write the system of inequalities that describes the constraints on the number of each type of wood chipper produced. a.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 12. The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model

requires 3 hours to assemble and 2 hour to paint, and the economy model requires 2 hours to assemble and 4 hour to paint. The maximum number of assembly hours available is 24 per day, and the maximum number of painting hours available is 19 per day. Let x represent the number of deluxe models and y represent the number of economy models. Graph the solution of the system of inequalities and find the corners of the solution region. a.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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13. An experiment that involves learning in animals requires placing white mice and rabbits into separate,

controlled environments, environment I and environment II. The maximum amount of time available in environment I is 200 minutes, and the maximum amount of time available in environment II is 400 minutes. The white mice must spend 14 minutes in environment I and 20 minutes in environment II, and the rabbits must spend 10 minutes in environment I and 25 minutes in environment II. Write a system of inequalities that describes the constraints on the number of each type of animal used in the experiment. Let x denote the number of white mice and y denote the number of rabbits. a.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 14. Suppose that an experiment that involves learning in animals requires placing white mice and rabbits into

separate, controlled environments, environment I and environment II. The maximum amount of time available Copyright Cengage Learning. Powered by Cognero.

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in environment I is 300 minutes, and the maximum amount of time available in environment II is 600 minutes. The white mice must spend 13 minutes in environment I and 35 minutes in environment II, and the rabbits must spend 40 minutes in environment I and 20 minutes in environment II. Let x represent number of white mice and y represent number of rabbits. Determine the system of inequalities that describes the constraints on the number of each type of animal used in the experiment. Then graph the solution of the system of inequalities. a.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 15. A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type

trimmer requires 4 hours to make, and the cordless model requires 5 hours. The company has only 800 work hours to use in manufacturing each day, and the packaging department can package only 300 trimmers per day. Let x represent the number of cord type models and y represent the number of cordless models. Write the inequalities that describe the constraints on the number of each type of hedge trimmer produced. a.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 16. A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type

trimmer requires 5 hours to make, and the cordless model requires 1.5 hours. The company has only 800 work hours to use in manufacturing each day, and the packaging department can package only 300 trimmers per day. Let x represent the number of cord type models and y represent the number of cordless models. Graph the solution of the system of inequalities. a.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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17. Apex Motors manufactures luxury cars and sport utility vehicles. The most likely customers are high-

income men and women, and company managers want to initiate an advertising campaign targeting these groups. They plan to run 1-minute spots on business/investment programs, where they can reach 7 million women and 4 million men from their target groups. They also plan 1-minute spots during sporting events, where they can reach 2 million women and 12 million men from their target groups. Apex feels that the ads must reach at least 40 million women and at least 24 million men who are prospective customers. Let x represent the number of minutes of business/investment program commercials and y represent the number of minutes of sporting events commercials. Write the inequalities that describe the constraints on the number of each type of 1-minute spots needed to reach these target groups. a.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 18. Apex Motors manufactures luxury cars and sport utility vehicles. The most likely customers are high-

income men and women, and company managers want to initiate an advertising campaign targeting these groups. They plan to run 1-minute spots on business/investment programs, where they can reach 7 million women and 4 million men from their target groups. They also plan 1-minute spots during sporting events, where they can reach 2 million women and 12 million men from their target groups. Apex feels that the ads must reach at least 30 million women and at least 20 million men who are prospective customers. Let x represent the number of minutes of business/investment program commercials and y represent the number of minutes of sporting events commercials. Graph the region determined by the constraint inequalities. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 19. The Video Star Company makes two different models of DVD players, which are assembled on two

different assembly lines. Line 1 can assemble 32 units of the Star model and 42 units of the Prostar model per hour, and Line 2 can assemble 150 units of the Star model and 40 units of the Prostar model per hour. The company needs to produce at least 260 units of the Star model and 215 units of the Prostar model to fill an order. Let x represent the number of assembly hours for Line 1 and y represent the number of assembly hours for Line 2. Write the inequalities that describe the production constraints on the number of each type of DVD player needed to fill the order. a.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 20. The Video Star Company makes two different models of DVD players, which are assembled on two

different assembly lines. Line 1 can assemble 32 units of the Star model and 48 units of the Prostar model per hour, and Line 2 can assemble 150 units of the Star model and 40 units of the Prostar model per hour. The company needs to produce at least 270 units of the Star model and 225 units of the Prostar model to fill an order. Let x represent the number of assembly hours for Line 1 and y represent the number of assembly hours for Line 2. Graph the region determined by the constraint inequalities. a.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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21. Suppose that in a hospital ward, the patients can be grouped into two general categories depending on their

condition and the amount of solid foods they require in their diet. A combination of two diets is used for solid foods because they supply essential nutrients for recovery. The table below summarizes the patient groups and their minimum daily requirements. Let x represent number of servings of Diet A and y represent number of servings of Diet B. Write the inequalities that describe how many servings of each diet are needed to provide the nutritional requirements.

Group 1 Group 2

Diet A 16 oz per serving 8 oz per serving

Diet B 1 oz per serving 1 oz per serving

Daily Requirement 23 oz 10 oz

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 22. Suppose that in a hospital ward, the patients can be grouped into two general categories depending on their

condition and the amount of solid foods they require in their diet. A combination of two diets is used for solid foods because they supply essential nutrients for recovery. The table below summarizes the patient groups and their minimum daily requirements. Let x represent the number of servings of A and y represent the number of servings of B. Determine the inequalities that describe how many servings of each diet are needed to provide the nutritional requirements and then graph the region determined by these constraint inequalities. Copyright Cengage Learning. Powered by Cognero.

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Group 1 Group 2

Diet A 12 oz per serving 6 oz per serving

Diet B 1 oz per serving 1 oz per serving

Daily Requirement 23 oz 13 oz

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 23. A sausage company makes two different kinds of hot dogs, regular and beef. Each pound of beef hot dogs

requires 0.76 lb of beef and 0.24 lb of spices, and each pound of regular hot dogs requires 0.18 lb of beef, 0.33 lb of pork, and 0.2 lb of spices. Suppliers can deliver at most 1020 lb of beef, at most 600 lb of pork, and at least 500 lb of spices. Let x represent the number of pounds of regular meat and y represent the number of pounds of beef. Write the inequalities that describe how many pounds of each type of hot dog can be produced. a.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 24. A sausage company makes two different kinds of hot dogs, regular and all beef. Each pound of all-beef hot

dogs requires 0.78 lb of beef and 0.22 lb of spices, and each pound of regular hot dogs requires 0.18 lb of beef, 0.3 lb of pork, and 0.24 lb of spices. Suppliers can deliver at most 1032 lb of beef, at most 552 lb of pork, and at least 400 lb of spices. Let x represent the number of pounds of regular meat and y represent the number of pounds of all beef. Graph the region determined by the constraint inequalities. a.

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Page 539

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 25. A cereal manufacturer makes two different kinds of cereal, Senior Citizen’s Feast and Kids Go. Each pound

of Senior Citizen’s Feast requires 0.8 lb of wheat and 0.2 lb of vitamin-enriched syrup, and each pound of Kids Go requires 0.4 lb of wheat, 0.2 lb of sugar, and 0.2 lb of vitamin-enriched syrup. Suppliers can deliver at most 2800 lb of wheat, at most 800 lb of sugar, and at least 1000 lb of the vitamin-enriched syrup. Let x represent the number of pounds of Senior Citizen's cereal and y represent the number of pounds of Kids Go cereal. Write the inequalities that describe how many pounds of each type of cereal can be made. a.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 26. A cereal manufacturer makes two different kinds of cereal, Senior Citizen’s Feast and Kids Go. Each pound

of Senior Citizen’s Feast requires 0.8 lb of wheat and 0.2 lb of vitamin-enriched syrup, and each pound of Kids Go requires 0.4 lb of wheat, 0.2 lb of sugar, and 0.2 lb of vitamin-enriched syrup. Suppliers can deliver at most 2960 lb of wheat, at most 750 lb of sugar, and at least 1100 lb of the vitamin-enriched syrup. Let x represent the number of pounds of Senior Citizen's cereal and y represent the number of pounds of Kids Go cereal. Graph the region determined by the constraint inequalities. a.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 27. Use the given feasible region determined by the constraint inequalities to find the maximum and minimum

of the objective function

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a. maximum value of C: 80 at

; minimum value of C: 45 at

b. maximum value of C: 80 at

; minimum value of C: 35 at

c. maximum value of C: 60 at

; minimum value of C: 0 at

d. maximum value of C: 80 at

; minimum value of C: 0 at

e. maximum value of C: 60 at

; minimum value of C: 45 at

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 28. Use the given feasible region determined by the constraint inequalities to find the maximum and minimum

of the given objective function (if they exist).

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a. max: 154, min: 54 b. max: 76, min: 21 c. max: 21, min: 78 d. max: 78, min: 21 e. do not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 29. The graph of the feasible region is shown. Locate the corners of the feasible region in order to find the

maximum of the given objective function (if it exists).

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a. 210 b. 240 c. 105 d. 150 e. does not exist ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 30. The graph of the feasible region is shown. Locate the corners of the feasible region in order to find the

minimum of the given objective function (if it exists).

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a. 100 b. 90 c. 280 d. 175 e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 31. Solve the following linear programming problem.

Maximize

subject to

a. 27 b. 18 c. 4 Copyright Cengage Learning. Powered by Cognero.

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d. 20 e. 19 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 32. Solve the following linear programming problem.

Maximize

subject to

a. 20 b. 72 c. 24 d. 96 e. 80 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 33. Solve the following linear programming problem.

Minimize

subject to

a. 630 b. 327 c. 285 d. 450 Copyright Cengage Learning. Powered by Cognero.

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e. 315 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:32 AM DATE MODIFIED: 11/16/2020 10:32 AM 34. Solve the following linear programming problem.

Minimize

subject to

a. 1,350 b. 525 c. 2,430 d. 885 e. 810 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 35. Solve the following linear programming problem.

Maximize

subject to

a. 8 b. 12 c. 10 d. 5 e. 42 ANSWER: POINTS:

e 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 36. Solve the following linear programming problem.

Minimize

subject to

a. 640 b. 16 c. 440 d. 8 e. 336 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 37. The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model

requires 3 hours to assemble and 0.5 hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 24 per day, and the maximum number of painting hours available is 8 per day. If the profit on the deluxe model is $18 per unit and the profit on the economy model is $14 per unit, find the maximum profit. Round your answer to the nearest dollar if necessary. a. $112 b. $164 c. $144 d. $256 e. $156 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM Copyright Cengage Learning. Powered by Cognero.

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38. A candidate wishes to use a combination of radio and television advertisements in her campaign. Assume

that each 1-minute spot on television reaches to 0.0795 million people and that each 1-minute spot on radio reaches to 0.003 million. The candidate feels she must reach at least 6.435 million people, and she must buy total of at least 75 minutes of advertisements. How many minutes of each medium should be used to minimize costs if television costs $450 per minute and radio costs $75 per minute? Round your answer to nearest integer if necessary. a. Minimum cost is $36,425 with 0 minutes of TV time and 81 minutes of radio time. b. Minimum cost is $36,425 with 81 minutes of TV time and 0 minutes of radio time. c. Minimum cost is $7,946 with 5 minutes of TV time and 76 minutes of radio time. d. Minimum cost is $7,946 with 76 minutes of TV time and 5 minutes of radio time. e. Minimum cost is $6,446 with 0 minutes of TV time and 86 minutes of radio time. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 39. At one of its factories, a jeans manufacturer makes two styles: #891 and #917. Each pair of style-891 takes

Page 551

a. $210,000.00 b. $393,750.00 c. $180,000.00 d. $371,272.50 e. $322,972.97 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 41. A farm co-op has 6,008 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons

of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,500 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $75 for corn and $45 for soybeans. Round your answer to the nearest cent if necessary. a. $382,740.00 b. $236,250.00 c. $393,750.00 d. $202,500.00 e. $387,502.50 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 42. A farm co-op has over 6,000 acres available to plant with corn and soybeans. The farm co-op's maximum

profit for planting 6,000 acres is $315,200 and the maximum profit for 6,008 acres is $315,280. What is the profit value of each additional acre of land? This value is called the shadow price of an acre of land. Round your answer to the nearest cent if necessary. a. $80.00 b. $40.00 c. $8.89 d. $11.43 e. $10.00 ANSWER: POINTS: QUESTION TYPE:

e 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 43. A farm co-op has 6,000 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons

of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,501 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $80 for corn and $55 for soybeans. Round your answer to the nearest cent if necessary. a. $288,750.00 b. $420,000.00 c. $423,754.17 d. $247,506.11 e. $386,245.83 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 44. A farm co-op has 6,000 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons

of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,508 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $75 for corn and $50 for soybeans. Round your answer to the nearest cent if necessary. a. $262,500.00 b. $393,783.33 c. $400,044.25 d. $356,216.67 e. $375,000.00 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 45. A farm co-op has over 40,500 gallons of fertilizer/herbicide available to use when planting corn and

soybeans. The farm co-op's maximum profit for using 40,500 gallons of fertilizer/herbicide is $315,007 and the maximum profit for 40,508 gallons is $315,030. What is the profit value of each additional gallon of fertilizer/herbicide (that is, the shadow price of a gallon of fertilizer/herbicide)? Round your answer to the Copyright Cengage Learning. Powered by Cognero.

Page 553

nearest cent if necessary. a. $3.29 b. $2.88 c. $2.56 d. $23.00 e. $11.50 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 46. In a laboratory experiment, two separate foods are given to experimental animals. Each food contains

essential ingredients, A and B, for which the animals have a minimum requirement, and each food also has an ingredient C, which can be harmful to the animals. The table below summarizes this information.

Ingredient A Ingredient B Ingredient C

Food 1 10 units/g 7 units/g 3 units/g

Food 2 5 units/g 11 units/g 1 unit/g

Required 50 units 50 units

Determine how many grams of foods 1 and 2 should be given in order to satisfy the requirements for A and B while minimizing the amount of ingredient C ingested. Also determine the minimum amount of ingredient C ingested. Round your answer to one decimal place if necessary. a. 10 grams of food 1 and 0 gram of food 2 satisfy the minimum requirements for A and B while

minimizing the amount of ingredient C to 10 grams. b. 0 gram of food 1 and 10 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 10 grams. c. 11 grams of food 1 and 0 gram of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 33 grams. d. 1 gram of food 1 and 10 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 13 grams. e. 2 grams of food 1 and 10 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 16 grams. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 47. The Janie Gioffre Drapery Company makes three types of draperies at two different locations. At location I, Copyright Cengage Learning. Powered by Cognero.

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it can make 10 pairs of deluxe drapes, 20 pairs of better drapes, and 13 pairs of standard drapes per day. At location II, it can make 20 pairs of deluxe drapes, 50 pairs of better drapes, and 6 pairs of standard drapes per day. The company has orders for 2,000 pairs of deluxe drapes, 4,200 pairs of better drapes, and 1,200 pairs of standard drapes. If the daily costs are $600 per day at location I and $825 per day at location II, how many days should Janie schedule at each location in order to fill the orders at minimum cost? Find the minimum cost. Round your answers to the nearest whole number if necessary. a. Minimum cost of $165,000 occurs with 0 days at location I and 200 days at location II. b. Minimum cost of $120,000 occurs with 200 days at location I and 0 days at location II. c. Minimum cost of $91,500 occurs with 70 days at location I and 60 days at location II. d. Minimum cost of $112,500 occurs with 160 days at location I and 20 days at location II. e. Minimum cost of $93,750 occurs with 60 days at location I and 70 days at location II. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 48. Two foods contain only proteins, carbohydrates, and fats. Food A costs $0.70 per pound and contains 30%

protein and 50% carbohydrates. Food B costs $1.05 per pound and contains 20% protein and 75% carbohydrates. What combination of these two foods provides at least 1 pound of protein, 2.5 pounds of carbohydrates, and 0.25 pounds of fat at the lowest cost? Round your answer to the nearest cent. a. Minimum cost of $3.50 occurs on the line between (2,2) and (5,0). b. Minimum cost of $5.25 occurs with 0 pounds of food A and 5 pounds of food B. c. Minimum cost of $4.55 occurs on the line between (2,2) and (5,0). d. Minimum cost of $2.80 occurs with 2 pounds of food A and 2 pounds of food B. e. Minimum cost of $6.65 occurs with 5 pounds of food A and 3 pounds of food B. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 49. A sausage company makes two different kinds of hot dogs, regular and all beef. Each pound of all-beef hot

dogs requires 0.75 lb of beef and 0.2 lb of spices, and each pound of regular hot dogs requires 0.18 lb of beef, 0.3 lb of pork, and 0.2 lb of spices. Suppliers can deliver at most 1,020 lb of beef, at most 600 lb of pork, and at least 500 lb of spices. If the profit is $0.90 on each pound of all-beef hot dogs and $0.40 on each pound of regular hot dogs, how many pounds of each should be produced to obtain maximum profit? What is the maximum profit? Round your profit to the nearest cent, another answers - to the nearest whole number. a. Maximum profit of $1250.00 with 2000 lbs of regular and 500 lbs of all beef. Copyright Cengage Learning. Powered by Cognero.

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b. Maximum profit of $1592.00 with 2000 lbs of regular and 880 lbs of all beef. c. Maximum profit of $2152.00 with 880 lbs of regular and 2000 lbs of all beef. d. Maximum profit of $1500.00 with 1500 lbs of regular and 1000 lbs of all beef. e. Maximum profit of $1750.00 with 1000 lbs of regular and 1500 lbs of all beef. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 50. A cereal manufacturer makes two different kinds of cereal, Senior Citizen’s Feast and Kids Go. Each pound

of Senior Citizen’s Feast requires 0.6 lb of wheat and 0.2 lb of vitamin-enriched syrup, and each pound of Kids Go requires 0.4 lb of wheat, 0.2 lb of sugar, and 0.2 lb of vitamin-enriched syrup. Suppliers can deliver at most 2,800 lb of wheat, at most 800 lb of sugar, and at least 1,000 lb of the vitamin-enriched syrup. If the profit is $0.80 on each pound of Senior Citizen’s Feast and $1.00 on each pound of Kids Go, find the number of pounds of each cereal that should be produced to obtain maximum profit. Find the maximum profit. Round your profit to the nearest cent, another answers - to the nearest whole number. a. Maximum profit of $4200.00 when 4000 lbs of Senior Citizen's Feast and 1000 lbs of Kids Go are

produced. b. Maximum profit of $4800.00 when 1000 lbs of Senior Citizen's Feast and 4000 lbs of Kids Go are produced. c. Maximum profit of $5200.00 when 4000 lbs of Senior Citizen's Feast and 2000 lbs of Kids Go are produced. d. Maximum profit of $6000.00 when 2000 lbs of Senior Citizen's Feast and 4000 lbs of Kids Go are produced. e. Maximum profit of $5600.00 when 2000 lbs of Senior Citizen's Feast and 4000 lbs of Kids Go are produced. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 51. A contractor builds two types of homes. The Carolina requires one lot, $160,000 capital, and 160 worker-

days of labor, whereas the Savannah requires one lot, $240,000 capital, and 160 worker-days of labor. The contractor owns 300 lots and has $48,000,000 available capital and 43,200 worker-days of labor. The profit on the Carolina is $40,500 and the profit on the Savannah is $50,500. Use the corner points of the feasible region to find how many of each type of home should be built to maximize profit. Find the maximum possible profit. Round your profit to the nearest dollar, another answers - to the nearest whole number. a. Maximum profit of $13,035,000 obtained by building 60 Carolina homes and 210 Savannah homes. b. Maximum profit of $12,150,000 obtained by building 300 Carolina homes and 0 Savannah homes. Copyright Cengage Learning. Powered by Cognero.

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c. Maximum profit of $11,535,000 obtained by building 210 Carolina homes and 60 Savannah homes. d. Maximum profit of $21,035,000 obtained by building 270 Carolina homes and 200 Savannah homes. e. Maximum profit of $18,200,000 obtained by building 200 Carolina homes and 200 Savannah homes. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 52. Convert the constraint inequalities a.

to equations containing slack variables.

and

b. c.

and

and and

and

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 53. Set up the simplex matrix used to solve the linear programming problem. Assume all variables are

nonnegative. Maximize

subject to

Page 557

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 54. A simplex matrix for a standard maximization problem is given. Write the values of all the variables (use

x1, x2, x3 ... and s1, s2, s3 ...) and of the objective function f.

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 55. A simplex matrix for a standard maximization problem is given. Indicate whether or not the solution shown

is complete (optimal). If the solution is not complete, find the next pivot or indicate that no solution exists.

a. next pivot: 5 in R C

3 1

b. next pivot: –2 in R4C

c. next pivot: 2 in R1C

d. optimal solution e. no solution ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 56. A simplex matrix for a standard maximization problem is given. Write the values of all the variables (use x1,

x2, x3 ... and s1, s2, s3 ...) and of the objective function f.

a. b. c. d. e. ANSWER:

Page 559

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 57. A simplex matrix for a standard maximization problem is given. Indicate whether or not the solution shown

is complete (optimal). If the solution is not complete, find the next pivot or indicate that no solution exists.

a. next pivot: 5 in R4C3 b. next pivot: –3 in R4C5 c. next pivot: 7 in R C

2 5

d. optimal solution e. no solution ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 58. A simplex matrix for a standard maximization problem is given. Write the values of all the variables

(use x1, x2, x3 ... and s1, s2, s3 ...) and of the objective function f.

a. b. c. d. e. ANSWER: POINTS:

d 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 59. A simplex matrix for a standard maximization problem is given. Indicate whether or not the solution shown

is complete (optimal). If the solution is not complete, find the next pivot or indicate that no solution exists.

a. next pivot: –15 in R4C3 b. next pivot: –6 in R C

1 3

c. next pivot: 5 in R C

2 2

d. optimal solution e. no solution ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 60. A simplex matrix is given. In this case the solution is complete, so identify the maximum value of f and a set

of values of the variables that gives this maximum value. If multiple solutions may exist, indicate this and locate the next pivot.

a. The maximum value of f is 165 when

and

b. The maximum value of f is 165 when

and

c. The maximum value of f is 165 when

and

d. The maximum value of f is 165 when

. Since multiple solutions are possible, pivot on

1 in R4C4. e. The maximum value of f is 165 when

2 in R3C5. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 61. A simplex matrix is given. In this case, the solution is complete, so identify the maximum value of f and a

set of values for the variables that gives this maximum value. If multiple solutions may exist, indicate this and locate the next pivot.

a. The maximum value of f is 82 when

and

b. The maximum value of f is 82 when

and

c. The maximum value of f is 82 when

. Since multiple solutions are possible, pivot on

. .

2 in R1C3. d. The maximum value of f is 82 when

1 in R1C4. e. The maximum value of f is 82 when

1 in R2C4. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 62. Use the simplex method to maximize the given function. Assume all variables are nonnegative.

Maximize

a. maximum; 49 at

subject to

b. maximum; 119 at c. maximum; 70 at d. maximum; 300 at

, , ,

Page 562

e. maximum; 10 at

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 63. Use the simplex method to maximize the given function. Assume all variables are nonnegative.

Maximize

subject to

a. maximum: 38 at

b. maximum: 34 at

c. maximum: 40 at

d. maximum: 26 at

e. maximum: 50 at

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 64. Use the simplex method to maximize the given function. Assume all variables are nonnegative.

Maximize

subject to

a. maximum: 116 at

b. maximum: 236 at

c. maximum: 264 at

d. maximum: 32 at

e. maximum: 248 at ANSWER:

, ,

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 65. Use the simplex method to maximize the given function. Assume all variables are nonnegative.

Maximize

subject to

a. maximum: 1,337 at b. maximum: 939 at c. maximum: 1,750 at d. maximum: 2,314 at e. maximum: 1,935 at ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 66. The simplex matrix shown below indicates that an optimal solution has been found (

when

) but that a second solution is possible. Find the second solution.

a. The maximum is 90 at

b. The maximum is 90 at c. The maximum is 90 at

, ,

d. The maximum is 90 at

e. The maximum is 90 at

ANSWER: POINTS: QUESTION TYPE:

e 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 67. Use the simplex method to maximize the function (if possible) subject to the given constraints. If there is no

solution, indicate this; if multiple solutions exist, give one solution. Maximize

subject to

a. maximum: 360 at

b. maximum: 264 at

c. maximum: 165 at

d. maximum: 264 at

e. no solution ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 68. Use the simplex method to maximize the function (if possible) subject to the given constraints. If there is no

solution, indicate this; if multiple solutions exist, give one solution. Maximize

subject to

a. maximum: 56 at

b. maximum: 89 at

c. maximum: 82 at

d. maximum: 60 at

e. no solution ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM Copyright Cengage Learning. Powered by Cognero.

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69. At one of its factories, a jeans manufacturer makes two styles: #891 and #917. Each pair of style-891 takes

10 minutes to cut out and 20 minutes to assemble and finish. Each pair of style-917 takes 10 minutes to cut out and 30 minutes to assemble and finish. The plant has enough workers to provide at most 7,500 minutes per day for cutting and at most 19,500 minutes per day for assembly and finishing. The profit on each pair of style-891 is $5.00 and the profit on each pair of style-917 is $6.50. How many pairs of each style should be produced per day to obtain maximum profit? Find the maximum daily profit. Round your profit to the nearest cent and anothet answers - to the nearest whole number. a. 350 pairs of style #891 and 400 pairs of style #917 for maximum profit of $4,350.00 b. 300 pairs of style #891 and 450 pairs of style #917 for maximum profit of $4,425.00 c. 299 pairs of style #891 and 399 pairs of style #917 for maximum profit of $4,088.50 d. 225 pairs of style #891 and 375 pairs of style #917 for maximum profit of $3,562.50 e. 310 pairs of style #891 and 300 pairs of style #917 for maximum profit of $3,500.00 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 70. A car rental agency has a budget of $1.8 million to purchase at most 100 new cars. The agency will purchase

either compact cars at $15,000 each or luxury cars at $30,000 each. From past rental patterns, the agency decides to purchase at most 50 luxury cars and expects an annual profit of $9,500 per compact car and $11,500 per luxury car. How many of each type of car should be purchased in order to obtain the maximum profit while satisfying budgetary and other planning constraints? Find the maximum profit. Round your profit to the nearest dollar and another answers - to the nearest whole number. a. 50 compact cars and 40 luxury cars for a maximum profit of $935,000 b. 70 compact cars and 50 luxury cars for a maximum profit of $1,240,000 c. 80 compact cars and 20 luxury cars for a maximum profit of $990,000 d. 75 compact cars and 30 luxury cars for a maximum profit of $1,057,500 e. 60 compact cars and 45 luxury cars for a maximum profit of $1,087,500 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 71. An ice cream company is planning its production for next week. Demand for premium and light ice creams

continues to outpace the company's production capacities. Two resources used in ice cream production are in short supply for next week. The mixing machine will be available for only 160 hours, and only 32000 gallons of high grade milk will be available. One hundred gallons of premium ice-cream requires 0.6 hour of mixing and 180 gallons of milk. One hundred gallons of light ice cream requires 1 hour of mixing and 140 gallons of milk. Copyright Cengage Learning. Powered by Cognero.

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If company earns a profit of $75 per hundred gallons on both of its ice creams, how many gallons of premium and of light ice cream should company produce next week to maximize profit? How much profit will result? Round your profit to the nearest cent and another answers - to the nearest whole number. a. The company should produce 100 gallons of premium and 100 gallons of light ice cream to

maximize the profit. The resultant maximum profit is $12,000.00 . b. The company should produce 100 gallons of premium and 100 gallons of light ice cream to maximize the profit. The resultant maximum profit is $15,000.00. c. The company should produce 100 gallons of premium and 100 gallons of light ice cream to maximize the profit. The resultant maximum profit is $13,333.33. d. The company should produce 75 gallons of premium and 75 gallons of light ice cream to maximize the profit. The resultant maximum profit is $11,250.00. e. The company should produce 125 gallons of premium and 125 gallons of light ice cream to maximize the profit. The resultant maximum profit is $18,750.00. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 72. Tire Corral has $6,000 available per month for advertising. Newspaper ads cost $100 each and can occur a

maximum of 21 times per month. Radio ads cost $300 each and can occur a maximum of 28 times per month at this price. Each newspaper ad reaches 6,750 men over 20 years of age, and each radio ad reaches 9,000 of these men. The company wants to maximize the number of ad exposures to this group. How many of each ad should it purchase? What is the maximum possible number of exposures? Round your answers to the nearest whole number if necessary. a. 21 newspaper ads and 28 radio ads for maximum exposure of 393,750 people b. 28 newspaper ads and 21 radio ads for maximum exposure of 378,000 people c. 13 newspaper ads and 21 radio ads for maximum exposure of 276,750 people d. 21 newspaper ads and 13 radio ads for maximum exposure of 258,750 people e. 20 newspaper ads and 15 radio ads for maximum exposure of 270,000 people ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 73. A medical clinic performs three types of medical tests that use the same machines. Tests A, B, and C take 15

minutes, 30 minutes, and 1 hour, respectively, with respective profits of $20, $90 and $100. The clinic has 4 machines available. One person is qualified to do test A, two to do test B, and one to do test C. If the clinic has a rush of customers for these tests, how many of each type should it schedule in an 8 - hour day to maximize its profit? Round your profit to the nearest dollar and another answers - to the nearest whole number. Copyright Cengage Learning. Powered by Cognero.

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a. 32 A tests; 32 B tests; 32 C tests; maximum profit $6,720 b. 32 A tests; 32 B tests; 16 C tests; maximum profit $6,720 c. 32 A tests; 32 B tests; 8 C tests; maximum profit $4,320 d. 32 A tests; 16 B tests; 8 C tests; maximum profit $2,880 e. 16 A tests; 16 B tests; 8 C tests; maximum profit $2,560 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 74. A woman has a building with 26 one-bedroom apartments, 40 two-bedroom apartments, and 60 three-

bedroom apartments available to rent to students. She has set the rent at $550 per month for the one-bedroom units, $900 per month for the two-bedroom units, and $1,150 per month for the three-bedroom units. She must rent to one student per bedroom, and zoning laws limit her to at most 250 students in this building. There are enough students available to rent all the apartments. How many of each type of apartment should she rent to maximize her monthly revenue? Find the maximum possible monthly revenue. Round your profit to the nearest dollar. a. Maximum revenue is $91,250 by renting 25 1 - BR, 35 2 - BR, and 40 3 - BR apartments. b. Maximum revenue is $95,350 by renting 22 1 - BR, 35 2 - BR, and 45 3 - BR apartments. c. Maximum revenue is $108,300 by renting 29 1 - BR, 40 2 - BR, and 49 3 - BR apartments. d. Maximum revenue is $100,300 by renting 30 1 - BR, 42 2 - BR, and 40 3 - BR apartments. e. Maximum revenue is $105,500 by renting 26 1 - BR, 40 2 - BR, and 48 3 - BR apartments. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 75. Patio Iron makes wrought iron outdoor dining tables, chairs, and stools. Each table uses 8 ft of a standard-

width wrought iron, 2 hours of labor for cutting and assembly, and 2 hours of labor for detail and finishing work. Each chair uses 6 ft of the wrought iron, 2 hours of cutting and assembly labor, and 1.5 hours of detail and finishing labor. Each stool uses 1 ft of the wrought iron, 1.5 hours for cutting and assembly, and 0.5 hour for detail and finishing work, and the daily demand for stools is at most 16. Each day Patio Iron has available at most 108 ft of wrought iron, 50 hours for cutting and assembly, and 40 hours for detail and finishing. If the profits are $60 for each dining table, $46 for each chair, and $36 for each stool, how many of each item should be made each day to maximize profit? Find the maximum profit. Round your profit to the nearest dollar and another answers - to the nearest whole number. a. 7 tables, 6 chairs, and 16 stools per day for a maximum daily profit of $1,272 b. 6 tables, 5 chairs, and 18 stools per day for a maximum daily profit of $1,238 Copyright Cengage Learning. Powered by Cognero.

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c. 5 tables, 4 chairs, and 18 stools per day for a maximum daily profit of $1,132 d. 8 tables, 5 chairs, and 16 stools per day for a maximum daily profit of $1,286 e. 8 tables, 6 chairs, and 15 stools per day for a maximum daily profit of $1,296 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 76. Form the matrix associated with the given minimization problem and find its transpose.

Minimize

subject to

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 77. Write the dual maximization problem. Be sure to rename the variables.

Minimize

subject to

a. Maximize

Constraints: Copyright Cengage Learning. Powered by Cognero.

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b. Maximize

Constraints: c. Maximize

Constraints: d. Maximize

Constraints: e. Maximize

Constraints: ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 78. Find the transpose of the matrix associated with the given minimization problem. y

Minimize

subject to

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 79. Write the dual maximization problem. Be sure to rename the variables.

Minimize

subject to

Page 570

a. Maximize

Constraints: b. Maximize

Constraints: c. Maximize

Constraints: d. Maximize

Constraints: e. Maximize

Constraints: ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 80. Suppose a primal minimization problem and its dual maximization problem were solved by using the

simplex method on the dual problem. The final simplex matrix is given. Find the solution of the minimization problem. Use y1, y2, y3 as the variables and g as the function.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM Copyright Cengage Learning. Powered by Cognero.

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81. Suppose a primal minimization problem and its dual maximization problem were solved by using the

simplex method on the dual problem. The final simplex matrix is given. Find the solution of the maximization problem. Use x1, x2, x3 as the variables and f as the function.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 82. Solve both the primal and dual problems with the simplex method. Use f to represent the dual objective

function. Minimize

subject to

a. Primal:

b. Primal:

Dual:

c. Primal:

d. Primal:

Dual:

e. Primal:

Dual: ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM Copyright Cengage Learning. Powered by Cognero.

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83. Solve the following minimization problem by solving the primal problem with the simplex method.

Minimize

subject to

a. Minimum:

b. Minimum:

c. Minimum:

d. Minimum:

e. Minimum:

Minimize

a. Maximize

subject to

c. Minimize

subject to

e. Maximize

subject to

b. Minimize

d. Maximize

subject to

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85. A minimization problem is given. Solve its dual problem with the simplex method.

Minimize

subject to

Minimize

subject to

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 87. Use the simplex method.

Minimize

subject to

Page 574

when

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 88. A primal maximization problem is given. Form the dual minimization problem.

Maximize

subject to

a. Minimize

subject

b. Minimize

subject

c. Minimize

subject

d. Minimize

subject

e. Minimize

subject

Page 575

89. A primal maximization problem is given. Solve both the primal and dual problems with the simplex method.

Maximize

subject to

a. Primal:

Primal:

Dual:

Dual: c. Primal:

Primal:

Dual:

Dual: e. Primal:

Dual: ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 90. Use technology to solve the problem.

Minimize

subject to

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91. Use Excel or another technology to solve the following optimization problem.

Minimize

subject to

a. Minimum is 4,350 at b. Minimum is 3,750 at c. Minimum is 3,600 at d. Minimum is 4,200 at e. Minimum is 5,950 at ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 92. CDF Appliances has assembly plants in Atlanta and Fort Worth where they produce a variety of kitchen

appliances, including a 12-cup coffee maker and a cappuccino machine. In each hour at the Atlanta plant, 160 of the 12-cup models and 200 of the cappuccino machines can be assembled and the hourly cost is $700. In each hour at the Fort Worth plant, 800 of the 12-cup models and 200 of the cappuccino machines can be assembled and the hourly cost is $2,170. CDF Appliances expects orders each week for at least 64,000 of the 12-cup models and at least 40,000 of the cappuccino machines. How many hours per week should each plant be operated in order to provide inventory for the orders at minimum cost? Find the minimum cost. a. Minimum of $135,100 per week when Atlanta plant is operated for 100 hours and the Fort Worth

plant is operated for 30 hours. b. Minimum of $170,800 per week when Atlanta plant is operated for 120 hours and the Fort Worth plant is operated for 40 hours. c. Minimum of $378,000 per week when Atlanta plant is operated for 75 hours and the Fort Worth plant is operated for 150 hours. d. Minimum of $341,250 per week when Atlanta plant is operated for 100 hours and the Fort Worth plant is operated for 125 hours. e. Minimum of $213,500 per week when Atlanta plant is operated for 150 hours and the Fort Worth plant is operated for 50 hours. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 10:33 AM 11/16/2020 10:33 AM

93. Nekita Corporation assembles cell phones and camera cell phones at two different factories within the same

city. During each hour at the first factory, 15 cell phones and 30 camera cell phones can be assembled at a cost of $105/hour. During each hour at the second factory, 10 cell phones and 60 camera cell phones can be assembled at a cost of $170/hour. If Nekita expects weekly orders for at least 15,000 cell phones and at least 45,000 camera cell phones, how many hours per week should it schedule at each location to be able to fill the orders at minimum cost? What is the minimum cost? a. Minimum of $142,500 when assembly is scheduled for 750 hours at the first factory and 375 hours at

the second factory. b. Minimum of $142,125 when assembly is scheduled for 625 hours at the first factory and 450 hours at the second factory. c. Minimum of $138,875 when assembly is scheduled for 675 hours at the first factory and 400 hours at the second factory. d. Minimum of $154,050 when assembly is scheduled for 520 hours at the first factory and 585 hours at the second factory. e. Minimum of $135,625 when assembly is scheduled for 725 hours at the first factory and 350 hours at the second factory. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 94. A pork producer is considering two types of feed that contain the necessary ingredients for the nutritional

requirements for fattening hogs. Brand X contains 9 units of ingredient A per pound and 15 units of ingredient B per pound, Brand Y contains 18 units of ingredient A per pound and 9 units of ingredient B per pound. The nutritional requirements for the hogs are at least 171 units of ingredient A and at least 222 units of ingredient B. If brand X costs 45 cents per pound and brand Y costs 75 cents per pound, how many pounds of each brand should be bought to satisfy the nutritional requirements at minimum cost? a. 14 lbs of brand X and 5 lbs of brand Y meets the needs at minimum cost. b. 13 lbs of brand X and 5 lbs of brand Y meets the needs at minimum cost. c. 14 lbs of brand X and 3 lbs of brand Y meets the needs at minimum cost. d. 3 lbs of brand X and 13 lbs of brand Y meets the needs at minimum cost. e. 13 lbs of brand X and 3 lbs of brand Y meets the needs at minimum cost. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM Copyright Cengage Learning. Powered by Cognero.

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95. Two factories produce three different types of kitchen appliances. The following table summarizes the

production capacities, the numbers of each type of appliance ordered, and the daily operating costs for the factories. How many days should each factory operate to fill the orders at minimum cost? Find the minimum cost.

Appliance 1 Appliance 2 Appliance 3 Daily cost

Factory 1 80/day 10/day 50/day $11,500

Factory 2 20/day 10/day 20/day $24,500

Number Ordered 1600 500 1900

a. Minimum cost of $230,000 using 20 days at Factory 1 and 0 days at Factory 2. b. Minimum cost of $575,000 using 50 days at Factory 1 and 0 days at Factory 2. c. Minimum cost of $1,095,000 using 10 days at Factory 1 and 40 days at Factory 2. d. Minimum cost of $835,000 using 30 days at Factory 1 and 20 days at Factory 2. e. Minimum cost of $437,000 using 38 days at Factory 1 and 0 days at Factory 2. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 96. In a laboratory experiment, two separate foods are given to experimental animals. Each food contains

Ingredient A Ingredient B Ingredient C

Food 1 8 units/g 5 units/g 4 units/g

Food 2 4 units/g 10 units/g 1 unit/g

Required 32 units 35 units

How many grams of foods 1 and 2 will satisfy the requirements for A and B and minimize the amount of ingredient C that is ingested? Also what is the minimum amount of ingredient C ingested? a. 8 grams of food 1 and 0 gram of food 2 satisfy the minimum requirements for A and B while

minimizing the amount of ingredient C to 8 grams. b. 0 gram of food 1 and 8 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 8 grams. c. 9 grams of food 1 and 0 gram of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 9 grams. d. 1 gram of food 1 and 8 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 12 grams. e. 1 gram of food 1 and 9 grams of food 2 satisfy the minimum requirements for A and B while Copyright Cengage Learning. Powered by Cognero.

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minimizing the amount of ingredient C to 13 grams. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 97. A political candidate wishes to use a combination of radio and TV advertisements in her campaign. Research

has been shown that each 1-minute spot on TV reaches 0.3 million people and that each 1 -minute spot on radio reaches 0.2 million. The candidate feels she must reach 21 million people, and she must buy at least 27 minutes of advertisements. How many minutes of each medium should be used if TV costs $500 per minute, radio costs $100 per minute, and the candidate wishes to minimize costs? a. Minimum cost is $14,500 using 10 minutes of TV time and 95 minutes of radio time. b. Minimum cost is $52,500 using 105 minutes of TV time and 0 minutes of radio time. c. Minimum cost is $52,500 using 0 minutes of TV time and 105 minutes of radio time. d. Minimum cost is $10,500 using 0 minutes of TV time and 105 minutes of radio time. e. Minimum cost is $10,500 using 105 minutes of TV time and 0 minutes of radio time. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 98. The James MacGregor Mining Company owns three mines: I, II, and III. Three grades of ore, A, B, and C,

are mined at these mines. For each grade of ore, the number of tons per week available from each mine and the number of tons per week required to fill orders are given in the following table.

Ore Grades Cost/day

A B C

III

Required Tons/Week

10 0 10

10 10 0

10 10 10

90 50 60

$6,800

$9,000

$12,000

Find the number of days that the company should operate each mine so that orders are filled at minimum cost. Find the minimum cost. a. Minimum cost is $55,600 obtained by operating mine I for 2 days, mine II for 2 days, and mine III

for 2 days. b. Minimum cost is $95,400 obtained by operating mine I for 3 days, mine II for 3 days, and mine III Copyright Cengage Learning. Powered by Cognero.

Page 580

for 4 days. c. Minimum cost is $85,600 obtained by operating mine I for 2 days, mine II for 4 days, and mine III for 3 days. d. Minimum cost is $78,200 obtained by operating mine I for 4 days, mine II for 3 days, and mine III for 2 days. e. Minimum cost is $81,200 obtained by operating mine I for 4 days, mine II for 2 days, and mine III for 3 days. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 99. Three factories each dump waste water containing three different types of pollutants into a river. State

regulations require the factories to treat their waste in order to reduce pollution levels. The table shows the possible percent reduction of each pollutant at each site and the cost per ton to process the waste.

Pollutant 1 Pollutant 2 Pollutant 3 Cost/ton

Factory 1 75% 15% 10% $51

Factory 2 45% 30% 25% $20

Factory 3 65% 20% 15% $7

If the state requires a reduction of at least 65 tons per day of pollutant 1, at least 40 tons per day of pollutant 2, and at least 20 tons per day of pollutant 3, find the number of tons of waste that must be treated each day at each site so that the state’s requirements are satisfied and the treatment costs are minimized. Find the minimum cost. a. The minimum cost is $2,970 per day when Factory #2 and Factory #3 each process 110 tons and

Factory #1 does not process any. b. The minimum cost is $2,840 per day when Factory #1 and Factory #2 each process 40 tons and Factory #3 does not process any. c. The minimum cost is $1,400 per day when Factory #3 process 200 tons, Factory #1 a and Factory #2 do not process any. d. The minimum cost is $1,490 per day when Factory #1 and Factory #2 each process 20 tons and Factory #3 produces 10 tons. e. The minimum cost is $2,370 per day when Factory #2 and Factory #3 each process 50 tons and Factory #1 produces 20 tons. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM Copyright Cengage Learning. Powered by Cognero.

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100. Assume that each nurse works 8 consecutive hours at the Beaver Medical Center. The center has the

following staffing requirements for each 4-hour work period. Work Period Nurses Needed 1 (7 a.m.–11 a.m.) 38 2 (11 a.m.–3 p.m.) 18 3 (3 p.m.–7 p.m.) 15 4 (7 p.m.–11 p.m.) 25 5 (11 p.m.–3 a.m.) 15 6 (3 a.m.–7 a.m.) 5 If represents the number of nurses starting in period 1, the number starting in period 2, and so on, write the linear programming problem that will minimize the total number of nurses needed. (Note that the nurses who begin work in period 6 work periods 6 and 1 for their 8-hour shift.) a.

Minimize Constraints:

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 101. Assume that each nurse works 8 consecutive hours at the Beaver Medical Center. The center has the

following staffing requirements for each 4-hour work period. Work Period Nurses Needed 1 (7–11) 45 2 (11–3) 25 3 (3–7) 29 4 (7–11) 38 5 (11–3) 17 6 (3–7) 8 If represents the number of nurses starting in period 1, the number starting in period 2, and so on, write and solve the linear programming problem that will minimize the total number of nurses needed. (Note that the nurses who begin work in period 6 work periods 6 and 1 for their 8-hour shift.) a. The minimum 91 is nurses with 40 nurses starting in period 1, 5 nurses starting in period 2,

29 nurses starting in period 3, 9 nurses starting in period 4, and 8 nurses starting in period 5 (no nurses need to start in period 6). b. The minimum is 91 nurses with 40 nurses starting in period 1, 29 nurses starting in period 3, and 9 nurses starting in period 4, 8 nurses starting in period 5, and 5 nurses starting in period 6 (no nurses need to start in period 2). c. The minimum is 91 nurses with 45 nurses starting in period 1, 29 nurses starting in period 3, and 9 nurses starting in period 4, and 8 nurses starting in period 5 (no nurses need to start in periods 2 and 6). d. The minimum is 96 nurses with 45 nurses starting in period 1, 29 nurses starting in period 3, and 9 nurses starting in period 4, and 13 nurses starting in period 5 (no nurses need to start in periods 2 and 6). e. The minimum is 86 nurses with 45 nurses starting in period 1, 24 nurses starting in period 3, and 9 nurses starting in period 4, and 8 nurses starting in period 5 (no nurses need to start in periods 2 and 6). ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 102. Express the inequality

as a

constraint.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 103. State the following problem in a form for which the simplex matrix can be formed (that is, as a

maximization problem with

constraints).

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

Page 584

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 104. Form the simplex matrix for the problem given below.

Maximize

subject to

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 105. State the given problem in a form from which the simplex matrix can be formed (that is, as a maximization

problem with Minimize

constraints). subject to

a. Copyright Cengage Learning. Powered by Cognero.

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e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 106. Form the simplex matrix, and identify the first pivot entry.

Minimize

subject to

Page 586

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 107. The final simple matrix for a minimization problem is given below. Find the solution.

a. The minimum of f is 112 when b. The minimum of f is 112 when c. The minimum of f is 112 when d. The minimum of f is 112 when e. The minimum of f is 112 when ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 108. Use the simplex method to find the optimal solution.

Maximize

subject to

Page 587

maximum of

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 109. Use the simplex method to find the optimal solution.

Minimize

subject to

a. minimum: b. minimum: c. minimum: d. minimum: e. minimum: ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 110. Use the simplex method to find the optimal solution.

Minimize

subject to

a. minimum: 39 at Copyright Cengage Learning. Powered by Cognero.

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b. minimum: 17 at c. minimum: 27 at d. minimum: 14 at e. minimum: 24 at ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 111. Use the simplex method to find the optimal solution.

Maximize

subject to

a. maximum: b. maximum: c. maximum: d. maximum: e. maximum: ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 112. Use the simplex method, Excel, or another technology to find the solution of the problem given below.

Assume all variables are nonnegative. Maximize

a. Maximum is 168 at

b. Maximum is 219 at

Page 589

c. Maximum is 142 at

d. Maximum is 190 at

e. Maximum is 171 at

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 113. Use the simplex method, Excel, or another technology to solve.

Maximize

subject to

a. maximum: b. maximum: c. maximum: d. maximum: e. maximum: ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 114. Use the simplex method, Excel, or another technology to solve.

a. minimum: b. minimum: c. minimum: Copyright Cengage Learning. Powered by Cognero.

Page 590

d. minimum: e. minimum: ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 115. Use the simplex method, Excel, or another technology, to find the solution of the problem given below.

Assume all variables are nonnegative.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 116. Suppose a sausage company makes two different kinds of hot dogs, regular and all beef. Each pound of all-

beef hot dogs requires 0.75 lb of beef and 0.2 lb of spices, and each pound of regular hot dogs requires 0.18 lb of beef, 0.3 lb of pork, and 0.2 lb of spices. Suppliers can deliver at most 1021.5 lb of beef, at most 690 lb of pork, and at least 546 lb of spices. If the profit is $0.60 on each pound of all-beef hot dogs and $0.40 on each pound of regular hot dogs, how many pounds of each should be produced to obtain maximum profit? What is the maximum profit? a. Maxomize profit is $1,408 with 820 lbs of all - beef and 2,290 lbs of regular hot dogs. b. Maxomize profit is $1,452 with 820 lbs of all - beef and 2,400 lbs of regular hot dogs. c. Maxomize profit is $1,406 with 810 lbs of all - beef and 2,300 lbs of regular hot dogs. d. Maxomize profit is $1,704 with 2,300 lbs of all - beef and 810 lbs of regular hot dogs. Copyright Cengage Learning. Powered by Cognero.

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e. Maxomize profit is $1,702 with 2,290 lbs of all - beef and 820 lbs of regular hot dogs. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 117. Nolan Industries manufactures water filters/purifiers that attach to a kitchen faucet. Each purifier consists

of a housing unit that attaches to the faucet and a 60-day filter that is inserted into the housing. Past records indicate that on average the number of filters produced plus the number of housing units produced should be at least 500 per week. It takes 20 minutes to make and assemble each filter and 40 minutes for each housing. The manufacturing facility has up to 20,000 minutes per week for making and assembling these units, but due to certain parts' supply constraints, the number of housing units per week can be at most 400. If manufacturing costs (for material and labor) are $6.2 for each filter and $8.45 for each housing unit, how many of each should be produced to minimize weekly costs? Find the minimum cost. a. Minimum cost of $3,168.75 weekly when no filtres and 375 housing units are produced. b. Minimum cost of $3,352.50 weekly when 200 filtres and 250 housing units are produced. c. Minimum cost of $2,775.00 weekly when 175 filtres and 200 housing units are produced. d. Minimum cost of $2,930.00 weekly when 200 filtres and 200 housing units are produced. e. Minimum cost of $3,100.00 weekly when 500 filtres and no housing units are produced. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 118. Johnson City Cooperage manufactures 30-gallon and 55-gallon fiber drums. Each 30-gallon drum takes 30

minutes to make, each 55-gallon drum takes 40 minutes to make, and the company has at most 10,000 minutes available each week. Also, workplace limitations and product demand indicate that the number of 55-gallon drums produced plus half the number of 30-gallon drums produced should be at least 160, and the number of 30-gallon drums should be at least twice the number of 55-gallon drums. If Johnson City Cooperage’s manufacturing costs are $4.5 for each 30-gallon drum and $6.1 for each 55-gallon drum, how many of each drum should be made each week to satisfy the constraints at minimum cost? Find the minimum cost. a. Minimum cost of $1,200.00 when 165 30 - gallon drums and 75 55 - gallon drums are produced. b. Minimum cost of $1,208.00 when 160 30 - gallon drums and 80 55 - gallon drums are produced. c. Minimum cost of $1,268.50 when 65 30 - gallon drums and 160 55 - gallon drums are produced. d. Minimum cost of $1,305.50 when 80 30 - gallon drums and 155 55 - gallon drums are produced. e. Minimum cost of $1,224.00 when 150 30 - gallon drums and 90 55 - gallon drums are produced. ANSWER: POINTS:

b 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 119. A company manufactures commercial heating system components and domestic furnaces at its factories in

Monaca, PA and Hamburg, NY. At the Monaca plant, no more than 1000 units per day can be produced, and the number of commercial components cannot exceed 100 more than half the number of domestic furnaces. At the Hamburg plant, no more than 850 units per day can be produced. The profit on each commercial component is $400 at the Monaca plant and $390 at the Hamburg plant. The profit on each domestic furnace is $200 at the Monaca plant and $215 at the Hamburg plant. If there is a rush order for 540 commercial components and 740 domestic furnaces, how many of each should be produced at each plant in order to maximize profits? Find the maximum profit. Note: Assume that exactly enough units are produced to fill the rush order. a. Maximum profit is $365,750 with 210 heating comproments produced at Monaca and 330 at

Hamburg and 520 domestic furnces produced at Monaca and 220 at Hamburg. b. Maximum profit is $355,250 with 330 heating comproments produced at Monaca and 210 at Hamburg and 220 domestic furnces produced at Monaca and 520 at Hamburg. c. Maximum profit is $368,500 with 210 heating comproments produced at Monaca and 330 at Hamburg and 220 domestic furnces produced at Monaca and 520 at Hamburg. d. Maximum profit is $344,500 with 330 heating comproments produced at Monaca and 220 at Hamburg and 520 domestic furnces produced at Monaca and 220 at Hamburg. e. Maximum profit is $364,000 with 210 heating comproments produced at Monaca and 330 at Hamburg and 220 domestic furnces produced at Monaca and 520 at Hamburg. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 120. A manufacturer makes Portable Satellite Radios and Auto Satellite Radios at plants in Lakeland and

Rockledge. At the Lakeland plant, at most 1800 radios can be produced, and the production of the Auto Satellite Radios can be at most 200 fewer than the production of the Portable Satellite Radios. At the Rockledge plant, at most 1200 radios can be produced. The profits on the Portable Satellite Radios are $101 at Lakeland and $92 at Rockledge, and the profits on the Auto Satellite Radios are $72 at Lakeland and $75 at Rockledge. If the manufacturer gets a rush order for 1500 Portable Satellite Radios and 1300 Auto Satellite Radios, how many of each should be produced at each location so as to maximize profits? Find the maximum profit. a. Maximum profit of $252,000 when 1500 portable satellite radios and 250 auto satellite radios are

produced at the Laleland plant and 1100 auto satellite radios are produced at Rockledge. b. Maximum profit of $226,100 when 1100 portable satellite radios and 300 auto satellite radios are produced at the Laleland plant and 200 portable satellite radios and 1000 auto satellite radios are produced at Rockledge. c. Maximum profit of $282,675 when 1475 portable satellite radios and 200 auto satellite radios are produced at the Laleland plant and 400 portable satellite radios 1100 auto satellite radios are Copyright Cengage Learning. Powered by Cognero.

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produced at Rockledge. d. Maximum profit of $248,700 when 1500 portable satellite radios and 100 auto satellite radios are produced at the Laleland plant and 1200 auto satellite radios are produced at Rockledge. e. Maximum profit of $298,550 when 1800 portable satellite radios are produced at the Laleland plant and 250 portable satellite radios 1250 auto satellite radios are produced at Rockledge. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 121. Suppose that three water purification facilities can handle at most 30 million gallons in a certain time

period. Plant 1 leaves 20% of certain impurities, and costs $20,000 per million gallons. Plant 2 leaves 15% of these impurities and costs $30,000 per million gallons. Plant 3 leaves 10% impurities and costs $40,000 per million gallons. The desired level of impurities in the water from all three plants is at most 15%. If Plant 1 and Plant 3 combined must handle at least 26 million gallons, find the number of gallons each plant should handle so as to achieve the desired level of purity at minimum cost. Find the minimum cost. a. Minimum cost is $720,000 with plants 1 and 3 each handling 12,000,000 gallons and plant 2

handling 0 gallons. b. Minimum cost is $840,000 with plants 1 and 3 each handling 13,000,000 gallons and plant 2 handling 4,000,000 gallons. c. Minimum cost is $900,000 with plants 1 and 3 each handling 14,000,000 gallons and plant 2 handling 2,000,000 gallons. d. Minimum cost is $840,000 with plants 1 and 3 each handling 14,000,000 gallons and plant 2 handling 0 gallons. e. Minimum cost is $780,000 with plants 1 and 3 each handling 13,000,000 gallons and plant 2 handling 0 gallons. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 122. A chemical storage tank has a capacity of 200 tons. Currently, the tank contains 50 tons of a mixture that

has 10% of a certain active chemical and 1.8% of other inert ingredients. The owners of the tank want to replenish the supply in the tank and will purchase some combination of two available mixes. Mix 1 contains 70% of the active chemical and 3% of the inert ingredients; its cost is $103 per ton. Mix 2 contains 30% of the active chemical and 1% of the inert ingredients; its cost is $40 per ton. The desired final mixture should have at least 40% of the active chemical and at most 2% of the inert ingredients. How many tons of each mix should be purchased to obtain the desired final mixture at minimum cost? Find the minimum cost. Note that at least 40% of the active chemical means Copyright Cengage Learning. Powered by Cognero.

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a. Minimum cost is $9,610 obtained by purchasing 70 tons of mix 1 and 60 tons of mix 2. b. Minimum cost is $8,180 obtained by purchasing 60 tons of mix 1 and 50 tons of mix 2. c. Minimum cost is $6,920 obtained by purchasing 40 tons of mix 1 and 70 tons of mix 2. d. Minimum cost is $8,580 obtained by purchasing 60 tons of mix 1 and 60 tons of mix 2. e. Minimum cost is $9,925 obtained by purchasing 50 tons of mix 1 and 60 tons of mix 2. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM 123. Suppose a ball manufacturer produces soccer balls, footballs, and volleyballs. The manager feels that

restricting the types of balls produced could increase revenue. The following table gives the price of each ball, the raw materials cost, and the profit on each ball. The monthly profit must be at least $70,000, and the raw materials costs must be no more than $80,000. How many of each type of ball should be produced to maximize the revenue? What is the maximum revenue?

Footballs Soccer balls Volley balls

Raw Materials Cost $10 $12 $8

Price per Ball $30 $25 $20

Profit per Ball $10 $8 $8

a. The maximum revenue is $160,000 when 8,000 volleyballs and no footballs or soccer balls are

produced. b. The maximum revenue is $212,500 when 8,500 soccer balls and no footballs or volleyballs are produced. c. The maximum revenue is $255,000 when 8,500 footballs and no soccer balls or volleyballs are produced. d. The maximum revenue is $240,000 when 8,000 footballs and no soccer balls or volleyballs are produced. e. The maximum revenue is $200,000 when 8,000 soccer balls and no footballs or volleyballs are produced. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM

Page 595

124. Use the rules of exponents to simplify the expression.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:33 AM DATE MODIFIED: 11/16/2020 10:33 AM

1. Use a calculator to evaluate the expression. Round your answer to four decimal places, if necessary.

a. 0.0156 b. 2.4495 c. 0.4082 d. 128 e. 3 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 2. Use a calculator to evaluate the expression. Round your answer to six decimal places.

a. –0.033229 Copyright Cengage Learning. Powered by Cognero.

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b. –30.094517 c. –11.400000 d. 47.045881 e. 0.033229 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 3. Use a calculator to evaluate the expression. Round your answer to two decimal places, if necessary.

a. 256 b. 1 c. 1.41 d. 5.66 e. 16 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 4. Use a calculator to evaluate the expression. Round your answer to two decimal places.

a. 403.43 b. 16.31 c. 130.39 d. 1096.63 e. 32.62 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 10:45 AM

5. Graph the function.

Page 598

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 6. Graph the function.

Page 599

Page 600

ANSWER: POINTS:

d 1

Page 601

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 8. Graph the function.

Page 602

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM

9. Express

in the form

with an appropriate value of

a. b. c. d.

–

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 10. Is the function

a growth exponential or decay exponential?

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a. growth exponential b. decay exponential ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 11. Graph the function

Page 604

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 12. Given

. Graph

and

for

Page 605

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM Copyright Cengage Learning. Powered by Cognero.

Page 606

13. Let

graphs of

and

. Use a graphing utility to graph the functions below.

and

where

. Identify the

Page 607

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 14. Let

. Using a graphing utility, graph What effect does c have on the graphs?

for

and

a. As c changes, the graph is shifted horizontally by c units. b. As c changes, the graph is shifted vertically by c units. c. As c changes, the y-intercept and the horizontal asymptote change. d. As c changes, the graph is rotated c degrees. e. As c changes, the graph is reflected over the line

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 15. If $1,100 is invested for x years at an annual rate of 6%, compounded quarterly, the future value that will

result is

Determine the value of the investment after 8 years. Round your answer to two decimal places, if necessary. Copyright Cengage Learning. Powered by Cognero.

Page 608

a. $3,549.36 b. $7,098.73 c. $1,753.23 d. $5,998.73 e. $528 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 16. We will show in the next chapter that if $P is invested for n years at an annual rate of 8% compounded

continuously, the future value of the investment is given by

Use

and graph this function for a.

. b.

Page 609

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 17. The percent concentration y of a certain drug in the bloodstream at any time t in minutes is given by the

equation . Graph this equation for

Page 610

ANSWER: POINTS:

d 1

Page 611

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 18. The percent concentration y of a certain drug in the bloodstream at any time t in minutes is given by the

equation . Graph this function with a graphing utility. Which of the following statements best describes the situation after 10 hours? a. After 10 hours, 50% of the drug is in the blood stream. b. After 10 hours, 10% of the drug is in the blood stream. c. After 10 hours, there are almost 100 units of the drug in the blood stream. d. After 10 hours, the drug has almost completely dissipated. e. After 10 hours, the drug is almost completely in the blood stream. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 19. A starfish population can be modeled by

, where is the number of individuals at time , is the yearly rate of growth, and t is the number of years. Sketch the graph for to when the growth rate is 2.1% and is 4.5 billion. All numbers on the vertical axis are in billions. a.

Page 612

processing industry isconsolidating. The linear equation that is the best fit for the number of metal processors as a function of years after 1990 is , and the best exponential fit is . The linear equation seems to give a much better fit for the data points than the exponential equation. Why then is the exponential equation a more useful model to predict the number of metal processors in ?

Page 613

a. The quantity of metal processing units as a function of time is exponential for the first five years, and

linear for the next five years. b. As the quantity of metal processors decreases, they decrease at an increasingly quadratic rate as a function of time. c. The number of metal processing units will probably start to increase in 2007. d. The linear model gives a negative number of processors in 2010. The exponential model is always non-negative. e. The number of metal processing units follows a parabolic model. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 21. Total personal income in the United States (in billions of dollars) for selected years from 1960 to 2002 is

given in the following table. Year Personal Income

1960

1970

1980

1990

2000

2002

411.7

836.1

2,285.7

4,791.6

8,406.6

8,929.1

b 1

Page 614

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 22. Total personal income in the United States (in billions of dollars) for selected years from 1960 to 2002 is

given in the following table. Year Personal Income

1960

1970

1980

1990

2000

2002

411.7

836.1

2,285.7

4,791.6

8,406.6

8,929.1

Source: Bureau of Economic Analysis, U.S. Department of Commerce These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960. If this model is accurate, what will be the total U.S. personal income in 2010? Round your answer to two decimal places. a. $13,848.89 billions b. $14,052.68 billions c. $17,998.91 billions d. $18,464.37 billions e. $20,471.85 billions ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 23. The consumer price index (CPI) is calculated by averaging the prices of various items after assigning a

weight to each item. The following table gives the consumer price indexes for selected years from 1940 through 2002, reflecting buying patterns of all urban consumers, with x representing years past 1900. Find an equation that models these data. If it's necessary, round your calculations to four decimal places. Year 1940 1950 1960 1970

Consumer Price Index 14 24.1 29.6 38.8

Year 1980 1990 2000 2002

Consumer Price Index 82.4 130.7 172.2 179.9

Source: U.S. Bureau of the Census a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 24. The consumer price index (CPI) is calculated by averaging the prices of various items after assigning a

weight to each item. The following table gives the consumer price indexes for selected years from 1940 through 2002, reflecting buying patterns of all urban consumers. Find an equation that models these data and use it to predict the consumer price index in 2020. Use the model to predict the consumer price index in 2020. Round your answer to two decimal places. Year 1940 1950 1960 1970

Consumer Price Index 14 24.1 29.6 38.8

Year 1980 1990 2000 2002

Consumer Price Index 82.4 130.7 172.2 179.9

Source: U.S. Bureau of the Census a. 78.47 b. 134.97 c. 163.86 d. 201.51 e. 403.33 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 25. The consumer price index (CPI) is calculated by averaging the prices of various items after assigning a

weight to each item. The following table gives the consumer price indexes for selected years from 1940 through 2002, reflecting buying patterns of all urban consumers. Find an equation that models these data and use it to determine when the consumer price index will pass 261. Year 1940

Consumer Price Index 14

Year 1980

Consumer Price Index 82.4 Page 616

1950 1960 1970

24.1 29.6 38.8

1990 2000 2002

130.7 172.2 179.9

Source: U.S. Bureau of the Census a. The 2004 - 2005 year b. The 2005 - 2006 year c. The 2007 - 2008 year d. The 2009 - 2010 year e. The 2012 - 2013 year ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 26. The following table gives the average number of students per computer in public schools for the school

years that ended in 1985 through 2002. Let x be the number of years past 1980. Find an exponential model for these data. Round your answer to three decimal places. Year 1985 1986 1987 1988 1989 1990 1991 1992 1993

Studentsper Computer 75 50 37 32 25 22 20 18 16

Year 1994 1995 1996 1997 1998 1999 2000 2001 2002

Studentsper Computer 14 10.5 10 7.8 6.1 5.7 5.4 5.0 4.9

Source: Quality Education Data, Inc., Denver, Colorado a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 10:45 AM 11/16/2020 10:45 AM

27. The following table gives the average number of students per computer in public schools for the school

years that ended in 1985 through 2002. Find an exponential model for these data. How many students per computer in public schools does this model predict for 2010? Round your answer to two decimal places. Year Studentsper Computer 1985 75 1986 50 1987 37 1988 32 1989 25 1990 22 1991 20 1992 18 1993 16

Year Studentsper Computer 1994 14 1995 10.5 1996 10 1997 7.8 1998 6.1 1999 5.7 2000 5.4 2001 5.0 2002 4.9

Source: Quality Education Data, Inc., Denver, Colorado Year

Students per Computer

a. 0.66 b. 1.12 c. 3.02 d. 1.62 e. 4.02 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 28. Write the equation in exponential form.

a. b. c. d. e. ANSWER:

Page 618

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 29. Write the equation in exponential form.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 30. Solve for x by writing the equation in exponential form. Round your answer two decimal places, if

necessary.

a. 20 b. 625 c. 1,024 d. 148.41 e. 4,096 ANSWER: POINTS:

c 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 31. Solve for x by writing the equation in exponential form. Round your answer to two decimal places, if

necessary.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 32. Solve for x by writing the equation in exponential form.

a. b. 8 c. d. 3 e. 24 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM Copyright Cengage Learning. Powered by Cognero.

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33. Write the equation in logarithmic form.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 34. Write the equation in logarithmic form.

b. c.

d. e.

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ANSWER: POINTS:

b 1

Page 622

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 36. Graph the function.

Page 623

base formula and a calculator. Round your answer two decimal places.

a. 20.09 b. 4.00 c. 64.00 d. 243.00 e. no solution ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 38. Use properties of logarithms or a definition to simplify the expression. Check the result with a change-of-

base formula and a calculator.

Page 624

a. 8 b. 1 c. 4 d. –1 e. no solution ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 39. Use properties of logarithms or a definition to simplify the expression.

find

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 40. Use properties of logarithms or a definition to simplify the expression.

, find

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

Page 625

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 41. Use properties of logarithms or a definition to simplify the expression.

, find

a. 9 b. 10 c. d. 1,000,000,000 e. 90 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 42. Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer two

decimal places.

a. 5.30 b. 6.82 c. –0.90 d. 0.89 e. 0.71 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 43. Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer to two

decimal places.

Page 626

a. 0.70 b. 7.59 c. 0.70 d. –1.00 e. 5.60 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 44. Evaluate the logarithm by using properties of logarithms and the following fact. Round your answer two

decimal places.

a. 15.60 b. 2.72 c. 5.90 d. 15.21 e. 7.80 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 45. Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer two

decimal places.

a. 1.61 b. 1.30 Copyright Cengage Learning. Powered by Cognero.

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c. 5.20 d. 1.90 e. 0.62 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 46. Write the expression as the sum or difference of two logarithmic functions containing no exponents.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 47. Write the expression as the sum or difference of two logarithmic functions containing no exponents.

a. b. c. d.

Page 628

e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 48. Use the properties of logarithms to write the expression as a single logarithm.

b. c. d. e.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 49. Use the properties of logarithms to write the expression as a single logarithm.

c. Copyright Cengage Learning. Powered by Cognero.

Page 629

a. equivalent b. not equivalent ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 51. Use a calculator to determine whether expression (a) is equivalent to expression (b).

a. equivalent b. not equivalent ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED: 52. Given

11/16/2020 10:45 AM

, use a graphing calculator to graph

for

and .

Page 631

with a calculator or other technology. Round your answer

to four decimal places. a. 0.4421 b. 2.7299 c. 2.2619 d. 3.5835 e. 2.7081 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 54. Find an equivalent expression for the given logarithm using the change-of-base formula.

Page 632

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 55. Use a change-of-base formula to rewrite the logarithm in terms of natural logarithms.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 56. Which answer choice is a graph of the function?

Page 633

Page 634

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM

57. Use the formula

In October 2004, an earthquake measuring 6.8 on the Richter scale occurred in Japan. The largest quake in Japan since 1990was one in 1993that registered 7.7. How many times more severe was the 1993shock than the one in 2004on the Richter scale? Round your answer to one decimal place. a. 0.9 times as severe b. 6.2 times as severe c. 7.9 times as severe d. 9.6 times as severe e. 19.1 times as severe ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM

58. Use the formula

Page 635

The San Francisco earthquake of 1906 measured 8.25 on the Richter scale, and the San Francisco earthquake of 1989 measured 7.1. How much more intense was the 1906 quake? a. 0.8 times as severe. b. 4.3 times as severe c. 7.1 times as severe d. 11.2 times as severe e. 14.1 times as severe ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 59. Use the fact that the loudness of sound (in decibels) perceived by the human ear depends on intensity levels

according to loudness when

, where is 10,000 times

is the threshold of hearing for the average human ear. Find the

a. 4 b. 40 c. 5 d. 400 e. 1,000 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 60. Use the following information. Chemists use the pH (hydrogen potential) of a solution to measure its acidity

or basicity. The pH is given by the formula ions in moles per liter. What value of

, where

is the concentration of hydrogen

is associated with pH level 12?

a. b. c. d. Copyright Cengage Learning. Powered by Cognero.

Page 636

e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM

61. Use the formula

to find the doubling time t, in years, for an investment at r%

compounded n times per year. Suppose you make an investment of $1,400 at interest rate 10% compounded quarterly. How long will it take for your investment to double? Round your answer to two decimal places. a. 2.34 years b. 14.04 years c. 3.51 years d. 3.64 years e. 7.02 years ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 62. Between the years 1960 and 2002, the percent of women in the work force is given

by , where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). What does this model estimate to be the percent of women in the work force in 2017? Round your answer to two decimal places. a. 63.81 b. 61.26 c. 66.18 d. 75.28 e. 51.27 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM Copyright Cengage Learning. Powered by Cognero.

Page 637

63. Between the years 1960 and 2002, the percent of women in the work force is given by

, where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). Graph this function with a graphing utility and use the graph drawn to estimate the year in which the percent reached 50. Round your answer to the nearest year. a. 1966 b. 1967 c. 1976 d. 1983 e. 1989 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 64. Solve the exponential equation. Round your answer to three decimal places, if necessary.

a. 125 b. 0.667 c. 0.861 d. 0.408 e. 63 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 65. Solve the exponential equation. Give answers correct to 3 decimal places.

a. 2.059 b. 0.120 c. 8.333 d. –0.120 e. –0.714 Copyright Cengage Learning. Powered by Cognero.

Page 638

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 66. Solve the exponential equation. Give the answer correct to 3 decimal places.

a. 0.646 b. 6.463 c. 15.473 d. 0.340 e. 34.012 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 67. Solve the exponential equation. Give the answer correct to 3 decimal places.

a. –0.233 b. 78.511 c. 11.660 d. –78.511 e. –9.448 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 68. Solve the exponential equation. Give the answer correct to 3 decimal places.

Page 639

a. –2.234 b. –0.536 c. 4.672 d. –0.934 e. 11.168 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 69. Solve the logarithmic equation

. Round your answer to three decimal places.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM Copyright Cengage Learning. Powered by Cognero.

Page 640

DATE MODIFIED:

11/16/2020 10:45 AM

71. Solve the logarithmic equation

, where x is the number of months that have passed since the end of a promotional campaign. Determine the monthly sales 9 months after the promotional campaign. Round your answer to the nearest cent. a. $81,548.45 b. $37.33 c. $27,440.58 d. $66,971,538.22 e. $91,105.94 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 73. The monthly sales S for a product is given by

, where x is the number of months that have passed since the end of a promotional campaign. How many months after the end of the campaign will sales drop below 3,000, if no new campaign is initiated? Round to two decimal places. a. 3.52 months b. 5.25 months c. 6.49 months d. 6.86 months e. 8.32 months ANSWER:

Page 641

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 74. The purchasing power P (in dollars) of an annual amount of A dollars after t years of 8% inflation decays

according to . How long will it be before a pension of $80,000 per year has a purchasing power of $40,000? Round your answer to one decimal place. a. 1.0 year b. 5.3 years c. 15.8 years d. 18.3 years e. 8.7 years ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 75. The purchasing power P (in dollars) of an annual amount of A dollars after t years of 8% inflation decays

according to . Determine how large a pension A needs to be so that the purchasing power P is $60,000 after 25 years? Round your answer to the nearest dollar. a. $607,380 b. $443,343 c. $163,097 d. $29,872 e. $221,673 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 76. An initial amount of 100 g of the radioactive isotope thorium-234 decays according to

where t is in years. How long does it take for half of the initial amount to disintegrate? This time is called the half-life of this isotope. Round your answer to one decimal place. Copyright Cengage Learning. Powered by Cognero.

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a. 240.5 years b. 170.7 years c. 24.5 years d. 27.5 years e. 245.1 years ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 77. The population y of a certain country was 100,000 in 1990 and 134,986 in 2000. Assume the formula

applies to the growth of the country's population. Estimate the population of the country in 2015. Round your answer to the nearest human. a. 156,831 b. 285,765 c. 211,700 d. 63,763 e. 47,237 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 78. For selected years from 1960 to 2001, the national health care expenditures H, in billions of dollars, can be

modeled by , where t is the number of years past 1960 (Source: U.S. Department of Health and Human Services). If this model remains accurate, in what year will national health care expenditures reach $8 trillion (that is, $8000 billion)? Round your answer to the nearest year. a. in the year 2018 b. in the year 2028 c. in the year 2023 d. in the year 2021 e. in the year 2019 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

Page 643

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM

79. The demand function for a certain commodity is given by

, where q is number of units. At what

price per unit will the quantity demanded equal 6 units? Round your answer to the nearest cent. a. $0.25 b. $0.40 c. $2.01 d. $4.98 e. $0.74 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM

80. The demand function for a certain commodity is given by

, where q is number of units. If the

price is $0.41 per unit, how many units will be demanded, to the nearest unit? a. 11 units b. 9 units c. 13 units d. 12 units e. 14 units ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM

81. If the supply function for a product is given by

, where q represents the number of hundreds of

units, what will be the price when the producers are willing to supply 200 units? Round your answer to the nearest cent. a. $164.20 b. $369.45 Copyright Cengage Learning. Powered by Cognero.

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c. $625.29 d. $246.30 e. $1004.28 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 82. If the total cost function for a product is

, where x is the number of items produced, what is the total cost of producing 70 units? Round your answer to the nearest cent. a. $412.37 b. $1496.63 c. $71.49 d. $402.01 e. $419.03 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 83. If the total cost (in dollars) for x units of a product is given by

, what is the total

cost of producing 190 units? Round your answer to the nearest cent. a. $1378.73 b. $1078.73 c. $1493.23 d. $1277.62 e. $1268.73 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 84. If the demand function for a product is given by Copyright Cengage Learning. Powered by Cognero.

where p is the price per unit when x units are Page 645

demanded, what is the total revenue when 80 units are demanded and supplied? Round your answer to the nearest cent. a. $5,209.80 b. $7,189.26 c. $293.05 d. $3,230.34 e. $44.93 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 85. If $6,500 is invested at an annual rate of 12.5% compounded continuously, the future value S at any time t

(in years) is given by cent.

. What is the amount after 18 months? Round your answer to the nearest

a. $61,670.28 b. $7,832.90 c. $34,755.39 d. $34,755.39 e. $7,840.50 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 86. If $6,500 is invested at an annual rate of 12% compounded continuously, the future value S at any time t (in

years) is given by one decimal place.

. How long does it take for the investment to double? Round your answer to

a. 5.8years b. 3.9 years c. 4.9 years d. 6.2 years e. 7.8 years ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 87. If $3,000 is invested at an annual rate of 9% per year compounded monthly, the future value S at any time t

(in months) is given by cent.

. What is the amount after 1 year? Round your answer to the nearest

a. $3,240.00 b. $8,834.04 c. $3,282.52 d. $3,022.50 e. $3,281.42 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 88. If $9,000 is invested at an annual rate of 11% per year compounded monthly, the future value S at any time t

(in months) is given by answer to one decimal place.

. How long does it take for the investment to double? Round your

a. 91.2 months b. 14.8 months c. 76.0 months d. 92.2 months e. 68.7 months ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 89. The securities industry experienced dramatic growth in the last two decades of the 20th century. The

following models for the industry’s revenue R and expenses or costs C (both in billions of dollars) were developed as functions of the years past 1980 with data from the U.S. Securities and Exchange Commission’s 2000 Annual Report (2001). and . Use the models to predict the profit for the securities industry in 2008. Round your answer to two decimal places. Copyright Cengage Learning. Powered by Cognero.

Page 647

a. $1.15 billion b. $838.31 billion c. $728.63 billion d. $109.69 billion e. $474.00 billion ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 90. By using data from the U.S. Bureau of Labor Statistics for the years 1968–2002, the purchasing power P of

a 1983 dollar can be modeled with the function , where t is the number of years past 1960. Based on this model, what is the purchasing power of a 1983 dollar in the year 1995? Round your answer to the nearest cent. a. $22.44 b. $0.65 c. $18.38 d. $43.79 e. $0.88 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 91. By using data from the U.S. Bureau of Labor Statistics for the years 1968–2002, the purchasing power P of

a 1983 dollar can be modeled with the function , where t is the number of years past 1960. In what year will the purchasing power of a 1983 dollar be $0.15? Round-up your answer to the nearest year. a. 1993 b. 2006 c. 1999 d. 2027 e. 2024 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

e 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 92. Suppose the supply of x units of a product at price p dollars per unit is given by

. How

many units would be supplied when the price is $40 each? Round your answer to one decimal place. a. 200.2 units b. 450.8 units c. 744.5 units d. 100.9 units e. 100.1 units ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 93. The president of a company predicts that sales N will increase after she assumes office and that the number

of monthly sales will follow the curve given by , where t represents time in months since she assumed office. What will the sales be when she assumes office? a. 3,000 b. 625 c. 180 d. 300 e. 1,800 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 94. The president of a company predicts that sales N will increase after she assumes office and that the number

of monthly sales will follow the curve given by assumed office. What is the expected upper limit on sales?

, where t represents time in months since she

a. 0 b. 3,000 c. 600 Copyright Cengage Learning. Powered by Cognero.

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d. 1,500 e. infinity ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 95. The president of a company predicts that sales N will increase after she assumes office and that the number

of monthly sales will follow the curve given by , where t represents time in months since she assumed office. What will be the sales after 7 months? Round your answer to the nearest month. a. 2,963 b. 1 c. 11 d. 2,100 e. 272 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 96. Suppose that the equation

represents the number of employees working t years after a

company begins operations. How many employees are there when the company opens (at

a. 3 employees b. 300 employees c. 6 employees d. 1 employee e. 24 employees ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM

Page 650

97. Suppose that the equation

represents the number of employees working t years after a company begins operations. After how many years will at least 100 employees be working? Round your answer to two decimal places. a. after 1.78 years b. after 1.28 years c. after 116.10 years d. after 0.59 year e. after 0.62 year ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 98. The concentration y of a certain drug in the bloodstream t hours after an oral dosage (with

by the equation decimal place.

) is given

. What is the concentration after 3 hours? Round your answer to one

a. 125.0 b. 299.9 c. 111.0 d. 1,908.6 e. 75.0 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 99. The concentration y of a certain drug in the bloodstream t hours after an oral dosage (with

by the equation answer to two decimal places.

) is given

How long does it take for the concentration to reach 90? Round your

a. 4.98 hours b. 2.98 hours c. 0.23 hour d. 1.39 hours e. 100.00 hours ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 100. On a college campus of 10,000 students, a single student returned to campus infected by a disease. The

spread of the disease through the student body is given by

, where y is the total number

infected at time t (in days). How many are infected after 7 days? a. approximately 32 students b. approximately 10 students c. approximately 9,905 students d. approximately 928 students e. approximately 911 students ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 101. On a college campus of 10,000 students, a single student returned to campus infected by a disease. The

spread of the disease through the student body is given by

, where y is the total number

infected at time t (in days). The school will shut down if 50% of the students are ill. What value of t corresponds to this percentage? a. ∞ b. 8.19 c. 9.30 d. 6.44 e. 3.96 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 102. Suppose that the market share y (as a percent) that a company expects t months after a new product is Copyright Cengage Learning. Powered by Cognero.

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introduced is given by . What is the market share after the first month (to the nearest percent)? Round your answer to two decimal place. a. 30.77 % b. 0.12 % c. 1.46 % d. 1.54 % e. 29.27 % ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 103. Suppose that the market share y (as a percent) that a company expects t months after a new product is

introduced is given by . How long (to the nearest month) will it take for the market share to be 20%? Round your answer to one decimal place. a. 8.1 months b. 6.1 months c. 1.4 months d. 10.8 months e. 12.2 months ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 104. Pollution levels in Lake Erie have been modeled by the equation

, where x is the volume of pollutants (in cubic kilometers) and t is the time (in years) (Adapted from R. H. Rainey, Science 155 (1967), 1242–1243). Find the initial pollution level; that is, find x when . a. 0.23 km3 b. 0.3 km3 c. 0.40 km3 d. 0.20 km3 e. 0.9 km3 ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 105. For selected years from 1978 to 2002, the number of mutual funds N, excluding money market funds, can

be modeled by

, where t is the number of years past 1975 (Source: Investment Company

Institute, Mutual Fund Fact Book (2003)). Use the model to estimate the number of mutual funds in 1993. Round your answer to the nearest whole number. a. 12,034 b. 160 c. 20,295 d. 3,773 e. 66,318 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 106. For selected years from 1978 to 2002, the number of mutual funds N, excluding money market funds, can

be modeled by

, where t is the number of years past 1975 (Source: Investment

Company Institute, Mutual Fund Fact Book (2003)). Use the model to estimate the year when the number of mutual funds will reach 8,000. a. 1997 b. 2000 c. 2005 d. 2001 e. 2009 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 107. The following table gives the percent of the U.S. population with Internet connections for the years 1997 to Copyright Cengage Learning. Powered by Cognero.

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2003. Use a calculator to find the logistic function that models these data. Use x as the number of years past 1995. Year 1997 1998 1999 2000 2001 2002 2003 Percent with 22.2 32.7 39.1 44.4 53.9 55.0 56.0 Internet Source: U.S. Department of Commerce a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 108. The following table gives the percent of the U.S. population with Internet connections for the years 1997 to

2003. Use a calculator to find the logistic function that models these data and then use the model to predict the percent of the U.S. population with Internet connections in 2014. Use x as the number of years past 1995. Round your answer to one decimal place. Year 1997 1998 1999 2000 2001 2002 2003 Percent with 22.2 32.7 39.1 44.4 53.9 55.0 56.0 Internet Source: U.S. Department of Commerce a. 63.9 % b. 66.8 % c. 62.3 % d. 59.6 % e. 56.8 % ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

Page 655

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM 109. The following table gives the percent of the U.S. population with Internet connections for the years 1997 to

2003. Use a calculator to find the logistic function that models these data and then use the model to predict when 58.2% of the U.S. population will have internet connections. Use x as the number of years past 1995. Round your answer to the nearest year. Year Percent with Internet

1997 1998 1999 2000 2001 2002 2003 22.2

32.7

39.1

44.4

53.9

55.0

56.0

Source: U.S. Department of Commerce a. 2001 b. 2005 c. 2007 d. 2010 e. 2011 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:45 AM DATE MODIFIED: 11/16/2020 10:45 AM

1. Find :

a. $1,925 b. $2,200 c. $1,650 d. $385 e. $1,100 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 2. What does the number 290 represent in the given equation: Copyright Cengage Learning. Powered by Cognero.

? Page 656

a. principal b. interest c. future value d. time e. annual interest rate ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 3. What does the number 0.08 represent in the given equation:

a. annual interest rate b. interest c. future value d. time e. principal ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 4. $3,600 is invested for 9 months at an annual simple interest rate of 15%. How much interest will be

earned? Round your answer to the nearest dollar. a. $4,053 b. $4,860 c. $405 d. $352 e. $498 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 5. If you borrow $1,900 for 5 years at 6% annual simple interest, how much must you repay at the end of the 3 Copyright Cengage Learning. Powered by Cognero.

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years? Round your answer to the nearest dollar. a. $3,116 b. $7,600 c. $2,356 d. $2,584 e. $2,470 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 6. If you lend $3,700 to a friend for 16 months at 9% annual simple interest, find the future value of loan. Round

your answer to the nearest cent. a. $4,588.00 b. $9,028.00 c. $4,193.33 d. $4,144.00 e. $4,094.67 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 7. Jenny Reed bought SSX stock for $20 per share. The annual dividend was $2.50 per share, and after

3 year(s), SSX was selling for $21 per share. Find the simple interest rate of growth of her money to the nearest hundredth of a percent. Round your answer to two decimal places. a. 1.42% b. 1.67% c. 13.49% d. 14.17% e. 80.83% ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 10:52 AM 11/16/2020 10:52 AM

8. Suppose that in order to buy a Treasury bill (T-bill) that matures to $11,000 in 6 months, you must pay

$10,750. What rate does this earn? Round your answer to one decimal place. a. 6.5% b. 2.8% c. 5.6% d. 3.7% e. 4.7% ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 9. A student has a savings account earning 9% simple interest. She must pay $1,700 for first-semester tuition by

September 1 and $1,700 for second-semester tuition by January 1. How much must she earn in the summer (by September 1) in order to pay the first-semester bill on time and still have the remainder of her summer earnings grow to $1,700 between September 1 and January 1? Round your answer to two decimal places. a. $3,374.88 b. $3,362.59 c. $3,350.49 d. $3,326.79 e. $3,378.42 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 10. What is the present value of an investment at 6% annual simple interest if it is worth $958.50 in

13 months? Round your answer to the nearest cent. a. $900.00 b. $910.00 c. $890.00 d. $948.50 e. $968.50 ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 11. How long does it take for $6,500 invested at 10% annual simple interest to be worth $9,000? Round your

answer to two decimal places. a. 23.85 years b. 38.46 years c. 3.85 years d. 2.78 years e. 0.38 years ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 12. An investor owns several apartment buildings. The taxes on these buildings total $32,000 per year and are

due before April 1. The late fee is 0.5% per month up to 6 months, at which time the buildings are seized by the authorities and sold for back taxes. If the investor has $32,000 available on March 31, how much money will he save by investing the money at 8% and paying the taxes and the penalty on September 30 instead of paying the taxes at that time? Round your answer to the nearest cent. a. $1,600.00 b. $1,184.00 c. $320.00 d. $960.00 e. $576.00 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 13. Andre De Quadros bought a $3,000, 9-month certificate of deposit (CD) that would earn 8.0% annual simple

interest. What is the value of the CD when it matures? Round your answer to to the nearest cent. a. $3,060.00 Copyright Cengage Learning. Powered by Cognero.

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b. $3,120.00 c. $3,240.00 d. $3,160.00 e. $3,180.00 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 14. Leah Hagel bought a $2,500, 9-month certificate of deposit (CD) that would earn 8% annual simple interest.

Three months before the CD was due to mature, Leah needed her CD money, so a friend agreed to lend her money and receive the value of the CD when it matured. If their agreement allowed the friend to earn a 11% annual simple interest return on her loan to Leah, how much did Leah receive from her friend? Round your answer to the nearest cent. a. $2,722.88 b. $2,556.27 c. $2,511.85 d. $2,625.93 e. $2,468.94 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM th

15. What is the fourth term of the sequence whose n term is

a. b. c. d. e.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM th

16. Write the sixth term of the sequence whose n term is

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 17. What are d and a1 in the following arithmetic sequence?

7, 12, 17,... a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM

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18. What are the next three terms in the arithmetic sequence 7, 3, –1,...? a. –5, –9, –13 b. 5, 9, 13 c. –1, –5, –9 d. –1, 9, –13 e. 7, 5, 13 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM th

19. Find the 41 term of the arithmetic sequence with first term

and common difference

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 20. Find the 50th term of the arithmetic sequence with first term 24 and tenth term 51. a. 180 b. 177 c. 168 d. 174 e. 171 ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM th

21. Find the sum of the first 62 terms of the arithmetic sequence with first term 7 and 62 term 265. Round your

answer to one decimal place. a. 8,432.0 b. 8,840.0 c. 8,160.0 d. 9,792.0 e. 7,480.0 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 22. Find the sum of the first 217 terms of the arithmetic sequence 13, 9, 5,... a. –89,838 b. –93,093 c. –90,923 d. –87,668 e. –95,263 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 23. Suppose you are offered a job paying a starting salary of $23,000 with yearly raises of $500. How much will

you receive for your 15th year on the job? a. $31,000 b. $30,000 c. $29,000 d. $30,500 Copyright Cengage Learning. Powered by Cognero.

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e. $26,500 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 24. A new firm loses $1,800 in its first month, but its profit increases by $600 in each succeeding month for the

rest of its first year. What is its profit in the twelfth month? a. $10,800 b. $4,800 c. $5,400 d. $8,400 e. $6,600 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 25. Suppose an employee has a base salary of $22,000 per year and at the end of each year a raise of $1,500 will

be given. Find the employee's total income after the first 3 years. a. $141,000 b. $70,500 c. $72,750 d. $37,500 e. $23,500 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 26. Find S:

. Round your answer to the nearest cent.

a. $29,601.00 b. $437.68 Copyright Cengage Learning. Powered by Cognero.

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c. $11,143.85 d. $4,000.00 e. $1,362.25 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 27. What does the number $26,000 represent in the given equation:

a. periodic rate b. number of periods c. principal value d. future value e. none of these choices ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 28. What interest will be earned if $6,700 is invested for 2 years at an annual rate of 11% compounded

monthly? Round your answer to the nearest cent. a. $9,298.56 b. $7,897.47 c. $8,711.69 d. $8,340.35 e. $82,002.35 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 29. Find the future value if $3,500 is invested for 5 years at an annual rate of 11% compounded quarterly.

Round your answer to the nearest cent. Copyright Cengage Learning. Powered by Cognero.

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a. $4,590.78 b. $4,008.46 c. $6,896.26 d. $7,898.11 e. $6,021.50 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 30. What lump sum should be deposited in an account that will earn at an annual rate of 9%, compounded

quarterly, to grow to $80,000 for retirement in 40 years? Round your answer to the nearest cent. a. $4,607.29 b. $69.90 c. $13,357.48 d. $706.54 e. $2,274.88 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 31. Find the interest that will result if $9,000 is invested at an annual rate of 11%, compounded continuously,

for 7 years. Round your answer to the nearest cent. a. $10,437.90 b. $19,437.90 c. $28,437.90 d. $14,564.10 e. $18,037.49 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM Copyright Cengage Learning. Powered by Cognero.

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32. If $12,000 is invested at an annual rate of 7.5% compounded continuously, find the future value after

7.5 years. Round your answer to the nearest cent. a. $26,802.04 b. $24,240.67 c. $36,962.60 d. $21,060.66 e. $3,327,267.41 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 33. Suppose an individual wants to have $200,000 available for her child’s education. Find the amount that

would have to be invested at annual rate 8%, compounded continuously, if the number of years until college is 15 years. Round your answer to the nearest cent. a. $52,719.43 b. $44,626.03 c. $60,238.84 d. $36,018.46 e. $73,575.89 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 34. How much more interest will be earned if $6,500 is invested for 8 years at an annual rate of 12%

compounded continuously, instead of at 12% compounded quarterly? Round your answer to the nearest cent. a. $16,976.03 b. $3,092.11 c. $237.99 d. $4,726.51 e. $5,778.15 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 35. What is the annual percentage yield (or effective annual rate) for a nominal rate of 7.5% compounded

quarterly? Round your answer to two decimal places. a. 10.38% b. 6.14% c. 8.01% d. 7.71% e. 9.11% ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 36. What is the annual percentage yield (or effective annual rate) for a nominal rate of 11% compounded

continuously? Round your answer to two decimal places. a. 14.74% b. 11.63% c. 10.52% d. 13.00% e. 17.02% ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 37. Rank each interest rate and compounding scheme in order from highest yield to lowest yield. a. 9% compounded semi-annually, 9% compounded monthly, 9% compounded continuously b. 9% compounded monthly, 9% compounded continuously, 9% compounded semi-annually c. 9% compounded continuously, 9% compounded semi-annually, 9% compounded monthly d. 9% compounded continuously, 9% compounded monthly, 9% compounded semi-annually e. 9% compounded semi-annually, 9% compounded continuously, 9% compounded monthly ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 38. If $13,000 had been invested in the Fictious Fund on June 30, 1992, then on June 30, 2001 the investment

would have been worth $52,269.80. What interest rate compounded annually would this investment have earned? Round your answer to two decimal places. a. 33.44% b. 16.72% c. 14.42% d. 18.48% e. 8.36% ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 39. How long (in years) would $700 have to be invested at an annual rate of 9%, compounded continuously, to

amount to $941? Round your answer to two decimal places. a. 3.94 years b. 3.62 years c. 4.27 years d. 1.97 years e. 3.29 years ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 40. To help their son buy a car on his 18th birthday, a boy’s parents invest $1000 on his 11th birthday. If the

investment pays an annual rate of 10% compounded continuously, how much is available on his 18th birthday? Round your answer to the nearest cent. a. $1,594.67 b. $2,013.75 c. $1,792.00 d. $2,398.88 Copyright Cengage Learning. Powered by Cognero.

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e. $3,211.27 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 41. How long does it take for an account containing $9,500 to be worth $24,400 if the money is invested at 12%

compounded monthly? Round your answer to the one decimal place. a. 9.2 years b. 6.6 years c. 7.9 years d. 8.6 years e. 9.9 years ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 42. Suppose Emily Yu deposited $900 in an account that earned simple interest at an annual rate of 9% and left

it there for 6 years. At the end of the 6 years, Emily deposited the entire amount from that account into a new account that earned 9% compounded quarterly. She left the money in this account for 7 years. How much did she have after the 13 years? Round your answer to the nearest cent. a. $2,584.26 b. $3,171.07 c. $2,284.03 d. $2,102.87 e. $4,753.56 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 43. Find the next three terms of the geometric sequence.

4, 8, 16,... Copyright Cengage Learning. Powered by Cognero.

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a. 5, 10, 20,... b. 32, 64, 128,... c. 40, 80, 160,... d. 16, 32, 64,... e. 40, 64, 128,... ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 44. Find the next three terms of the geometric sequence.

16, 4, 1,... a. 0.25, 0.0625, 0.015625,... b. 0.2, 1, 0.04,... c. 0.2, 0.04, 0.008,... d. 25, 1, 0.008,... e. 1, 0.25, 0.0625,... ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 45. What is the 8th term of the geometric sequence with first term 2 and common ratio 2? a. 2 b. 128 c. 4,374 d. 512 e. 256 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM

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46. Write an expression that gives the requested term or sum.

The sum of the first 18 terms of the geometric sequence with first term 7 and common ratio 8. a.

b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 47. Which of the following expresses the sum of the first 39 terms of the geometric sequence

....?

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM Copyright Cengage Learning. Powered by Cognero.

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48. If inflation causes the cost of automobiles to increase by 2.5% each year, what should a car cost today if it

cost $29,000 8 years ago? Round your answer to the nearest cent. a. $38,398.81 b. $37,094.51 c. $36,107.03 d. $35,333.68 e. $34,711.76 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 49. If a population of 8 million begins to increase at a rate of 0.32% each month, in how many months will it be

10 million? Round your answer to two decimal places. a. 83.79 months b. 104.71 months c. 69.84 months d. 90.76 months e. 34.98 months ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM

50. A pump removes

of the water in a container with every stroke. How much water remains in the container 3

after 5 strokes if it originally contained 625 cm ? a. b. c. d.

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e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 51. Suppose a new business makes a $2,000 profit in its first month and has its profit increase by 12% each th

month for the next 2 years. How much profit will the business earn in its 13 month? Round your answer to the nearest cent. a. $8,726.99 b. $7,791.95 c. $9,774.22 d. $6,957.10 e. $2,240.00 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 52. Suppose a new business makes a $1,300 profit in its first month and has its profit increase by 11% each

month for the next 2 years. How much profit will it earn in its first year? Round your answer to the nearest cent. a. $2,952.71 b. $10,286.72 c. $52,240.33 d. $29,527.14 e. $132,826.40 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM

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53. Find S :

. Round your answer to the nearest dollar.

a. S = $1,165,506 b. S = $72,844 c. S = $8,741 d. S = $291,376 e. S = $350,943 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 54. What does 0.04 represent in the following equation?

a. total number of payments(periods) b. interest rate per period c. future value of the annuity d. interest rate per year e. none of these choices ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 55. Find the future value of an ordinary annuity of $64 paid quarterly for 6 years, if the interest rate is 6%,

compounded quarterly. Round your answer to the nearest cent. a. $2,203.29 b. $1,832.55 c. $1,947.00 d. $6,099.21 e. $458.14 ANSWER: POINTS:

b 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 56. A sinking fund is established to discharge a debt of $70,000 in 14 years. If deposits are made at the end of

each 6-month period and interest is paid at the annual rate of 8.5%, compounded semiannually, what is the amount of each deposit? Round your answer to the nearest cent. a. $707.12 b. $927.59 c. $1,347.84 d. $571.32 e. $412.78 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 57. If $5,000 is deposited at the end of each half year in an account that earns an annual rate of 6.8%

compounded semiannually, how long will it be before the account contains $135,000? Round your answer to two decimal places. a. 8.75 half years b. 47.64 half years c. 40.84 half years d. 32.03 half years e. 19.48 half years ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 58. Emily Rideout deposits $2,000 at the end of each of the 5 years she qualifies for an IRA. If she leaves the

money that has accumulated in the IRA account for 25 additional years, how much is in her account at the end of the 30-year period? Assume an annual interest rate of 8.2%, compounded annually. Round your answer to the nearest cent. a. $17,469.67 Copyright Cengage Learning. Powered by Cognero.

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b. $84,494.79 c. $460,841.96 d. $294,502.10 e. $12,746.05 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 59. Suppose that Bob delays starting an IRA for the first 10 years he works but then makes $3,000 deposits at

the end of each of the next 15 years. If the annual interest rate is 8.0%, compounded annually, and if he leaves the money in his account for 5 additional years, how much will be in his account at the end of the 30-year period? Round your answer to the nearest cent. a. $119,686.09 b. $110,820.45 c. $102,611.53 d. $95,010.68 e. $139,601.86 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 60. Find the future value of an annuity due of $2,000 each month for 3 years if the annual interest rate is 10%,

compounded monthly. Round your answer to the nearest cent. a. $18,766.91 b. $53,334.61 c. $109,561.22 d. $68,412.42 e. $84,260.01 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM Copyright Cengage Learning. Powered by Cognero.

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61. A house is rented for $3,300 per quarter, with each quarter's rent payable in advance. If money is worth 8%,

compounded quarterly, and the rent is deposited in an account, what is the future value of the rent for three years? Round your answer to the nearest cent. a. $28,424.68 b. $250,498.07 c. $99,170.32 d. $61,275.48 e. $44,259.90 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 62. What is the size of the payments that must be deposited at the beginning of each 6-month period in an

account that pays an annual rate of 8.8%, compounded semiannually, so that the account will have a future value of $190,000 at the end of 18 years? Round your answer to the nearest cent. a. $16,917.18 b. $6,839.80 c. $377.64 d. $2,157.16 e. $867.68 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 63. Parents agree to invest $450 (at an annual rate of 8%, compounded semiannually) for their son on the

December 31 or June 30 following each semester that he makes the Dean’s List during his 4 years in college. If he makes the Dean’s List in each of the 8 semesters, how much money will his parents have to give him when he graduates? Round your answer to the nearest cent. a. $1,910.91 b. $5,402.75 c. $4,146.40 d. $1,404.72 e. $2,984.84 ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 64. If $1,000 is deposited at the beginning of each quarter into an account that earns 6% compounded quarterly,

how long until the account contains $28,000? Express your answer as a whole number of quadrants. a. 25 quarters b. 24 quarters c. 26 quarters d. 27 quarters e. 21 quarters ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 65. A family wants to have a $240,000 college fund for their children at the end of 19 years. What contribution

must be made at the end of each quarter if their investment pays an annual rate of 8.3%, compounded quarterly? Round your answer to the nearest cent. a. $825.01 b. $10,433.71 c. $4,211.73 d. $1,323.44 e. $2,239.13 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 66. State whether the problem relates to an ordinary annuity or an annuity due. A couple has determined that

they need $300,000 to establish an annuity when they retire in 27 years. How much money should they deposit at the end of each month in an investment plan that pays an annual rate of 11%, compounded monthly, so they will have the $300,000 in 27 years? a. ordinary annuity Copyright Cengage Learning. Powered by Cognero.

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b. annuity due ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 67. A couple has determined that they need $350,000 to establish an annuity when they retire in 24 years. How

much money should they deposit at the end of each month in an investment plan that pays an annual rate of 10%, compounded monthly, so they will have the $350,000 in 24 years? Round your answer to the nearest cent. a. $1,266.11 b. $294.19 c. $460.91 d. $13,234.06 e. $5,960.24 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 68. State whether the problem relates to an ordinary annuity or an annuity due. Mr. Gordon plans to invest $400

at the end of each month in an account that pays an annual rate of 10%, compounded monthly. After how many months will the account be worth $60,000? a. ordinary annuity b. annuity due ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 69. Mr. Alphin plans to invest $450 at the end of each month in an account that pays an annual rate of 12%,

compounded monthly. After how many months will the account be worth $50,000? Round your answer to two decimal places. a. 147.37 months b. 44.40 months Copyright Cengage Learning. Powered by Cognero.

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c. 170.31 months d. 117.59 months e. 75.09 months ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 70. State whether the problem relates to an ordinary annuity or an annuity due. Jane Adele deposits $400 in an

account at the beginning of each 3-month period for 6 years. If the account pays interest at the annual rate of 11%, compounded quarterly, how much will she have in her account after 6 years? a. ordinary annuity b. annuity due ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 71. Gail Kelley deposits $800 in an account at the beginning of each 3-month period for 10 years. If the account

pays interest at the annual rate of 10%, compounded quarterly, how much will she have in her account after 10 years? Round your answer to the nearest cent. a. $36,000.22 b. $151,932.97 c. $55,270.09 d. $79,937.17 e. $111,513.10 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 72. State whether the problem relates to an ordinary annuity or an annuity due. A property owner has several

rental units and wants to build more. How much of each month’s rental income should be deposited at the beginning of each month in an account that earns an annual rate of 7.5%, compounded monthly, if the goal is to have $450,000 at the end of 4 years? Copyright Cengage Learning. Powered by Cognero.

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a. ordinary annuity b. annuity due ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 73. A property owner has several rental units and wants to build more. How much of each month’s rental

income should be deposited at the beginning of each month in an account that earns an annual rate of 7.6%, compounded monthly, if the goal is to have $250,000 at the end of 7 years? Round your answer to the nearest cent. a. $5,181.67 b. $2,249.34 c. $2,831.25 d. $3,709.80 e. $1,836.91 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 74. Suppose a young couple deposits $1,000 at the end of each quarter in an account that earns an annual rate of

6.8%, compounded quarterly, for a period of 6 years. After the 6 years, they start a family and find they can contribute only $600 per quarter. If they leave the money from the first 6 years in the account and continue to contribute $600 at the end of each quarter for the next

years, how much will they have in the account (to

help with their child’s college expenses)? Round your answer to the nearest cent. a. $102,118.73 b. $189,696.59 c. $87,577.86 d. $277,274.44 e. $291,815.31 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 10:52 AM 11/16/2020 10:52 AM

75. A small business owner contributes $4,500 at the end of each quarter to a retirement account that earns an

annual rate of 10.0% compounded quarterly. How long will it be until the account is worth $100,000? Round your answer to the nearest whole number. a. 18 quarters b. 30 quarters c. 40 quarters d. 47 quarters e. 10 quarters ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 76. A small business owner contributes $3,000 at the end of each quarter to a retirement account that earns an

annual rate of 8.0% compounded quarterly. Suppose when the account reaches $500,000, the business owner increases the contributions to $6,000 at the end of each quarter. What will the total value of the account be after 15 more years since when the account reached? Round your answer to the nearest cent. a. $3,009,133.87 b. $3,965,340.02 c. $2,324,824.63 d. $1,640,515.39 e. $684,309.24 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 77. A young executive deposits $200 at the end of each month for 7 years and then increases the deposits. If the

account earns an annual rate of 7.6%, compounded monthly, how much (to the nearest dollar) should each new deposit be in order to have a total of $370,000 after 22 years from the time the deposits were increased? Round your answer to the nearest dollar. a. $268 b. $1,694 c. $1,081 Copyright Cengage Learning. Powered by Cognero.

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d. $732 e. $513 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM

78. Find An:

. Round your answer to the nearest dollar.

a. $1,471 b. $68,033 c. $13,474 d. $24,527 e. $22,488 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 79. What does 70 represent in the following equation?

a. present value of the annuity b. total number of payments(periods) c. interest rate per period d. future value of the annuity e. interest rate per year ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM Copyright Cengage Learning. Powered by Cognero.

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80. How much is needed in an account that earns an annual rate of 7.9% compounded monthly in order to

withdraw $1,300 at the end of each month for 19 years? Round your answer to the nearest cent. a. $104,007.94 b. $170,603.90 c. $162,996.24 d. $153,234.19 e. $140,707.64 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 81. If $71,000 is invested in an annuity that earns an annual rate of 8.0%, compounded quarterly, what payments

will it provide at the end of each quarter for the next 6.5 years? Round your answer to the nearest cent. a. $2,992.03 b. $3,528.65 c. $2,639.15 d. $2,391.20 e. $2,208.75 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 82. A professional athlete invested $1.7 million of a bonus in an account that earns an annual rate of 7.8%,

compounded semiannually. If $81,300 is to be withdrawn at the end of each six months, how long will it be until the account balance is $0? Round your answer to two decimal places. a. 44.18 half-years b. 22.50 half-years c. 15.27 half-years d. 11.66 half-years e. 87.51 half-years ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 83. The following figure shows a graph that compares the present values of two ordinary annuities of $800

quarterly as functions of the number of quarters. One annuity is at an annual rate of 6% compounded quarterly, and the other is at 9% compounded quarterly. What present value is required to purchase an annuity of $800 a quarter for 25 years with an interest rate of 9% compounded quarterly? Check your answer against the graph. Round your answer to the nearest cent.

a. $31,713.39 b. $41,469.10 c. $27,577.08 d. $39,384.00 e. $52,000.00 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 84. The following figure shows a graph that compares the present values of two ordinary annuities of $800

quarterly as functions of the number of quarters. One annuity is at an annual rate of 6% compounded quarterly, and the other is at an annual rate of 9% compounded quarterly. Use the graph below to estimate the difference between the present values of these annuities for 25 years (100 quarters). Copyright Cengage Learning. Powered by Cognero.

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a. $35,000 b. $5,400 c. $30,000 d. $80 e. $9,586 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 85. An annuity consists of payments of $700 at the end of each quarter with an annual rate of 5.7 per cent. Is this

an ordinary annuity or an annuity due? a. annuity due b. ordinary annuity ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM Copyright Cengage Learning. Powered by Cognero.

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86. Suppose an annuity will pay $22,000 at the beginning of each year for the next 9 years. How much money is

needed to start this annuity if it earns 7.5%, compounded annually? Round your answer to the nearest cent. a. $53,511.86 b. $87,597.28 c. $303,160.58 d. $150,860.68 e. $229,547.11 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 87. A year-end bonus of $30,000 will generate how much money at the beginning of each month for the next

year, if it can be invested at 7.48%, compounded monthly? Round your answer to the nearest cent. a. $3,084.58 b. $2,586.32 c. $15,046.60 d. $5,078.00 e. $1,341.35 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 88. Decide whether the problem relates to an ordinary annuity or an annuity due. A trust will provide $9,000 to

a county library at the beginning of each 3-month period for the next 5.5 years. If the money is worth an annual rate of 6%, compounded quarterly, find the amount in the trust when it begins. a. ordinary annuity b. annuity due ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM Copyright Cengage Learning. Powered by Cognero.

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89. A trust will provide $11,000 to a county library at the beginning of each 3-month period for the next 3.5

years. If the money is worth an annual rate of 7.0%, compounded quarterly, find the amount in the trust when it begins. Round your answer to the nearest cent. a. $291,086.16 b. $137,914.05 c. $330,937.62 d. $397,489.90 e. $106,509.50 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 90. Recent sales of some real estate and record profits make it possible for a manufacturer to set aside $880,000

in a fund to be used for modernization and remodeling. How much can be withdrawn from this fund at the beginning of each half year for the next 6 years if the fund earns an annual rate of 7.1%, compounded semiannually? Round your answer to the nearest cent. a. $159,748.30 b. $30,169.01 c. $30,175.98 d. $30,634.80 e. $88,202.85 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 91. As a result of a November 2004 court settlement, Goldman Gadgets agreed to pay $14.2 million to Fender

Motor Company, with $11 million of it going to a Fender charitable trust. If the trust invested this money at an annual rate of 6.4%, compounded annually, how much could be awarded to worthwhile organizations at the end of each year for the next 25 years? Round your answer to the nearest cent. a. $1,023,994.06 b. $705,426.56 c. $710,778.16 d. $737,149.28 e. $893,469.35 Copyright Cengage Learning. Powered by Cognero.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 92. Suppose Becky has her choice of $20,000 at the end of each month for life or a single prize of $1.5 million.

She is 35 years old and her life expectancy is 40 more years. Find the present value of the annuity if money is worth an annual rate of 8.2%, compounded monthly. Round your answer to the nearest cent. a. $1,229,404.40 b. $2,067,752.40 c. $2,492,045.33 d. $2,815,462.29 e. $2,706,782.52 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 93. Suppose Becky has her choice of $10,000 at the end of each month for life or a single prize of $1.5 million.

She is 35 years old and her life expectancy is 40 more years. If she takes the $1.5 million, spends $700,000 of it, and invests the remainder at an annual rate of 7.2% compounded monthly, what monthly annuity will she receive for the next 40 years? Round your answer to the nearest cent. a. $508.81 b. $5,088.09 c. $54,060.93 d. $1,908.03 e. $7,632.13 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 94. Decide whether the problem relates to an ordinary annuity or an annuity due. A retiree inherits $90,000 and

invests it at an annual rate of 6.3%, compounded monthly, in an annuity that provides an amount at the end of each month for the next 20 years. Find the monthly amount. Copyright Cengage Learning. Powered by Cognero.

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a. Ordinary annuity b. Annuity due ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 95. A retiree inherits $81,000 and invests it at an annual rate of 7.4%, compounded monthly, in an annuity that

provides an amount at the end of each month for the next 17 years. Find the monthly amount. Round your answer to the nearest cent. a. $3,497.38 b. $7,695.07 c. $2,098.15 d. $698.92 e. $558.99 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 96. Suppose that Craig Nordstrom deposits his $11,000 bonus in an account that earns an annual rate of 7.5%,

compounded quarterly, and makes additional deposits of $400 at the end of each quarter for the next 19.5 years, until he retires. How much is in the account after the last deposit is made? Round your answer to the nearest cent. a. $163,209.25 b. $69,518.40 c. $46,845.42 d. $22,672.97 e. $116,363.82 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 97. Suppose that Ian Greitzer deposits his $12,500 bonus in an account that earns an annual rate of 9.0%, Copyright Cengage Learning. Powered by Cognero.

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compounded quarterly, and makes additional deposits of $700 at the end of each quarter for the next 21.5 years, until he retires. How much was deposited? Round your answer to the nearest cent. a. $1,170,682.14 b. $30,357.79 c. $264,446.66 d. $300,472,027.59 e. $25,893.34 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 98. Suppose that Tom Martin deposits his $10,500 bonus in an account that earns an annual rate of 8.5%,

compounded quarterly, and makes additional deposits of $400 at the end of each quarter for the next 20.5 years, until he retires. To supplement his retirement, Tom wants to make withdrawals at the end of each quarter for the next 13 years (at which time the account balance will be $0). What is the amount of each withdrawal? Round your answer to the nearest cent. a. $3,383.69 b. $3,630.37 c. $4,654.10 d. $3,255.63 e. $3,104.64 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 99. Suppose that Scott Andrews deposits his $13,000 bonus in an account that earns an annual rate of 8.5%,

compounded quarterly, and makes additional deposits of $500 at the end of each quarter for the next 18.5 years, until he retires. To supplement his retirement, Scott wants to make withdrawals at the end of each quarter for the next 11 years (at which time the account balance will be $0). What is the total amount withdrawn? Assume the interest rate remains the same during Scott's retirement. Round your answer to the nearest cent. a. $677,448.62 b. $140,580.64 c. $151,814.30 d. $174,446.29 e. $231,783.40 Copyright Cengage Learning. Powered by Cognero.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 100. A young couple wants to have a college fund that will pay $40,000 at the end of each half-year for 7 years.

If they can invest at annual rate of 8%, compounded semiannually, how much do they need to invest at the end of each 6-month period for the next 18 years in order to begin making their college withdrawals 6 months after their last investment? Round your answer to the nearest cent. a. $8,973.81 b. $5,445.03 c. $17,829.93 d. $4,232.59 e. $2,644.52 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 101. A recent college graduate begins a savings plan at age 27 by investing $300 at the end of each month in an

account that earns an annual rate of 7.4%, compounded monthly. If this plan is followed for 10 years, how much should the monthly contributions be for the next 28 years in order to be able to withdraw $10,000 at the end of each month from the account for the next 25 years? Round your answer to the nearest cent. a. $1,309.54 b. $846.95 c. $3,626.47 d. $348.13 e. $138.77 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 102. A recent college graduate begins a savings plan at age 27 by investing $300 at the end of each month in an

account that earns an annual rate of 7.8%, compounded monthly. Suppose this plan is followed for 10 years, and Copyright Cengage Learning. Powered by Cognero.

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that sufficient equal monthly contributions are made for the next 28 years in order to be able to withdraw $10,000 at the end of each month from the account for the next 25 years. What is the total amount contributed? Round your answer to the nearest cent. a. $270,489.14 b. $200,700.71 c. $245,365.31 d. $130,912.27 e. $294,489.14 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 103. A recent college graduate begins a savings plan at age 27 by investing $400 at the end of each month in an

account that earns an annual rate of 7.6%, compounded monthly. Suppose this plan is followed for 10 years, and that sufficient equal monthly contributions are made for the next 28 years in order to be able to withdraw $10,000 at the end of each month from the account for the next 25 years. What is the total amount withdrawn? Round your answer to the nearest dollar. a. $3,019,000 b. $3,000,000 c. $2,981,000 d. $6,019,000 e. $9,019,000 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 104. Find the present value of an annuity of $1,600, at the end of each quarter for 7 years after being deferred

for 6 years, if the money is worth an annual rate of 8.4% compounded quarterly. Round your answer to the nearest cent. a. $26,193.79 b. $23,122.99 c. $16,363.33 d. $20,412.18 e. $11,680.47 ANSWER:

Page 695

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 105. A grateful alumnus wishes to provide a scholarship of $2,400 per year for 4 years to his alma mater, with

the first scholarship awarded on his 60th birthday. If the money is worth an annual rate of 5.9%, compounded annually, how much money must he donate on his 50th birthday? Round your answer to the nearest cent. a. $1,409.77 b. $2,970.27 c. $7,018.35 d. $7,432.43 e. $4,975.76 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 106. Christine Parks received a trust fund inheritance of $9,000 on her 20th birthday. She plans to use the money

to supplement her income with 28 quarterly payments beginning on her 50th birthday. If the money is worth an annual rate of 6.8% compounded quarterly, how much will each quarterly payment be? Round your answer to the nearest cent. a. $3,700.53 b. $3,022.82 c. $4,685.52 d. $5,184.22 e. $1,345.88 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 107. Given 5 and 20 year loans with the same interest rate, the 20 year loan results in more of each payment

being directed toward principal. a. True b. False Copyright Cengage Learning. Powered by Cognero.

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ANSWER: False POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 108. Given 10 and 20 year loans with the same interest rate, the 20 year loan results in a lower periodic

payment. a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 109. For equipment upgrades, a business borrowed $200,000 at an annual rate of 9%, compounded

semiannually, for 5 years. What are the semiannual payments? Round your answer to the nearest cent. a. $9,000.00 b. $11,454.09 c. $25,275.76 d. $15,375.23 e. $209,000.00 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 110. AdriAnne and Anna’s Auto Repair wants to add a new service bay. How much can they borrow at an

annual rate of 7%, compounded quarterly, if the desired quarterly payment is $5,900? Assume a loan period of 4.5 years. Round your answer to the nearest cent. a. $98,842.00 b. $63,363.34 c. $90,428.49 d. $81,717.93 e. $72,699.83 ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 111. Which table shows a correct amortization schedule for the loan described?

$34,000 for

years at an annual rate of 10% compounded semiannually

Period

Payment

Interest

Balance Reduction

1 2 3 4 5

$7,853.14 27,846.86 21,386.06 14,602.22 7,479.18

$6,153.14 $1,700.00 6,460.80 1,392.34 6,783.84 1,069.30 7,123.03 730.11 7,479.18 373.96

Period

Payment

Interest

1 2 3 4 5

$7,853.14 7,853.14 7,853.14 7,853.14 7,853.14

$6,153.14 $1,700.00 6,460.80 1,392.34 6,783.84 1,069.30 7,123.03 730.11 7,479.18 373.96

Period

Payment

Interest

1 2 3 4 5

$7,853.14 7,853.14 7,853.14 7,853.14 7,853.14

$1,700.00 $6,153.14 1,392.34 6,460.80 1,069.30 6,783.84 730.11 7,123.03 373.96 7,479.18

Period

Payment

Interest

Balance Reduction

1 2

$7,853.14 7,853.14

$6,153.14 6,460.80

$373.96 730.11

Unpaid Balance $34,000 7,853.14 7,853.14 7,853.14 7,853.14 ---

Balance Reduction

Unpaid Balance $34,000 27,846.86 21,386.06 14,602.22 7,479.18 ---

Balance Reduction

Unpaid Balance $34,000 27,846.86 21,386.06 14,602.22 7,479.18 ---

Unpaid Balance $34,000 27,846.86 21,386.06 Page 698

3 4 5

7,853.14 7,853.14 7,853.14

6,783.84 7,123.03 7,479.18

1,069.30 1,392.34 1,700.00

14,602.22 7,479.18 ---

Period

Payment

Interest

Balance Reduction

1 2 3 4 5

$6,153.14 6,460.80 6,783.84 7,123.03 7,479.18

$7,853.14 $1,700.00 7,853.14 1,392.34 7,853.14 1,069.30 7,853.14 730.11 7,853.14 373.96

Unpaid Balance $34,000 7,479.18 14,602.22 21,386.06 27,846.86 ---

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 112. A debt of $8,600 is to be amortized with 8 equal semiannual payments of $1,357.63. If the annual interest

rate is 11% compounded semiannually, find the unpaid balance immediately after the 6th payment. Round your answer to the nearest cent. a. $137.86 b. $2,506.62 c. $92,744.90 d. $4,758.70 e. $6,782.08 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 113. A small business borrowed $80,000 for 10 years at an annual rate of 12%, compounded semiannually, in

order to update some equipment. Find the payoff amount just after the company makes the 10th semiannual payment of $6,974.76. Round your answer to the nearest cent. a. $109,935.20 b. $104,944.31 c. $96,006.39 Copyright Cengage Learning. Powered by Cognero.

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d. $79,999.95 e. $51,334.84 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 114. A woman buys an apartment house for $1,250,000 by making a down payment of $125,000 and amortizing

the rest of the debt with semiannual payments over the next 10 years. The annual interest rate on the debt is 8%, compounded semiannually. Find the size of each payment. Round your answer to the nearest cent. a. $1,125,013.59 b. $82,779.47 c. $1,124,986.41 d. $7,644,558.57 e. $5,096,372.38 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 115. A woman buys an apartment house for $1,250,000 by making a down payment of $375,000 and amortizing

the rest of the debt with semiannual payments over the next 10 years. The annual interest rate on the debt is 7.0%, compounded semiannually. Find the total amount paid over the life of the loan (excluding the down payment). Round your answer to the nearest cent. a. $4,925,275.37 b. $615,659.42 c. $3,693,956.53 d. $1,231,318.84 e. $2,462,637.69 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 116. A woman buys an apartment house for $1,250,000 by making a down payment of $275,000 and amortizing Copyright Cengage Learning. Powered by Cognero.

Page 700

the rest of the debt with semiannual payments over the next 9 years. The annual interest rate on the debt is 7.5%, compounded semiannually. Find the total interest paid over the life of the loan. Round your answer to the nearest cent. a. $383,310.66 b. $1,358,310.66 c. $1,062,465.99 d. $295,844.67 e. $5,816,553.30 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 117. A woman buys a car for $40,000. If the interest rate on the loan is 12%, compounded monthly, and if she

wants to make monthly payments of $800 for 2 years, how much must she have for a down payment? Round your answer to the nearest dollar. a. $29,301 b. $27,573 c. $23,005 d. $21,659 e. $26,075 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 118. A developer wants to buy a certain parcel of land. The developer feels she can afford payments of $29,000

each half-year for the next 8 years. How much can she borrow and hold to this budget at an annual rate of 7.8% compounded semianually? Round your answer to the nearest cent. a. $524,996.94 b. $340,423.07 c. $656,320.20 d. $696,273.10 e. $196,058.37 ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 119. A company that purchases a piece of equipment by borrowing $450,000 for 12 years at an annual rate of

6.5%, compounded monthly, has monthly payments of $4,508.64. Find the unpaid balance on this loan after 1 year. Round your answer to the nearest cent. a. $372,907.57 b. $424,391.83 c. $314,926.22 d. $249,627.90 e. $491,006.20 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 120. A company that purchases a piece of equipment by borrowing $350,000 for 8 years at annual rate of 8.5%,

compounded monthly, has monthly payments of $5,037.25. During the first year, how much interest does the company pay? Round your answer to the nearest cent. a. $28,525.41 b. $92,368.47 c. $43,637.14 d. $53,711.63 e. $73,860.61 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 121. A recent college graduate buys a new car by borrowing $25,000 at 7.2%, compounded monthly, for

5 years. She decides to pay an extra $12 per payment. How many payments (that include the extra $12) will she make, including the final partial payment? a. 52 b. 66 c. 71 Copyright Cengage Learning. Powered by Cognero.

Page 702

d. 59 e. 62 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 122. A young couple buying their first home borrows $82,000 for 25 years at 8.8%, compounded monthly, and

makes payments of $676.95. After 4 years, they are able to make a one-time payment of $4,000 along with their th 48 payment. How much will the couple save over the life of the loan by paying the extra $4,000? Round your answer to the nearest dollar. a. $379,492 b. $26,678 c. $18,678 d. $314,505 e. $37,356 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 123. A debt of $100,000 is amortized at 6%, compounded monthly, over 25 years with 300 monthly payments of

$644.30 each. The figure below includes two graphs: one shows the total amount paid (in monthly payments) as a function of time (in months), and the other shows the amount paid toward the principal of the debt as a function of time.

Page 703

Which of the answers represents how much interest will be paid on the debt after 250 months? a.

, where A is the area between the two curves. b. The area between the two curves. c. The length of the vertical line segment from the lower curve to the upper curve at

d. The length of the upper graph from the origin to the point with x-coordinate 250. e. The area below the lower curve. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 124. Find the payment size and the total interest paid over the life of the loan of $100,000 at 12% under the

following condition. Payments are monthly, and the rate is 12%, compounded monthly for 15 years. Round your answers to the nearest cent. a. Payment size is $1,289.99 and the total interest paid is $116,030.60. b. Payment size is $1,119.30 and the total interest paid is $316,030.60. c. Payment size is $1,289.99 and the total interest paid is $316,030.60. d. Payment size is $1,200.17 and the total interest paid is $116,030.60. e. Payment size is $1,119.30 and the total interest paid is $80,025.50. ANSWER: POINTS:

d 1

Page 704

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 125. Time-share sales provide an opportunity for vacationers to own a resort condo for 1 week (or more) each

year forever. The owners may use their week at their own condo or trade the week and vacation elsewhere. Timeshare vacation sales usually require payment in full or financing through the time-share company, and interest rates are usually in the 13% to 18% range. Suppose the cost to buy a 1-week time share in a 3-bedroom condo is $24,100. Also suppose a 8% down payment is required, with the balance financed for 13 years at an annual rate of 13.1%, compounded monthly. Find the monthly payment. Round your answer to the nearest cent. a. $141.83 b. $399.71 c. $193.41 d. $296.56 e. $348.13 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 126. Time-share sales provide an opportunity for vacationers to own a resort condo for 1 week (or more) each

year forever. The owners may use their week at their own condo or trade the week and vacation elsewhere. Timeshare vacation sales usually require payment in full or financing through the time-share company, and interest rates are usually in the 13% to 18% range. Suppose the cost to buy a 1-week time share in a 3-bedroom condo is $22,100. Also suppose a 11% down payment is required, with the balance financed for 17 years at an annual rate of 14.7%, compounded monthly. Determine the total amount paid for the condo. Round your answer to the nearest cent. a. $57,678.25 b. $57,099.44 c. $56,665.33 d. $56,327.69 e. $56,057.58 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM Copyright Cengage Learning. Powered by Cognero.

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127. During four years of college, Nolan MacGregor’s student loans are $4,300, $4,300, $4,200, and $3,800 for

year during the first year, then for 3 full years until graduation.

Make similar assumptions for the loans for the other years. Round your answer to the nearest cent. a. $17,845.68 b. $17,071.51 c. $17,242.22 d. $17,454.41 e. $18,057.87 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 128. During four years of college, Nolan MacGregor’s student loans are $4,100, $4,800, $4,600, and $3,700 for

freshman year through senior year, respectively. Each loan amount gathers interest of annual rate 1%, compounded quarterly while Nolan is in school; and an annual rate of 3%, compounded quarterly during a 6month grace period after graduation. Assume the freshman year loan earns an annual rate of 1% interest for year during the first year, then for 3 full years until graduation. Make similar assumptions for the loans for the other years. After the grace period, the loan is amortized over the next 10 years at an annual rate of 3%, compounded quarterly. Find the quarterly payment. Round your answer to the nearest cent. a. $298.57 b. $469.86 c. $172.87 d. $1,409.58 e. $518.60 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 129. During four years of college, Nolan MacGregor’s student loans are $3,600, $5,000, $3,800, and $3,500 for

freshman year through senior year, respectively. Each loan amount gathers interest of annual rate 1% compounded quarterly while Nolan is in school; and annual rate of 3%, compounded quarterly during a 6Copyright Cengage Learning. Powered by Cognero.

Page 706

month grace period after graduation. Assume the freshman year loan earns an annual rate of 1% interest for year during the first year, then for 3 full years until graduation. Make similar assumptions for the loans for the other years. After the grace period, the loan is amortized over the next 10 years at an annual rate of 3%, compounded quarterly. If Nolan decides to pay an additional $90 above the calculated quarterly payment, how many payments of this size will amortize the debt? Round your answer to the nearest whole number. a. 33 quarters b. 98 quarters c. 10 quarters d. 30 quarters e. 16 quarters ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 130. During four years of college, Nolan MacGregor’s student loans are $4,900, $4,600, $3,800, and $4,500 for

freshman year through senior year, respectively. Each loan amount gathers interest of annual rate of 1%, compounded quarterly while Nolan is in school; and an annual rate of 3%, compounded quarterly during a 6month grace period after graduation. Assume the freshman year loan earns an annual rate of 1% interest for year during the first year, then for 3 full years until graduation. Make similar assumptions for the loans for the other years. After the grace period, the loan is amortized over the next 10 years at an annual rate of 3%, compounded quarterly. Suppose Nolan decides to pay an additional $90 above the calculated quarterly payment, how much will Nolan save by paying the extra $90 with each payment? Round your answer to the nearest cent. a. $4,094.27 b. $2,094.27 c. $1,294.27 d. $42,447.58 e. $494.27 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM 131. Use a spreadsheet or financial program on a calculator or computer to develop the first two rows of an

amortization schedule for a 5-year car loan if $15,300 is borrowed at 8.0%, compounded monthly. a. Copyright Cengage Learning. Powered by Cognero.

Page 707

Period

Payment

Interest

1 2

$0.00 $310.23 $310.23

$0.00 $1,224.00 $1,223.02

Period

Payment

Interest

1 2

$0.00 $310.23 $310.23

$0.00 $102.00 $100.61

Period

Payment

Interest

1 2

$0.00 $310.23 $310.23

$0.00 $102.00 $1,223.02

Period

Payment

Interest

1 2

$0.00 $1,236.21 $1,236.21

$0.00 $1,224.00 $100.61

Period

Payment

Interest

1 2

$0.00 $1,236.21 $1,236.21

$0.00 $102.00 $1,223.02

Balance Reduction $0.00 $12.21 $121,066.11

Unpaid Balance

Balance Reduction $0.00 $208.23 $209.62

Unpaid Balance

Balance Reduction $0.00 $208.23 $209.62

Unpaid Balance

Balance Reduction $0.00 $12.21 $209.62

Unpaid Balance

Balance Reduction $0.00 $12.21 $209.62

Unpaid Balance

$15,300 $15,287.79 $105,778.32

$15,300 $15,091.77 $14,882.15

$15,300 $15,091.77 $105,778.32

$15,300 $15,287.79 $14,882.15

$15,300 $15,091.77 $105,778.32

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 10:52 AM DATE MODIFIED: 11/16/2020 10:52 AM

1. One ball is drawn at random from a bag containing 11 red R balls and 2 white W balls. What is the probability

that the ball is red?

Page 708

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 2. One ball is drawn at random from a bag containing 11 red R balls and 9 white W balls. What is the probability

that the ball is green G? a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 3. One ball is drawn at random from a bag containing 6 red R balls and 10 white W balls. What is the probability

that the ball is red or white? a. b.

Page 709

c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 4. If you draw one card at random from a deck of 6 cards numbered 1 through 6, inclusive, what is the

probability that the number you draw is divisible by 2? a. Pr(Divisible By 2) = 0 b. c. d. e.

Pr(Divisible By 2) = Pr(Divisible By 2) = Pr(Divisible By 2) = Pr(Divisible By 2) =

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 5. An ordinary die is tossed. What is the probability of getting a 5 or a 4? a. b. c. d.

Pr(3 or 4) = Pr(3 or 4) = Pr(3 or 4) = Pr(3 or 4) =

e. Pr(3 or 4) = 1 ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 6. An urn contains four red R balls numbered 1, 2, 3 and 4, five white W balls numbered 5, 6, 8 and 9, and

three black B balls numbered 10, 11 and 12. A ball is drawn from the urn. What is the probability that it is red? a. b. c. d. e.

P(R) = P(R) = P(R) = P(R) = P(R) =

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 7. An urn contains two red balls numbered 1 and 2, five white balls numbered 3, 4, 5, 6 and 7, and three black

balls numbered 8, 9 and 10. A ball is drawn from the urn. What is the probability that it is an odd-numbered ball O? a. b. c. d. e.

Pr(O) = Pr(O) = Pr(O) = Pr(O) = Pr(O) =

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 8. An urn contains two red R balls numbered 1 and 2, four white W balls numbered 3, 4, 5 and 6, and three black Copyright Cengage Learning. Powered by Cognero.

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B balls numbered 7, 8 and 9 A ball is drawn from the urn. What is the probability that it is red and oddnumbered O? a. b. c.

Pr(R and O) = Pr(R and O) = Pr(R and O) =

d. Pr(R and O) = 0 e.

Pr(R and O) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 9. An urn contains two red R balls numbered 1 and 2, five white W balls numbered 3, 4, 5, 6 and 7, and three

black B balls numbered 8, 9 and 10. A ball is drawn from the urn. What is the probability that it is red or oddnumbered O? a. b. c. d. e.

Pr(R or O) = Pr(R or O) = Pr(R or O) = Pr(R or O) = Pr(R or O) =

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 10. An urn contains two red R balls numbered 1 and 2, four white W balls numbered 3, 4, 5 and 6, and

three black B balls numbered 7, 8 and 9. A ball is drawn from the urn. What is the probability that it is not black? a.

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b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 11. From a deck of 52 ordinary playing cards, one card is drawn. What is the probability that it is a queen (Q)? a. b. c. d. e.

Pr(Q) = Pr(Q) = Pr(Q) = Pr(Q) = Pr(Q) =

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 12. Suppose a fair coin is tossed 7 times. What is the probability of flipping exactly 5 heads? a. b. c. d. e.

Pr(5 heads) = Pr(5 heads) = Pr(5 heads) = Pr(5 heads) = Pr(5 heads) =

ANSWER:

Page 713

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 13. If a pair of dice, one green and one red, is rolled, what is the probability that the sum of the two dice is a

number between 5 and 9, inclusive? a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 14. Suppose a die is tossed 1,500 times and a 2 comes up 663 times. Find the empirical probability for a 2 to

occur. On the basis of a comparison of the empirical probability and the theoretical probability, do you think the die is fair or biased? a.

The die is biased since Pr(2) should be about

The die is fair since Pr(2) should be about Copyright Cengage Learning. Powered by Cognero.

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The die is fair since Pr(2) should be about

, what are the odds against the event occurring?

a. 1 : 9 b. 9 : 1 c. 1 : 10 d. 10 : 1 e. 9 : 10 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 16. If the odds that a particular horse will win a race are 12 : 7, what is the probability that the horse will win the

race? a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 11:00 AM

17. Seventy-five percent of marijuana use among youth occurs in the inner cities. If an instance of such

marijuana use is chosen at random, what is the probability, rounded to two decimal places, that the use occurs in an inner city? a. Pr(Inner city) = 0.8 b. Pr(Inner city) = 0.75 c. Pr(Inner city) = 0.6 d. Pr(Inner city) = 0.65 e. Pr(Inner city) = 0.7 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 18. The following table gives the average number of voters in each of three political parties during the last 12

years, along with the average number that voted in presidential elections during this period. Use these data to find the probability, rounded to two decimal places, that a person selected at random from the registered Independent voters will vote in the next election.

Republican Registered voters Voted

4700 1188

Political Party Democratic Independent 3700 1606

2500 1535

a. Pr(Independent will vote) = 0.25 b. Pr(Independent will vote) = 0.61 c. Pr(Independent will vote) = 0.43 d. Pr(Independent will vote) = 0.39 e. Pr(Independent will vote) = 0.75 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 19. In a sales promotion, a clothing store gives its customers a chance to draw a ticket from a box that contains a

discount on their next purchase. The box contains 9000 tickets giving a 10% discount, 900 giving a 30% discount, 450 giving a 50% discount, and 7 giving a 100% discount. What is the probability that a given customer will randomly draw a ticket giving a 50% discount? Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e.

Pr(50%) = Pr(50%) = Pr(50%) = Pr(50%) = Pr(50%) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 20. A dry cleaning firm has 8 employees: 2 women and 6 men. 1 of the women and 3 of the men are 42 years

old or older. The remainder are over 20 years of age and under 42. If a person is chosen at random from this firm, what is the probability that the person is under 42 years of age? a. b. c. d. e.

Pr(under 42) = Pr(under 42) = Pr(under 42) = Pr(under 42) = Pr(under 42) =

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 21. Five percent of the population of the United States has type AB blood. What is the probability, rounded to

two decimal places, that a U.S. resident chosen at random will not have type AB blood? a. Pr(Not AB) = 0.95 b. Pr(Not AB) = 0.05 c. Pr(Not AB) = 0.55 d. Pr(Not AB) = 0.50 Copyright Cengage Learning. Powered by Cognero.

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e. Pr(Not AB) = 0.88 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 22. A company selling substandard drugs to developing countries sold 1,500,000 capsules with 300,000 of them

empty. What is the probability that a person who takes a randomly chosen capsule from this company will get an empty capsule? a. b. c.

Pr(Empty) = Pr(Empty) = Pr(Empty) =

d. Pr(Empty) = 5 e.

Pr(Empty) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 23. A computer store offers used computers free to local middle schools. Of the 66 machines available, 9 have

defective memories, 7 have defective keys, and the remainder have no defects. If a teacher picks one at random, what is the probability that she will select a defective computer? a. b. c. d. e.

Pr(Defective) = Pr(Defective) = Pr(Defective) = Pr(Defective) = Pr(Defective) =

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 24. A frustrated store manager is asked to make three different yes-no decisions that have no relation to each

other. Because he is impatient to leave work, he flips a coin for each decision. If the correct decision in each case was yes, what is the probability that all of his decisions were correct? a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 25. Suppose a country has 1,000,000 registered voters, 410,000 of whom are Democrats and 310,000 of whom

are Republicans. If a registered voter is chosen at random, what is the probability that he or she is neither a Democrat nor a Republican? a. Pr(neither Democrat nor Republican) = 0.7200 b. Pr(neither Democrat nor Republican) = 0.2800 c. Pr(neither Democrat nor Republican) = 0.9000 d. Pr(neither Democrat nor Republican) = 0.5900 e. Pr(neither Democrat nor Republican) = 0.3100 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 26. If the probability of rain today is 57%, what are the odds against rain today? a. 57 : 43 b. 43 : 57 Copyright Cengage Learning. Powered by Cognero.

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c. 60 : 47 d. 59 : 47 e. none of these choices ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 27. An ordinary die is tossed. What is the probability of getting an even number or a number divisible by 6? a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 28. If the probability that event E will occur is , what is the probability that E will not occur? a.

Pr(E') =

b. Pr(E') = 7 c. d.

Pr(E') = Pr(E') =

e. Pr(E') = 8 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:00 AM 11/16/2020 11:00 AM

29. A bag contains 12 red balls numbered 1-12 and 13 white balls numbered 13-25. If a ball is drawn, what is

the probability that the ball is red R and even-numbered E? a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 30. A bag contains 8 red balls numbered 1-8 and 7 white balls numbered 9-15. If a ball is drawn, what is the

probability that the ball is red R or even-numbered E? a. b. c. d. e.

Pr(R∪ E) = Pr(R∪ E) = Pr(R∪ E) = Pr(R∪ E) = Pr(R∪ E) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 31. Suppose a die is biased (unfair) so that each odd-numbered face has probability

even face has probability

of resulting, and each

of resulting. Find the probability of getting a number greater than 1.

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a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 32. A card is drawn from an ordinary deck of 52 playing cards. What is the probability that it will be a king (K),

ace (A), or jack (J)? a. b. c. d. e.

Pr(K or A or J) = Pr(K or A or J) = Pr(Kor A or J) = Pr(K or A or J) = Pr(K or A or J) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 33. A bag contains 6 white, 10 black, and 8 green balls. What is the probability that a ball drawn at random from

the bag is white W or green G? a. b. c.

Pr(W∪ G) = Pr(W∪ G) = Pr(W∪ G) =

Page 722

d. e.

Pr(W∪ G) = Pr(W∪ G) =

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 34. A ball is drawn from a bag containing 5 red balls numbered 1–5 and 14 white balls numbered 6–19. What is

the probability that the number on the ball is odd O? a. b. c. d. e.

Pr(O) = Pr(O) = Pr(O) = Pr(O) = Pr(O) =

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 35. A ball is drawn from a bag containing 3 red balls numbered 1–3 and 6 white balls numbered 4–9. What is

the probability that the ball is red R and even-numbered E? a.

Pr(R∩E) =

ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 36. A ball is drawn from a bag containing 14 red balls numbered 1–14 and 8 white balls numbered 15–22. What

is the probability that the ball is red R or even-numbered E? a. b. c. d. e.

Pr(R∪ E) = Pr(R∪ E) = Pr(R∪ E) = Pr(R∪ E) = Pr(R∪ E) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 37. A ball is drawn from a bag containing 14 red balls numbered 1–14 and 3 white balls numbered 15–17. What

is the probability that the ball is neither red R nor even-numbered E? a.

Pr(R'∩E') =

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 38. A ball is drawn from a bag containing 8 red balls numbered 1–8 and 14 white balls numbered 9–22. What is

the probability that the ball is white W and odd-numbered O? Copyright Cengage Learning. Powered by Cognero.

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Pr(W∩O) =

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 39. A ball is drawn from a bag containing 5 red balls numbered 1–5 and 13 white balls numbered 6–18. What is

the probability that the ball is not red R? a. b. c. d. e.

Pr(R') = Pr(R') = Pr(R') = Pr(R') = Pr(R') =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 40. A ball is drawn from a bag containing 10 red balls numbered 1–10 and 4 white balls numbered 11–14. What

is the probability that the ball is white W or odd-numbered O? a. b. c.

Pr(W∪ O) = Pr(W∪ O) = Pr(W∪ O) =

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d. e.

Pr(W∪ O) = Pr(W∪ O) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 41. According to a recent medical study, 196 of 200 mammograms turn out to be normal. What is the

probability that the mammogram of a woman chosen at random will show an abnormality? a.

Pr(abnormality) =

b. Pr(abnormality) = 196 c. Pr(abnormality) = 4 d. e.

Pr(abnormality) = Pr(abnormality) =

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 42. Of 100 students, 39 can speak French F, 33 can speak German G, and 11 can speak both French and

German. If a student is picked at random, what is the probability that he or she can speak French or German? a. b. c. d. e.

Pr(F∪ G) = Pr(F∪ G) = Pr(F∪ G) = Pr(F∪ G) = Pr(F∪ G) =

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 43. The following table gives the percent of employees of the Ace Company in each of three salary brackets,

categorized by the sex of the employees. An employee is selected at random. What is the probability that the person selected is female and makes less than $30,000? Earns Less Than $30,000 Male Female

32% 23%

Earns at Least $30,000 and Less Than $50,000 9% 21%

Earns at Least $50,000 9% 6%

a. Pr(female∩less than $30,000) = 0.32 b. Pr(female∩less than $30,000) = 0.23 c. Pr(female∩less than $30,000) = 0.50 d. Pr(female∩less than $30,000) = 0.55 e. Pr(female∩less than $30,000) = 0.27 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 44. The following table gives the percent of employees of the Ace Company in each of three salary brackets,

categorized by the sex of the employees. An employee is selected at random. What is the probability that the person selected makes at least $50,000? Earns Less Than $30,000 Male Female

25% 18%

Earns at Least $30,000 and Less Than $50,000 12% 16%

Earns at Least $50,000 13% 16%

a. Pr(at least $50,000) = 0.28 b. Pr(at least $50,000) = 0.43 c. Pr(at least $50,000) = 0.50 d. Pr(at least $50,000) = 0.29 e. Pr(at least $50,000) = 0.46 Copyright Cengage Learning. Powered by Cognero.

Page 727

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 45. The following table gives the percent of employees of the Ace Company in each of three salary brackets,

categorized by the sex of the employees. An employee is selected at random. What is the probability that the person is male or makes less than $30,000? Earns Less Than $30,000 Male Female

28% 27%

Earns at Least $30,000 and Less Than $50,000 15% 15%

Earns at Least $50,000 9% 6%

a. Pr(male∪$30,000) = 0.79 b. Pr(male∪$30,000) = 0.55 c. Pr(male∪$30,000) = 0.24 d. Pr(male∪$30,000) = 0.70 e. Pr(male∪$30,000) = 0.51 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 46. The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various

categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was Hispanic. White, non- Black, nonHispanic Hispanic Hispanic Male 1173 2846 657 Female 300 2616 489

Other 182 75

Total 4858 3480

a. Pr(Hispanic) = 0.6614 b. Pr(Hispanic) = 0.4788 c. Pr(Hispanic) = 0.2781 d. Pr(Hispanic) = 0.0201 Copyright Cengage Learning. Powered by Cognero.

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e. Pr(Hispanic) = 0.1374 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 47. The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various

categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was female. White, non- Black, nonHispanic Hispanic Hispanic Male 1361 2905 368 Female 751 2179 420

Other 56 326

Total 4690 3676

a. Pr(female) = 0.5606 b. Pr(female) = 0.4394 c. Pr(female) = 0.5539 d. Pr(female) = 0.3496 e. Pr(female) = 0.6437 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 48. The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various

categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was female or Hispanic. White, non- Black, nonHispanic Hispanic Hispanic Male 1332 2809 302 Female 530 2018 457

Other 146 52

Total 4589 3057

a. Pr(female∪Hispanic) = 0.2256 b. Pr(female∪Hispanic) = 0.4189 c. Pr(female∪Hispanic) = 0.7672 d. Pr(female∪Hispanic) = 0.4393 e. Pr(female∪Hispanic) = 0.5740 Copyright Cengage Learning. Powered by Cognero.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 49. The following table gives the numbers of AIDS deaths in a single year for people over age 13 in various

categories. Use the table to find the probability, rounded to four decimal places, that a person who died of AIDS in this year was male or black (non-Hispanic). White, non- Black, nonHispanic Hispanic Hispanic Male 1223 2965 282 Female 1166 1522 310

Other 149 91

Total 4619 3089

a. Pr(male∪ black) = 0.4480 b. Pr(male∪ black) = 0.6111 c. Pr(male∪ black) = 0.7967 d. Pr(male∪ black) = 0.7505 e. Pr(male∪ black) = 0.6395 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 50. Suppose that a person groups 14 objects into three groups in such a way that

6 objects are in group A. 6 objects are in group B. 7 objects are in group C. 3 objects are in both group A and group B. 5 objects are in both group B and group C. 4 objects are in both group A and group C. 2 objects are in all three groups. What is the probability that an object chosen at random has been placed in group A or group B? a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. 0 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 51. A mathematics class consists of 9 engineering majors E, 4 science majors S, and 8 liberal arts majors LA.

What is the probability that a student selected at random will be a science or liberal arts major? a. b. c. d. e.

Pr(S∪ LA) = Pr(S∪ LA) = Pr(S∪ LA) = Pr(S∪ LA) = Pr(S∪ LA) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 52. A mathematics class consists of 13 engineering majors E, 12 science majors S, and 15 liberal arts majors LA.

What is the probability that a student selected at random will be an engineering or science major? a. b. c. d. e.

Pr(E∪ S) = Pr(E∪ S) = Pr(E∪ S) = Pr(E∪ S) = Pr(E∪ S) =

ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 53. A mathematics class consists of 17 engineering majors E, 9 science majors S, and 4 liberal arts majors LA.

Twelve of the engineering students, 3 of the science majors, and 3 of the liberal arts majors are female. What is the probability that a student selected at random is an engineering major or is a female F? a. b. c. d. e.

Pr(E∪ F) = Pr(E∪ F) = Pr(E∪ F) = Pr(E∪ F) = Pr(E∪ F) =

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 54. The probability that a wife W watches a certain television show is 0.31, that her husband H watches it is

0.31, and that both watch the show is 0.05. What is the probability, to two decimal places, that either the husband or the wife watches this show? a. Pr(H∪ W) = 0.31 b. Pr(H∪ W) = 0.05 c. Pr(H∪ W) = 0.67 d. Pr(H∪ W) = 0.57 e. Pr(H∪ W) = 0.62 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 55. A card is drawn from an ordinary deck of 52 playing cards. Given that it is a jack(J), queen(Q) or king(K),

what is the probability that a jack was drawn?

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a. b. c. d.

Pr(J | J, Q, K) = Pr(J | J, Q, K) = Pr(J |J, Q, K) = Pr(J | J, Q, K) =

e. Pr(J | J, Q, K) = 0 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 56. A bag contains 14 red balls numbered 1-14 and 3 white balls numbered 15-17. One ball is drawn from the

bag. What is the probability that the ball is red R, given that the ball is even-numbered E? a. b. c. d. e.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 57. A bag contains 14 red balls and 12 white balls. Two balls are drawn without replacement. What is the

probability that the second ball is white W, given that the first ball is red R? a. b. c. d.

Pr(W | R) = Pr(W | R) = Pr(W | R) = Pr(W | R) =

Page 733

Pr(W | R) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 58. A bag contains 7 red balls and 13 white balls. Two balls are drawn without replacement. What is the

probability that the second ball is red R, given that the first ball is white W? a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 59. A bag contains 6 red balls and 3 white balls. Two balls are drawn from the bag. What is the probability that

the second ball is white W, given that the first ball is red and is replaced before the second is drawn? a.

Pr(W) =

b. Pr(W) = 1 c. d. e.

Pr(W) = Pr(W) = Pr(W) =

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:00 AM 11/16/2020 11:00 AM

60. A fair die is rolled. Find the probability that the result is a 2, given that the result is even. a. b. c. d. e. 0 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 61. A fair die is thrown twice. What is the probability that a 1 will result the first time and a 3 the second time? a. b. c. d. e.

Pr(1 first ∩ 3 second) = Pr(1 first ∩ 3 second) = Pr(1 first ∩ 3 second) = Pr(1 first ∩ 3 second) = Pr(1 first ∩ 3 second) =

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 62. A box contains 7 red balls, 4 white balls, and 5 black balls. Two balls are drawn at random from the box

with replacement of the first before the second is drawn.What is the probability of getting a red R ball on the first draw and a white W ball on the second? Copyright Cengage Learning. Powered by Cognero.

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Pr(R first ∩ W second) =

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 63. A box contains 7 red balls, 5 white balls, and 4 black balls. Two balls are drawn at random from the box

without replacement of the first before the second is drawn. What is the probability of getting a red R ball on the first draw and a white W ball on the second? a.

Pr(R first ∩ W second) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 64. A bag contains 6 nickels, 7 dimes, and 3 quarters. If you draw 3 coins at random from the bag, without

replacement, what is the probability that you will get a nickel N, a quarter Q, and a nickel N, in that order? a.

Pr(N first ∩ Q second ∩ N third) =

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Pr(N first ∩ Q second ∩ N third) =

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 65. A red ball and 16 white balls are in a box. If two balls are drawn, without replacement, what is the

probability of getting a red R ball on the first draw and a white W ball on the second? a.

Pr(R first ∩ W second) =

e. Pr(R first ∩ W second) = 1 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 66. A red ball and 22 white balls are in a box. If two balls are drawn, without replacement, what is the

probability of getting 2 white W balls? a. b.

c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 67. A red ball and 17 white balls are in a box. If two balls are drawn, without replacement, what is the

probability of getting 2 red R balls? a. Pr(R first ∩ R second) = 1 b.

Pr(R first ∩ R second) =

e. Pr(R first ∩ R second) = 0 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 68. From a deck of 52 playing cards, two cards are drawn, one after the other without replacement. What is the

probability that the first will be a queen nd the second will be a jack? a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 69. From a deck of 52 playing cards, two cards are drawn, one after the other without replacement. What is the

probability that the first will be a jack and the second will be a queen of the same suit? a. Copyright Cengage Learning. Powered by Cognero.

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b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 70. Two balls are drawn, without replacement, from a bag containing 12 blue balls numbered 1-12 and 7 green

balls numbered 13-19. What is the probability that the first ball is blue and even-numbered and the second ball is even-numbered? a. b. c. 0 d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 71. The following table gives the results of a 2005 survey of 1000 people regarding the funding of universal

health care by employers (employer mandate).

Democrat Republican Total

Favor 325 110 435

Oppose 185 310 495

No Opinion 25 45 70

Total 535 465 1000

What is the probability that a person selected at random from this group will favor universal health care F with an employer mandate, given that the person is a Democrat D? Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 72. Suppose the following table summarizes the opinions of various groups on the issue of increased military

spending.

Opinion Favor Oppose Total

White Reps. Dems. 340 135 60 215 400 350

Nonwhites Reps. Dems. 40 45 10 155 50 200

Total 560 440 1000

Given that a randomly selected individual is nonwhite NW, find the probability that he or she opposes increased military spending O. a. b. c. d. e.

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73. On June 16, 1997, two amateur golfers playing together hit back-to-back holes in one (Source: The Island

Packet, June 19, 1997). Suppose the probability of an amateur golfer getting a hole-in-one is . If the golfers' shots are independent of each other, what is the probability that two amateur golfers will get back-toback holes in one? a.

Pr(hole-in-one ∩ hole-in-one) =

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 74. Forty-eight percent of the U.S. population is female, and 24.1% of the female population have a college

degree. If a U.S. resident is chosen at random, what is the probability, to three decimal places, that the person is a female with a college degree? a. Pr(female ∩ college degree) = 0.241 b. Pr(female ∩ college degree) = 0.721 c. Pr(female ∩ college degree) = 0.024 d. Pr(female ∩ college degree) = 0.116 e. Pr(female ∩ college degree) = 0.048 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 75. Each computer component that the Peggos Company produces is tested twice before it is shipped. There is a

0.7 probability that a defective component will be so identified by the first test and a 0.85 probability that it will be identified as being defective by the second test. What is the probability that a defective component will not be identified as defective before it is shipped? a. Pr(not identified) = 0.595 b. Pr(not identified) = 0.150 Copyright Cengage Learning. Powered by Cognero.

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c. Pr(not identified) = 0.045 d. Pr(not identified) = 0.450 e. Pr(not identified) = 0.255 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 76. If 9% of all light bulbs a company manufactures are defective, the probability of any one bulb being

defective is 0.09. What is the probability that two bulbs drawn independently from the company's stock will be defective? Round your answer to eight decimal places. a. 0.81000000 b. 0.00072900 c. 0.09000000 d. 0.00810000 e. 0.00000000 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 77. A company estimates that 65% of the country has seen its commercial and that if a person sees its

commercial, there is a 30% probability that the person will buy its product. What is the probability that a person chosen at random in the country will have seen the commercial and bought the product? Round your answer to four decimal places. a. 0.0217 b. 0.3500 c. 0.3000 d. 0.6500 e. 0.1950 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM Copyright Cengage Learning. Powered by Cognero.

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78. Thirty-seven percent of the cars owned by a car rental firm have some defect. What is the probability that if

4 cars are selected at random, at least one would have a defect? Round your answer to four decimal places. a. 0.0187 b. 0.1575 c. 0.8425 d. 0.7500 e. 0.9008 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 79. An unprepared student must take a 7-question, multiple-choice test that has 5 possible answers per question.

If the student can eliminate 2 of the possible answers on the first 3 questions, and if she guesses on every question, what is the probability that she will answer every question correctly? a. b. c. d. e.

Pr(all correct) = Pr(all correct) = Pr(all correct) = Pr(all correct) = Pr(all correct) =

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 80. An unprepared student must take a 7-question, multiple-choice test that has 5 possible answers per question.

If the student can eliminate 1 of the possible answers on the first 2 questions, and if she guesses on every question, what is the probability that she will answer every question incorrectly? a. b. c.

Pr(all incorrect) = Pr(all incorrect) = Pr(all incorrect) =

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d. e.

Pr(all incorrect) = Pr(all incorrect) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 81. An unprepared student must take a 7-question, multiple-choice test that has 5 possible answers per question.

If the student can eliminate one of the possible answers on the first four questions, and if she guesses on every question, what is the probability that she will answer at least one question correctly? a. b. c. d. e.

Pr(at least 1 correct) = Pr(at least 1 correct) = Pr(at least 1 correct) = Pr(at least 1 correct) = Pr(at least 1 correct) =

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 82. Assuming there are 365 different birthdays, find the probability that two people chosen at random will have

different birthdays. Round your answer to five decimal places. a. 1.00176 b. 0.87426 c. 0.89726 d. 0.49863 e. 0.99726 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:00 AM 11/16/2020 11:00 AM

83. Assuming there are 365 different birthdays, find the probability that at least two of five people chosen at

random will have same birthdays. Round your answer to five decimal places. a. 0.01853 b. 0.07286 c. 0.94573 d. 0.51357 e. 0.02714 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 84. An urn contains 5 red, 9 white, and 6 black balls. One ball is drawn from the urn, it is replaced, and a second

ball is drawn. Construct a probability tree to determine the probability that both balls are white W. a. b. c. d. e.

Pr(both W) = Pr(both W) = Pr(both W) = Pr(both W) = Pr(both W) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 85. An urn contains 6 red, 8 white, and 3 black balls. One ball is drawn from the urn, it is replaced, and a second

ball is drawn. Construct a probability tree to determine the probability that one ball is white W and one is red R. a.

Pr(one W ∩ one R) =

Page 745

Pr(one W ∩ one R) =

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 86. An urn contains 7 red, 3 white, and 2 black balls. One ball is drawn from the urn, it is replaced, and a second

ball is drawn. Construct a probability tree to determine the probability that at least one ball drawn is black B. a. b. c. d. e.

Pr(at least one B) = Pr(at least one B) = Pr(at least one B) = Pr(at least one B) = Pr(at least one B) =

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 87. Three balls are drawn, without replacement, from a bag containing 7 red balls and 3 white balls. Construct a

probability tree to determine the probability that the third ball drawn is red R. a. b. c. d. e.

Pr(third ball R) = Pr(third ball R) = Pr(third ball R) = Pr(third ball R) = Pr(third ball R) =

ANSWER:

Page 746

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 88. Three balls are drawn, without replacement, from a bag containing 5 red balls and 6 white balls. Construct a

probability tree to determine the probability that three white W balls are drawn. a. b. c. d. e.

Pr(three W) = Pr(three W) = Pr(three W) = Pr(three W) = Pr(three W) =

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 89. Three balls are drawn, without replacement, from a bag containing 3 red balls and 7 white balls. Construct a

probability tree to determine the probability that two white W balls and one red R ball are drawn in any order. a.

Pr(two W ∩ one R) =

Page 747

90. A bag contains 7 white balls and 5 red balls. Three balls are drawn, without replacement, from the bag.

Construct a probability tree to determine the probability that all three balls are white W. a. b. c. d. e.

Pr(three W) = Pr(three W) = Pr(three W) = Pr(three W) = Pr(three W) =

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 91. A bag contains 5 white balls and 9 red balls. Three balls are drawn, without replacement, from the bag.

Construct a probability tree to determine the probability that exactly one white W ball is drawn. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 92. A bag contains 6 white balls W and 6 red balls R. Three balls are drawn, without replacement, from the bag.

Construct a probability tree to determine the probability that at least one white W ball is drawn. a. b.

Pr(at least one W) = Pr(at least one W) =

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c. d. e.

Pr(at least one W) = Pr(at least one W) = Pr(at least one W) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 93. A bag contains 8 coins, of which 7 are fair; the remaining coin has a head on both sides. If a coin is selected

at random from the bag and tossed three times, construct a probability tree to determine the probability that heads will occur at least twice. a. b. c. d. e.

Pr(at least two heads) = Pr(at least two heads) = Pr(at least two heads) = Pr(at least two heads) = Pr(at least two heads) =

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 94. A bag contains 6 white balls and 4 red balls. Construct a probability tree to determine the probability that if

2 balls are drawn,with replacement, the first ball is red R and the second is white W. a.

Pr(R first ∩ W second) =

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 95. A bag contains 7 white balls and 4 red balls. Construct a probability tree to determine the probability that if

2 balls are drawn, with replacement, both balls are red R. a. b. c. d. e.

Pr(both R) = Pr(both R) = Pr(both R) = Pr(both R) = Pr(both R) =

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 96. A bag contains 8 white balls and 7 red balls. Construct a probability tree to determine the probability that if

2 balls are drawn,with replacement, one ball is red R and one is white W. a.

Pr(one R ∩one W) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 11:00 AM

97. A bag contains 6 white balls and 4 red balls. Construct a probability tree to determine the probability that if

2 balls are drawn, with replacement, the first ball is red R or the second is white W. a.

Pr(R first ∪ W second) =

b. Pr(R first ∪ W second) = 1 c. d. e.

Pr(R first ∪ W second) = Pr(R first ∪ W second) = Pr(R first ∪ W second) =

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 98. Each of urns I and II has 3 red balls, 4 white balls, and 3 green balls. Urn III has 2 red balls, 6 white balls,

and 2 green balls. An urn is selected at random and a ball is drawn. If the ball is green G, find the probability that urn III was selected. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 99. Lactose intolerance affects about 30% of non-Hispanic white Americans, 55% of Hispanic Americans, and

85% of African, Asian, and Native Americans. Seventy-five percent of U.S. residents are non-Hispanic whites, 7% of them are Hispanic, and 14% are African, Asian, or Native American. If a person is selected from this group of people, what is the probability, to four decimal places, that the person will be lactose intolerant? Copyright Cengage Learning. Powered by Cognero.

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a. Pr(lactose intolerant) = 0.2635 b. Pr(lactose intolerant) = 0.3825 c. Pr(lactose intolerant) = 0.1575 d. Pr(lactose intolerant) = 0.3440 e. Pr(lactose intolerant) = 0.1725 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 100. Suppose that a marksman hits the bull’s-eye 1 time in 25 shots. If the next 4 shots are independent, find the

probability that all of the next 4 shots hit the bull’s-eye. a. b. c. d. e.

Pr(four bull's-eyes) = Pr(four bull's-eyes) = Pr(four bull's-eyes) = Pr(four bull's-eyes) = Pr(four bull's-eyes) =

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 101. Suppose that a marksman hits the bull’s-eye 1 time in 30 shots. If the next 4 shots are independent, find the

probability that exactly two of the next 4 shots hit the bull’s-eye. a. b. c. d. e.

Pr(two bull's-eyes) = Pr(two bull's-eyes) = Pr(two bull's-eyes) = Pr(two bull's-eyes) = Pr(two bull's-eyes) =

ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 102. Suppose a box contains 2 defective transistors and 15 good transistors. If 2 transistors are drawn from the

box without replacement, what is the probability that the first transistor is good G and the second transistor is defective D? a.

Pr(G first ∩ D second) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 103. Suppose a box contains 3 defective transistors and 19 good transistors. If 2 transistors are drawn from the

box without replacement, what is the probability that the first transistor is defective D and the second one is good G? a.

Pr(D first ∩ G second) =

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:00 AM 11/16/2020 11:00 AM

104. Suppose a box contains 7 defective transistors and 18 good transistors. If 2 transistors are drawn from the

box without replacement, what is the probability that one of the transistors drawn is good G and one of them is defective D? a.

Pr(one G ∩ one D) =

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 105. A small town has 9000 adult males and 4000 adult females. A sociologist conducted a survey and found

that 40% of the males and 30% of the females drink heavily. An adult is selected at random from the town. What is the probability, rounded to four decimal places, that the person is male M? a. Pr(M) = 0.3077 b. Pr(M) = 0.6923 c. Pr(M) = 0.3846 d. Pr(M) = 0.5556 e. Pr(M) = 0.3611 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 106. A small town has 5500 adult males and 6000 adult females. A sociologist conducted a survey and found

that 40% of the males and 30% of the females drink heavily. An adult is selected at random from the town. What is the probability, rounded to four decimal places, that the person drinks heavily DH? a. Pr(DH) = 0.3478 b. Pr(DH) = 0.3522 Copyright Cengage Learning. Powered by Cognero.

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c. Pr(DH) = 0.7130 d. Pr(DH) = 0.1565 e. Pr(DH) = 0.6348 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 107. A small town has 7500 adult males and 6500 adult females. A sociologist conducted a survey and found

that 40% of the males and 30% of the females drink heavily. An adult is selected at random from the town. What is the probability, rounded to four decimal places, that the person is male M or drinks heavily DH? a. Pr(M∪ DH) = 0.7500 b. Pr(M∪ DH) = 0.7214 c. Pr(M∪ DH) = 0.6750 d. Pr(M∪ DH) = 0.6036 e. Pr(M∪ DH) = 0.6786 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 108. A small town has 9500 adult males and 6000 adult females. A sociologist conducted a survey and found

that 40% of the males and 30% of the females drink heavily. An adult is selected at random from the town. What is the probability, rounded to four decimal places, that the person is male M, if it is known that the person drinks heavily DH? a. Pr(M | DH) = 0.3871 b. Pr(M | DH) = 0.8407 c. Pr(M | DH) = 0.3214 d. Pr(M | DH) = 0.6129 e. Pr(M | DH) = 0.6786 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM Copyright Cengage Learning. Powered by Cognero.

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109. A survey questioned 1000 people regarding raising the legal drinking age from 18 to 21. Of the 560 people

who favored raising the legal drinking age, 350 were female. Of the 440 opposition responses, 90 were female. If a person selected at random from this group is a man, what is the probability that the person favors raising the drinking age? a. b. c. d. e.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 110. A self-administered pregnancy test detects 89% of those who are pregnant but does not detect pregnancy in

11%. It is 94% accurate in indicating women who are not pregnant but indicates 6% of this group as being pregnant. Suppose it is known that 1% of the women in a neighborhood are pregnant. If a woman is chosen at random from those living in this neighborhood, and if the test indicates she is pregnant, what is the probability, rounded to four decimal places, that she really is? a. Pr(pregnant | tested pregnant) = 0.1376 b. Pr(pregnant | tested pregnant) = 0.1303 c. Pr(pregnant | tested pregnant) = 0.1498 d. Pr(pregnant | tested pregnant) = 0.1429 e. Pr(pregnant | tested pregnant) = 0.0112 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 111. Compute

a. 19,487,171 b. 77 c. 18 Copyright Cengage Learning. Powered by Cognero.

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d. 1,663,200 e. 1,977,326,743 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 112. Compute

a. 0 b. 1 c. 10 d. 100 e. 1000 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 113. How many two-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 if each digit can be used at

most once in each number? a. 2 b. 36 c. 12 d. 8 e. 30 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 114. How many four-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 if each digit may be used

repeatedly in each number? a. 1,296 Copyright Cengage Learning. Powered by Cognero.

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b. 10 c. 2 d. 360 e. 24 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 115. How many four-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 if the numbers mast be

even and digits are not repeated? (Hint: Begin with the digit where there is a restriction on the choices.) a. 120 b. 60 c. 360 d. 4,096 e. 10 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 116. How many four-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 if the numbers are less than

8,000 and digits are not used repeatedly? (Hint: Begin with the digit where there is a restriction on the choices.) a. 37 b. 257 c. 4,096 d. 240 e. 4,120 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

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117. Find

, find n.

a. 17 b. 15 c. 120 d. 256 e. 80 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 119. Compute

a. 6 b. 2,669 c. 1,330 d. 73 e. 8,436 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

e 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

120. Compute

a. 17 b. 0 c. 1 d. 19 e. 36 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 121. The 2003 Toyota Matrix was first made available with 2 different engines and with 6 levels of trim, plus

either front-wheel or all-wheel drive. How many different Toyota Matrix cars models were available for purchase? a. 8 b. 12 c. 24 d. 4 e. 36 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 122. The 2003 Toyota Matrix was first made available with 2 different engines and with 3 levels of trim, plus

either front-wheel or all-wheel drive. If we include color and there were 6 colors available, how many different Toyota Matrix cars were available for purchase? a. 72 b. 36 c. 11 d. 12 Copyright Cengage Learning. Powered by Cognero.

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e. 20 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 123. Suppose an ice cream store offers 37 flavors of ice cream cones in sizes small, medium, and large. How

many different selections of cones are possible if each cone has one flavor? a. 46,620 b. 111 c. 50,653 d. 7,770 e. 1,369 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 124. Suppose an ice cream store offers 36 flavors of ice cream cones in sizes small, medium, and large. If four

toppings are available to put on a cone, and a cone can be bought without a topping, how many different selections of ice cream are available if each cone has one flavor and one or no toppings? a. 181,398,528 b. 1,296 c. 233,280 d. 6,480 e. 46,656 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 125. If a state wants each of its license plates to contain 7 different digits, how many different license plates can

it make if any of the digits 0 through 9 can appear in any of the 7 positions? a. 5,040 Copyright Cengage Learning. Powered by Cognero.

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b. 604,800 c. 720 d. 151,200 e. 70 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 126. A sailboat owner received 12 different signal flags with his new sailboat. If the order in which the flags are

arranged on the mast determines the signal being sent, how many 2-flag signals can be sent? a. 17,160 b. 1,716 c. 14 d. 24 e. 132 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 127. Five candidates for manager of a department store are ranked according to the weighted average of several

criteria. How many different rankings are possible for the top four candidates if no two candidates receive the same rank? a. 60 b. 625 c. 20 d. 120 e. 9 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

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128. An examination consists of 12 questions. If 7 questions must be answered, find the number of different

orders in which a student can answer the questions. a. 1,663,200 b. 3,991,680 c. 19 d. 84 e. 35,831,808 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 129. A department store manager wants to display 6 brands of a product along one shelf of an aisle. In how

many ways can he arrange the brands? a. 216 b. 36 c. 720 d. 120 e. 5040 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 130. If 12 people are qualified for the next flight to a space station, how many different groups of 4 people can

be chosen for the flight? a. 3,003 b. 1,716 c. 2,002 d. 495 e. 1,287 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 11:00 AM

131. A game of cards is played with a hand that consists of 5 cards dealt from a deck of 51 cards. How many

different hands of cards are possible? a. 2,349,060 b. 281,887,200 c. 255 d. 345,025,251 e. 13,005 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 132. To determine voters’ feelings regarding an issue, a candidate asks a sample of people to pick 5 words out of

a set of 9 words that they feel best describe the issue. How many different groupings of 5 words are possible? a. 196 b. 45 c. 59,049 d. 15,120 e. 126 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 133. In how many ways can a committee consisting of 3 men and 6 women be selected from a group consisting

of 22 men and 13 women? a. 3,256 b. 2,642,640 c. 15,855,840 d. 1,902,700,800 e. 1,244,760 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 134. In how many ways can a hand consisting of 2 spades, 4 hearts, 2 clubs, and 1 diamond be selected from a

deck of 52 cards? a. 25,874,640 b. 116,049,934 c. 56,550,780 d. 1,368,528,876 e. 3,770,052 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 135. A senator asks his constituents to rank eight issues in order of importance. How many rankings are

possible? a. 322,560 b. 16 c. 64 d. 40,320 e. 28 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 136. A senator asks his constituents to rank seven issues in order of importance. What is the probability that one

reply chosen at random will rank the issues in alphabetical order? a. b. c. d.

Pr(Alphabetical Order) = Pr(Alphabetical Order) = Pr(Alphabetical Order) = Pr(Alphabetical Order) =

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Pr(Alphabetical Order) =

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 137. Suppose that all license plates in a state have four of the letters A through Z followed by three of the digits

0 through 9. If a plate is chosen at random, what is the probability that all four letters and all three digits on the plate will be different? Round your answer to five decimal places. a. 0.094219 b. 0.023555 c. 0.565316 d. 1.794000 e. 0.008027 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 138. An automatic teller machine requires that each customer enter a five-digit personal identification number

(PIN) when he or she inserts a bank card. If a person finds a bank card and guesses at a PIN to use the card fraudulently, what is the probability that the person will succeed in one attempt? a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 11:00 AM

139. An automatic teller machine requires that each customer enter a five-digit personal identification number

(PIN) when he or she inserts a bank card. If a person finds a bank card and guesses at a PIN to use the card fraudulently, and the person knows that the PIN will not have any digit repeated, what is the probability the person will succeed in guessing in one attempt? a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 140. If the first digit of a seven-digit telephone number cannot be a 0, 1 or 2, what is the probability that a

number chosen at random will have all seven digits the same? a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 141. As a reward for a record year, the Ace Software Company is randomly selecting 7 people from its 45

employees for a free trip to Hawaii, but it will not pay for a traveling companion. If John and Jill are married and both are employees, what is the probability that they will both win? Round your answer to five decimal Copyright Cengage Learning. Powered by Cognero.

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places. a. 0.02564 b. 0.02222 c. 0.00051 d. 0.15556 e. 0.02121 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 142. In a 9-question matching test with 9 possible answers to match and no answer used more than once, what is

the probability of guessing and getting every answer correct? a. b. c. d. e.

Pr(All Correct) = Pr(All Correct) = Pr(All Correct) = Pr(All Correct) = Pr(All Correct) =

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 143. A box of 27 transistors has 4 defective ones. If 2 transistors are drawn from the box together, what is the

probability that both transistors are defective? Round your answer to two decimal places. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

Page 768

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 144. A box of 25 transistors has 7 defective ones. If 2 transistors are drawn from the box together, what is the

probability that neither transistor is defective? Round your answer to four decimal places. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 145. A box of 24 transistors contains 5 that are defective. If 2 transistors are drawn from the box together, what

is the probability that exactly one of the two transistors is defective? Round your answer to four decimal places. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 146. A retailer purchases 140 of a new brand of DVD player, of which 3 are defective. The purchase agreement

says that if he tests 8 chosen at random and finds 1 or more defective, he receives all the DVD players free of charge. What is the probability that he will not have to pay for the DVD players? Round your answer to three decimal places. a. 0.421 b. 0.163 c. 1.000 Copyright Cengage Learning. Powered by Cognero.

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d. 0.837 e. 0.137 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 147. To see whether a bank has enough minority construction company loans, a social agency selects 39 loans to

construction companies at random and finds that 5 of them are loans to minority companies. If the bank’s claim that 10 of every 100 of its loans to construction companies are minority loans is true, what is the probability that 5 loans out of 39 are minority loans? Leave your answer with combination symbols. a.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 11:00 AM

148. Suppose that an employer plans to hire five people from a group of eleven equally qualified people, of

whom four are minority candidates. If the employer does not know which candidates are minority candidates, and if she selects her employees at random, what is the probability that no minority candidates are hired? Round your answer to two decimal places. a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 149. Suppose that an employer plans to hire three people from a group of six equally qualified people, of whom

two are minority candidates. If the employer does not know which candidates are minority candidates, and if she selects her employees at random, what is the probability that all two minority candidates are hired? Round your answer to six decimal places. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 150. Suppose that an employer plans to hire seven people from a group of fifteen equally qualified people, of

whom five are minority candidates. If the employer does not know which candidates are minority candidates, and if she selects her employees at random, what is the probability that exactly one minority candidate is hired? Round your answer to four decimal places. a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 151. Nine men and three women are semifinalists in a lottery. From this group, three finalists are to be selected

by a drawing. What is the probability that all three finalists will be men? Round your answer to three decimal places. a. 0.382 b. 0.300 c. 0.005 d. 0.333 e. 0.750 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 152. A car dealer has 9 different cars that he would like to display, but he has room to display only 6. In how

many ways can he pick 6 cars to display? a. 60,480 b. 455 c. 225 d. 84 e. 54 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 153. A car dealer has 14 different cars that he would like to display, but he has room to display only 4. Suppose

6 of the cars are the same color, with the remaining 8 having different colors that are distinct from each other. If the dealer tells a salesperson to display any 4 cars, what is the probability that all 4 cars will be the same color? Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e.

Pr(All Same Color) = Pr(All Same Color) = Pr(All Same Color) = Pr(All Same Color) = Pr(All Same Color) =

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 154. Suppose that six of the eight students running for class officers (president, vice president, secretary, and

treasurer) have grade-point averages (GPAs) above 3.0. If the officers are selected at random, what is the probability that all four officers will be students with GPAs above 3.0? a. b. c. d. e.

Pr(GPA > 3.0) = Pr(GPA > 3.0) = Pr(GPA > 3.0) = Pr(GPA > 3.0) = Pr(GPA > 3.0) =

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 155. In one state there is a lottery game called Pick 4. The state chooses 12 numbers from 60 numbers, and each

player chooses 4 numbers from the same 60 numbers. If all 4 of a player’s numbers are among the 12 numbers that the state picked, then that player is a ―big winner.‖ Find the probability of being a big winner. Round your answer to four decimal places. a. b.

Pr(Big Winner) = 0.0354 Pr(Big Winner) = 10.1510

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c. d. e.

Pr(Big Winner) = 0.0667 Pr(Big Winner) = 0.0354 Pr(Big Winner) = 10.1510

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 156. An insurance company receives 30 claims in a certain month. Company policy mandates that a random

selection of 8 of these claims be thoroughly investigated. If 2 of the 30 claims are fraudulent, find the probability that none of the fraudulent claims are thoroughly investigated. Round your answer to three decimal places. a. 0.033 b. 0.064 c. 0.531 d. 0.055 e. 0.101 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 157. What is the probability of being dealt a poker hand of 5 cards containing exactly 3 spades? Round your

answer to two decimal places. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 11:00 AM

158. Find the probability of being dealt a hand containing 5 spade, 8 hearts, 5 diamonds, and 5 clubs. Assume

that a normal deck of 52 cards is used. Round your answer to four decimal places. a. 0.0435 b. 0.5652 c. 0.3538 d. 0.0078 e. 0.8000 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 159. What is the probability of being dealt a poker hand of 5 cards containing exactly 5 cards of the same

suit? Round your answer to six decimal places. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

160. Can the vector

be a probability vector?

a. yes b. no ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

161. Can the vector

11/16/2020 11:00 AM

be a probability vector?

a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

162. Can the matrix

be a transition matrix?

a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

163. Can the matrix

be a transition matrix?

a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

164. A Markov chain has transition matrix

and initial-probability vector

. Find the

probability vector for the third stage of the Markov chain. a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

165. A Markov chain has transition matrix

and initial-probability vector

. Find

the probability vector for the third stage of the Markov chain. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

166. Use the transition matrix

and initial probability vector

to find the resulting third

probability vector. Round all numerical values in your answer to three decimal places. a. b. c. d. e. ANSWER: POINTS:

c 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

167. Use the transition matrix

and initial probability vector

to find the resulting

third probability vector. Round all numerical values in your answer to three decimal places. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

168. Find the steady-state vector associated with the transition matrix

. Round all numerical

values in your answer to two decimal places. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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169. In a certain city, the Democratic, Republican, and Consumer parties always nominate candidates for mayor.

The probability of winning in any election depends on the party in power and is given by the following transition matrix.

Using the given transition matrix and assuming the initial-probability vector is , find the probability vector for the fourth stage of the Markov chain. (This initial-probability vector indicates that a Consumer is certain to win the initial election.) a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 170. In a certain city, the Democratic, Republican, and Consumer parties have members of their parties on the

city council. The probability of a member of this party winning in any election depends on the proportional membership of his/her party at the time of the election. The probabilities for all these parties winning are given by the following transition matrix P. Using the given transition matrix and assuming the initial-probability vector is , find the probability vectors for the next four steps of the Markov chain. Round all numerical values in your answer to four decimal places.

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b. c. d. e.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 171. The probability that daughters of a mother who attends church regularly will also attend church regularly is

0.8, whereas the probability that daughters of a mother who does not attend regularly will attend regularly is 0.1. If a woman attends church regularly and has one daughter, who in turn has one daughter, what is the probability that the granddaughter attends church regularly? Round your answer to two decimal places. a. 0.83 b. 0.19 c. 0.34 d. 0.64 e. 0.66 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 172. The probability that daughters of a mother who attends church regularly will also attend church regularly is

, whereas the probability that daughters of a mother who does not attend regularly will attend regularly is . What is the steady-state vector for this information? a.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 173. A man owns an Audi, a Ford, and a VW. He drives everyday and never drives the same car two days in a

row. These are the probabilities that he drives each of the other cars the next day: Pr(Ford after Audi) = 0.8 Pr(VW after Audi) = 0.2 Pr(Audi after Ford) = 0.9 Pr(VW after Ford) = 0.1 Pr(Audi after VW) = 0.1 Pr(Ford after VW) = 0.9 If he drove the Ford on Monday, what is the probability that he will drive the VW on Wednesday? a. Pr(VW on Wednesday) = 0.18 b. Pr(VW on Wednesday) = 0.1 c. Pr(VW on Wednesday) = 0.81 d. Pr(VW on Wednesday) = 0.9 e. Pr(VW on Wednesday) = 0.01 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 174. A man owns an Audi, a Ford, and a VW. He drives every day and never drives the same car two days in a

row. These are the probabilities that he drives each of the other cars the next day: Copyright Cengage Learning. Powered by Cognero.

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Pr(Ford after Audi) = Pr(VW after Audi) = Pr(Audi after Ford) = Pr(VW after Ford) = Pr(Audi after VW) = Pr(Ford after VW) = What is the steady-state vector for this problem? a. b.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 175. Suppose a government study estimated that the probability of successive generations of a rural family

remaining in a rural area was 0.4 and the probability of successive generations of an urban family remaining in an urban area was 0.6. Assuming a Markov chain applies to these facts, find the steady-state vector.

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c. d.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 176. The local community-service funding organization in a certain county has classified the population into

those who did not give the previous year, those who gave less than their "fair share," and those who met or exceeded their "fair share." Suppose the organization developed the following transition matrix for these groups. Find the steady-state vector for this county's contribution habits.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 177. A local business A has two competitors, B and C. No customer patronizes more than one of these

businesses at the same time. Initially, the probabilities that a customer patronizes A, B, or C are 0.3, 0.6, and 0.1, respectively. Suppose A initiates an advertising campaign to improve its business and finds the following transition matrix to describe the effect.

If A runs the advertising campaign for 3 weeks, find the probability that a customer will still patronize business B. a. 0.2160 b. 0.3020 c. 0.1920 d. 0.0540 e. 0.2906 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 178. A local business A has two competitors, B and C. No customer patronizes more than one of these

businesses at the same time. Initially, the probabilities that a customer patronizes A, B, or C are 0.2, 0.6, and 0.2, respectively. Suppose A initiates an advertising campaign to improve its business and finds the following transition matrix to describe the effect.

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Find the steady-state vector for this market—that is, the long-range share of the market that each business can expect if the transition matrix holds. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM 179. For species that reproduce sexually, characteristics are determined by a gene from each parent. Suppose

that for a certain trait there are two possible genes available from each parent: a dominant gene D and a recessive gene r. Then the different gene combinations (called genotypes) for the offspring are DD, Dr, rD, and rr, where Dr and rD produce the same trait. Suppose further that these genotypes are the states of a Markov chain with the transition matrix given below. If the initial occurrence of those genotypes in the population is 0.3 for DD, 0.1 for Dr, and 0.6 for rr, find the distribution (probability) of each type of the second generation of offspring. Round all numerical values in your answer to two decimal places.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:00 AM 11/16/2020 11:00 AM

180. For species that reproduce sexually, characteristics are determined by a gene from each parent. Suppose

that for a certain trait there are two possible genes available from each parent: a dominant gene D and a recessive gene r. Then the different gene combinations (called genotypes) for the offspring are DD, Dr, rD, and rr, where Dr and rD produce the same trait. Suppose further that these genotypes are the states of a Markov chain with the transition matrix given below. Find the steady-state vector for this genotype. Round all numerical values in your answer to two decimal places.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:00 AM DATE MODIFIED: 11/16/2020 11:00 AM

1. If the probability of success on each trial of an experiment is 0.4, what is the probability of 8 successes in 10

independent trials? Round your answer to four decimal places. a. Pr(8 Successes) = 0.0053 b. Pr(8 Successes) = 0.002654208 c. Pr(8 Successes) = 0.0212 d. Pr(8 Successes) = 0.0106 e. Pr(8 Successes) = 0.0425 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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2. Suppose a fair die is rolled 10 times. What is the probability that a 2 will occur 1 times in the 10 rolls? Round

your answer to six decimal places. a. Pr(1 2) = 0.646022 b. Pr(1 2) = 0.323011 c. Pr(1 2) = 0.807528 d. Pr(1 2) = 0.484517 e. Pr(1 2) = 0.403764 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 3. Suppose a fair coin is tossed 12 times. What is the probability that exactly 2 heads will occur? a. b. c. d. e.

Pr(2 Heads) = Pr(2 Heads) = Pr(2 Heads) = Pr(2 Heads) = Pr(2 Heads) =

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 4. If a fair die is rolled 10 times, what is the probability that an odd number will result 6 times? a. b. c.

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d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 5. Suppose a fair die is rolled 9 times. What is the probability that 5 ―aces‖ (1’s) will occur? Round your answer

to six digital places. a. Pr(5 Aces) = 0.102423 b. Pr(5 Aces) = 0.246094 c. Pr(5 Aces) = 0.204847 d. Pr(5 Aces) = 0.039071 e. Pr(5 Aces) = 0.007814 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 6. A bag contains 6 red balls and 3 black balls. We draw 8 balls, with each one replaced before the next is

drawn. What is the probability that 5 balls drawn will be red? Round your answer to six decimal places. a. Pr(5 Red) = 0.625000 b. Pr(5 Red) = 0.000813 c. Pr(5 Red) = 0.273129 d. Pr(5 Red) = 0.000007 e. Pr(5 Red) = 0.548822 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 7. A bag contains 8 red balls and 4 black balls. We draw 6 balls, with each one replaced before the next is

drawn. What is the probability that at least 4 black balls will be drawn? Round your answer to five decimal Copyright Cengage Learning. Powered by Cognero.

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places. a. 0.08230 b. 0.01646 c. 0.00137 d. 0.09877 e. 0.10014 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 8. Suppose a pair of dice is thrown 13 times. What is the probability that a sum of 10 occurs exactly 3 times?

Round your answer to six decimal places. a. 0.120813 b. 0.171775 c. 0.213845 d. 0.069332 e. 0.241940 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 9. Suppose the probability that a marksman will hit a target each time he shoots is 0.66. If he fires 9 shots at a

target, what is the probability he will hit it 3 times? Round your answer to six decimal places. a. Pr(3 Hits) = 0.037307 b. Pr(3 Hits) = 0.005100 c. Pr(3 Hits) = 0.000311 d. Pr(3 Hits) = 0.009327 e. Pr(3 Hits) = 0.005330 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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10. A family has 5 children. If the probability that each child is a girl is 0.5, what is the probability that 4 of the

children are girls? Round your answer to six decimal places. a. Pr(4 Girls) = 0.078125 b. Pr(4 Girls) = 0.039063 c. Pr(4 Girls) = 0.156250 d. Pr(4 Girls) = 0.062500 e. Pr(4 Girls) = 0.125000 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 11. A multiple-choice test has 36 questions and 2 choices for each question. If a student is totally unprepared

and guesses on each question, what is the probability that she will answer 18 questions correctly? Round your answer to four decimal places. a. 0.0660 b. 0.1321 c. 0.0880 d. 0.1467 e. 0.2032 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 12. The manager of a store buys portable radios in lots of 12. Suppose that, on the average, 4 out of each group

of 12 are defective. The manager randomly selects 6 radios out of the group to test. What is the probability that he will find 5 defective radios? Round your answer to six decimal places. a. Pr(5 Defective) = 0.005487 b. Pr(5 Defective) = 0.006584 c. Pr(5 Defective) = 0.010974 d. Pr(5 Defective) = 0.008230 e. Pr(5 Defective) = 0.016461 ANSWER: POINTS:

e 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM

13. The probability that a certain couple will have a blue-eyed child is

, and they have 5 children. What is the

probability that 2 of their children have blue eyes? Round your answer to six decimal places. a. Pr(2 Blue) = 0 b. Pr(2 Blue) = 0.004395 c. Pr(2 Blue) = 0.000579 d. Pr(2 Blue) = 0.001440 e. Pr(2 Blue) = 1 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM

14. If the probability that a certain couple will have a blue-eyed child is

, and they have 3 children, what is

the probability that at least 1 child has blue eyes? a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM Copyright Cengage Learning. Powered by Cognero.

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15. Suppose that 30% of the patients who have a certain disease die from it. If 13 patients have the disease, what

is the probability that no more than 4 patients will die from it? Round your answer to six decimal places. a. Pr(Deaths 4) = 0.308168 b. Pr(Deaths 4) = 0.192789 c. Pr(Deaths 4) = 0.356936 d. Pr(Deaths 4) = 0.898811 e. Pr(Deaths 4) = 0.451835 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 16. In a certain school district, 17% of the faculty use none of their sick days in a school year. Find the

probability that 5 faculty members selected at random used no sick days in a given year. Round your answer to eight decimal places. a. 0.00014199 b. 0.00083521 c. 0.00002414 d. 0.39390406 e. 0.47458321 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 17. If the ratio of boys born to girls born is 75 to 60, and if 13 children are born in a certain hospital in a day,

what is the probability that 2 of them are boys? Round your answer to six decimal places. a. Pr(2 Boys) = 0.003218 b. Pr(2 Boys) = 0.001609 c. Pr(2 Boys) = 0.002145 d. Pr(2 Boys) = 0.002681 e. Pr(2 Boys) = 0.001287 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 18. It has been determined empirically that the probability that a given cell will survive for a given period of

time is 0.55. Find the probability that 4 out of 10 of these cells will survive for this period of time. Round your answer to six decimal places. a. Pr(4 Survive) = 0.079784 b. Pr(4 Survive) = 0.106379 c. Pr(4 Survive) = 0.159568 d. Pr(4 Survive) = 0.063827 e. Pr(4 Survive) = 0.138755 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 19. If records indicate that 8 houses out of 1000 are expected to be damaged by fire in any year, what is the

probability that a woman who owns 14 houses will have fire damage in 2 of them in a year? Round your answers to six decimal places. a. Pr(2 Fires) = 0.002644 b. Pr(2 Fires) = 0.005289 c. Pr(2 Fires) = 0.026444 d. Pr(2 Fires) = 0.004407 e. Pr(2 Fires) = 0.010578 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 20. A baseball player has a lifetime batting average of 0.45. If he comes to bat 8 times in a given game, what is

the probability that he will get more than 3 hits? Round your answer to six decimal places. a. Pr(>3 Hits) = 0.476956 b. Pr(>3 Hits) = 0.788243 c. Pr(>3 Hits) = 0.936819 d. Pr(>3 Hits) = 0.531417 e. Pr(>3 Hits) = 0.523044 Copyright Cengage Learning. Powered by Cognero.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 21. A company produces shotgun shells in batches of 400. A sample of 10 is tested from each batch, and if more

than one defect is found, the entire batch is tested. If 1% of the shells are actually defective, what is the probability of more than 1 defective shell in a batch of 10? Round your answer to six decimal places. a. Pr(>1 Defect) = 0.000250 b. Pr(>1 Defect) = 0.091352 c. Pr(>1 Defect) = 0.004152 d. Pr(>1 Defect) = 0.004266 e. Pr(>1 Defect) = 0.001000 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 22. A quiz consists of 10 multiple-choice questions with 5 choices for each question. Suppose a student is sure

of the first 5 answers and has each of the last 5 questions narrowed to 4 of the possible 5 choices. If the student guesses among the narrowed choices on the last 5 questions, find the probability of getting at least a D (at least 60%). Round your answer to four decimal places. a. Pr(Grade ≥ D) = 0.0049 b. Pr(Grade ≥ D) = 0.4800 c. Pr(Grade ≥ D) = 0.7627 d. Pr(Grade ≥ D) = 0.2373 e. Pr(Grade ≥ D) = 0.0162 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 23. In a certain community, 35% of the population is Jewish. A study shows that of 12 social service agencies, 3

have board presidents who are Jewish. Find the probability that this could happen by chance. Round your answer to six decimal places. Copyright Cengage Learning. Powered by Cognero.

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a. Pr(3 Jewish Presidents) = 0.195365 b. Pr(3 Jewish Presidents) = 0.004762 c. Pr(3 Jewish Presidents) = 0.042875 d. Pr(3 Jewish Presidents) = 0.087500 e. Pr(3 Jewish Presidents) = 0.007143 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 24. Suppose the probability of suicide among a certain age group is 0.004. If a randomly selected group of 90

Native Americans within this age group had no suicides, find the probability of this occurring by chance. Round your answer to four decimal places. a. 0.6698 b. 0.6435 c. 0.6972 d. 0.4670 e. 0.5266 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 25. Which frequency table best describes the data displayed in the frequency histogram?

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Score 30 35 40 45 50

Frequency 6 18 4 4 20

Score 60 70 80 90 100

Frequency 3 9 2 2 10

Score 60 70 80 90 100

Frequency 6 18 4 4

Score 3 9 2 2 10

Frequency 60 70 80 90 100

Score 30 35 40 45 50

Frequency 3 9 2 2 10

ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 26. Which frequency histogram best describes the data given in the frequency table?

Age 1–4 5–8 9–12 13–16 17–20

Frequency 6 5 9 7 1

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM Copyright Cengage Learning. Powered by Cognero.

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27. Which list of data is displayed in this frequency histogram?

a. 0, 0, 0, 2, 2, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6 b. 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6 c. 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 4, 5, 5, 5, 5 d. 1, 1, 1, 1, 2, 2, 2, 3, 4, 5, 5, 5, 5 e. 0, 1, 2, 3, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 28. Find the mode of the set of scores.

6, 11, 12, 6, 7, 5, 6, 5 a. 6 b. 7.25 c. 5 d. 8 e. 7 ANSWER: POINTS:

a 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 29. Find the median of the set of scores.

44, 86, 92, 58, 62, 70, 92 a. 58 b. 72 c. 92 d. 70 e. 48 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 30. Find the median of the set of scores.

22, 25, 27, 36, 46, 32, 30, 38 a. 31 b. 15 c. 41 d. 30 e. 36 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 31. Find the mean of the scores.

7, 3, 4, 1, 6, 3 a. 3.5 b. 4 c. 3 Copyright Cengage Learning. Powered by Cognero.

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d. 2.5 e. 6 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 32. Find the mode(s) of the scores.

14, 13, 16, 12, 15, 12, 17, 13 a. 12 b. 13, 14 c. 14 d. 13 e. 12, 13 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 33. Find the median of the set of scores.

14.8, 18.4, 17.3, 17.3, 19.2 a. 18.4 b. 19.2 c. 7.4 d. 8.7 e. 17.3 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 34. Find the mean of the following data. Round your answer to the nearest integer.

Interval

Frequency

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2 2 6 6 2 a. 37 b. 49 c. 43 d. 44 e. 78 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 35. Find the mode of the following data. Round your answer to the nearest integer.

Interval

Frequency 4 3 2 6 7

a. 17 b. 22 c. 27 d. 12 e. 32 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 36. Find the range of the set of numbers given.

10, 6, 9, 3, 3, 12, 6 Copyright Cengage Learning. Powered by Cognero.

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a. 6 b. 3 c. 9 d. 7 e. 12 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 37. Find the mean of the set of sample data.

76, 68, 96, 80, 86, 68, 72 a. 76 b. 78 c. 28 d. 80 e. 68 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 38. Find the variance of the set of sample data.

54, 70, 95, 75, 67, 64 a. 189.37 b. 68.5 c. 70.83 d. 425 e. 13.76 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 11:26 AM

39. Find the standard deviation of the sample data in the frequency table. Round your answer to two decimal

places. x f(x)

1 2

2 2

3 4

4 2

5 4

a. 3.29 b. 46.00 c. 2.07 d. 1.44 e. 3.00 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 40. The following table gives a city's unemployment rates for civilian workers for selected years from 1960 to

2004. Which bar graph represents the information given in the table? Year

1960

1970

1980

1990

2000

2004

Unemploymant rate

3.2

2.6

2.1

4.4

5.8

4.3

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 41. The following bar graph shows the size of the average farm (in acres) for selected years from 1940 to 2000.

Which table shows the data displayed in the graph?

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Year Farm size

1940 400

1950 800

1960 1100

1970 1450

1980 1800

1990 2100

2000 2400

Year Farm size

1940 295

1950 300

1960 310

1970 330

1980 345

1990 390

2000 415

Year Farm size

1940 400

1950 400

1960 300

1970 350

1980 350

1990 300

2000 300

Year Farm size

1940 415

1950 805

1960 1105

1970 1550

1980 1880

1990 2175

2000 2485

Year Farm size

1940 415

1950 390

1960 300

1970 345

1980 330

1990 295

2000 310

ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 42. Suppose you live in a neighborhood with a few expensive homes and many modest homes. If you wanted to

impress people with the neighborhood where you lived, which measure would you give as the ―average‖ property value? a. median b. minimum c. standard deviation d. mean e. range ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 43. The table below gives the votes in favor of the measure ―Amend the state constitution to recognize marriage

only between a man and a woman‖ in states that had it on the ballot. What is the mean of the state percents favoring this measure? Round your answer to two decimal places. State Arkansas Georgia Kentucky Michigan Mississippi Montana

% Favoring 78 60 77 63 79 81

State North Dakota Ohio Oklahoma Oregon Utah

% Favoring 62 77 74 61 68

a. 74.00 b. 70.91 c. 65.00 d. 15.60 e. 78.00 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 44. The percents of total households that contain married couples for the years 1982 to 2006 are given in the

table below. Construct a frequency histogram of the percents. Year 1982 1984 1986 1988 1990 1992

Percent 59 58 56 56 55 55

Year 1994 1996 1998 2000 2002 2004 2006

Percent 54 53 52 52 51 50 50

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45. The birth weights (in kilograms) of a sample of 160 children are given in the following table. What is the

mean of the weights? Round your answer to two decimal places. Weight (kg) 2.0 2.3 2.6 2.9 3.2

Frequency 23 9 27 25 7

Weight (kg) 3.5 3.8 4.1 4.4 4.7

Frequency 5 11 16 16 21

a. 5.29 b. 15.70 c. 3.35 d. 3.29 e. 16.00 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 46. Suppose a company has 11 employees, 1 earning $160,000, 2 earning $120,000, 3 earning $60,000, 4

earning $40,000, and 1 earning $32,000. What is the mode of the salaries? a. $40,000 b. $59,273 c. $60,000 d. $82,400 e. $160,000 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 47. A new car with a $18,700 list price can be bought for different prices from different dealers. In one city the

car can be bought for $17,900 from 2 dealers, for $17,800 from 1 dealer, for $17100 from 3 dealers, for $17,300 from 2 dealers, and for $17,200 from 2 dealers. What are the mean and standard deviation of this sample of car prices? Round your answer to two decimal places wherever applicable.

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a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 48. Data on the amounts of federal on-budget funds for research programs at universities and related institutions

for selected years appear in the table below. What is the standard deviation of the federal on-budget funds for research programs for this period? Round your answer to three decimal places. Year Federal funds (billions of dollars)

1965 1970 2

1975

1980

1985

1990

1995

2000

a. 9.625 b. 8.000 c. 7.726 d. 11.000 e. 7.227 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 49. Determine y, if possible, so that the table describes a discrete probability distribution.

P(x)

1 2

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3 4 a. b.

y y= y=

c. d. e. not possible ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 50. Determine c, if possible, so that the formula

describes a discrete probability

distribution. a. 27 b. c. 49 d. e. not possible ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 51. Determine c, if possible, so that the formula

describes a discrete

probability distribution. a. 2 b.

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c. 200 d. 34 e. not possible ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 52. The following table defines a discrete probability distribution. Find the expected value of the distribution.

Pr(x) a. b. c.

E(x)= E(x)= E(x)=

d. E(x)=10 e. E(x)=1 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 53. The following table defines a discrete probability distribution. Find the expected value of the distribution.

P(x)

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 54. Estimate the variance for the following probability distribution to two decimal places.

Pr(x) a. 2.57 b. 0.65 c. 0.8 d. 0.42 e. 1.00 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 55. Estimate the variance for the following probability distribution to two decimal places.

a. 1.67 b. 1.89 c. 1.37 d. 3.57 e. 1.00 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 56. Suppose an experiment has five possible outcomes for x: 1, 2, 3, 4, 5. The probability that each of these

outcomes occurs is

. Estimate the expected value of x for the experiment to two decimal places?

a. Copyright Cengage Learning. Powered by Cognero.

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b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 57. A die is rolled 2 times, and success is rolling a number greater than 1. Let x = number of success. Construct

the binomial distribution that describes this experiment, and find the mean of this distribution. a.

Pr(x)

0 1 2

Pr(x)

0 1 2

Pr(x)

0 1 2

Pr(x)

0 Copyright Cengage Learning. Powered by Cognero.

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1 2

Pr(x)

0 1 2

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 58. A variable x has a binomial distribution with probability of success 0.3 for each trial. For a total of 60 trials,

what are the mean and the standard deviation of the distribution? a.

e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM

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59. A coin is ―loaded‖ so that the probability of tossing a head is

. If it is tossed 30 times, what are the mean

and the standard deviation of the number of heads that occur? a.

e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 60. Suppose a pair of dice is thrown 425 times. Estimate how many times would we expect a sum of 5 to occur?

Round your answer to the nearest integer. a. 378 times b. 283 times c. 47 times d. 71 times e. 59 times ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 61. Expand a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 62. In studying a certain endangered species, scientists have found that when the animals are relocated, it takes x

years without offspring before the first young are born, where x and the probability of x are given below. What is the expected number of years before the first young are born? x 0 1 2 3 4 Pr(x) 0.05 0.39 0.34 0.1 0.12 a. 1.85 years b. 1.07 years c. 0.48 years d. 1.8 years e. 2.24 years ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 63. A candidate must decide whether he should spend his time and money on TV commercials or making

personal appearances. His staff determines that by using TV he can reach 110,000 people with probability 0.01, 40,000 people with probability 0.35, and 30,000 people with probability 0.64; by making personal appearances he can reach 80,000 people with probability 0.06, 50,000 people with probability 0.39, and 10,000 people with probability 0.55. In the following table, x represents the number of people reached by each choice. In each case, find the expected value of x to decide which method, if either, will reach more people. TV Commercials x Pr(x) 110,000 0.01 40,000 0.35 30,000 0.64

Personal Appearances x Pr(x) 80,000 0.06 50,000 0.39 10,000 0.55

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e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 64. If the probability that a newborn child is a male is

, what is the expected number of male children in a family having 4 children? Round your answer to two decimal places. a. 1.99 b. 1.97 c. 2.00 d. 0.17 e. 1.82 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 65. A nonprofit organization sells chances for a $30,000 automobile at $150 per ticket. It sells 1,000 tickets and

offers four prizes, summarized in the table that follows. What are the expected winnings (or loss) for each ticket? Prizes First Second Third Fourth

Amount $30,000 $10,000 $3,500 $1000

Page 821

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 66. Suppose that a student is offered a chance to draw a card from an ordinary deck of 52 playing cards and win

$18 for an ace, $6 for a king, and $1 for a queen. If $3 must be paid to play the game, what is the expected loss every time the game is played by the student? a. expected loss $1.77 b. expected loss $1.08 c. expected loss $3.00 d. expected loss $1.92 e. expected loss $0.38 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 67. A young man plans to sell umbrellas at the city’s Easter Parade. He knows that he can sell 167 umbrellas at

$19 each if it rains hard, he can sell 114 if it rains lightly, and he can sell 52 if it doesn't rain at all. Past records show it rains hard 29% of the time on Easter, rains lightly 63% of the time, and does not rain at all 8% of the time. If he can buy 0, 100, or 200 umbrellas at $5 each and return the unsold ones for $3 each, how many should he buy? a. 100 umbrellas b. 200 umbrellas ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM Copyright Cengage Learning. Powered by Cognero.

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68. An insurance company insures 100,000 cars in a certain area. The company has determined that on average,

each year they will have to pay the following amounts for accidents in the area: $100,000 with probability 0.0003 $50,000 with probability 0.004 $25,000 with probability 0.008 $5000 with probability 0.014 $1000 with probability 0.019 What is the company's expected payout per car each year? a. $519.00 b. $3439.00 c. $4530.00 d. $622.80 e. $456.72 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 69. A car owner must decide whether she should take out a $100-deductible collision policy in addition to her

liability insurance policy. Records show that each year, in her area, 15% of the drivers have an accident that is their fault or for which no fault is assigned, and that the average cost of repairs for these types of accidents is $500. If the $100-deductible collision policy costs $100 per year, would she save money in the long run by buying the insurance or ―taking the chance‖? (Hint: Find the expected values if she has the policy and if she doesn't have the policy and compare them.) a. by taking the chance b. by buying the insurance ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 70. Suppose that 7% of the patients who have a certain disease will die from it. If 95 people have the disease,

how many would we expect to die from it, and what is the standard deviation of the number of deaths that could occur? Round any estimated quantities to two decimal places. a.

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e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 71. A candidate claims that 65% of the voters in his district will vote for him. If his district contains

91,260 voters, how many votes does he expect to get from his district, and what is the standard deviation of the number of these votes? Round any estimated quantities to the nearest integer. a.

e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 72. A multiple-choice test has 35 questions and 4 choices for each question. If a student is totally unprepared

and guesses on each question, how many questions can she expect to answer correctly, and what is the standard deviation of the number of correct answers? Round any estimated quantities to two decimal places. Copyright Cengage Learning. Powered by Cognero.

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e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 73. Forty-three percent of accountants taking a CPA exam fail the first time. If 1000 candidates take the exam

for the first time, what is the expected number that will pass? a. 957 accountants b. 943 accountants c. 857 accountants d. 430 accountants e. 570 accountants ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 74. Use a table of the standard normal distribution to find the probability that a z-score from the standard normal

distribution will lie within the interval

. Round your answer to four decimal places.

a. 0.4527 b. 0.9053 c. 0.0947 d. 0.1947 e. 0.6790 ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 75. Use a table of the standard normal distribution to find the probability that a z-score from the standard normal

distribution will lie within the interval

. Round your answer to four decimal places.

a. 0.2420 b. 0.1210 c. 0.4420 d. 0.642 e. 0.7580 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 76. Use a table of the standard normal distribution to find the probability that a z-score from the standard normal

distribution will lie within the interval

. Round your answer to four decimal places.

a. 0.4596 b. 0.0808 c. 0.6128 d. 0.9192 e. 0.4192 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 77. Suppose a population of scores x is normally distributed with

distribution to find

and . Round your answer to four decimal places.

. Use the standard normal

a. 0.1915 b. 0.5000 c. 0.8085 Copyright Cengage Learning. Powered by Cognero.

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d. 0.0958 e. 0.6915 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 78. Suppose a population of scores x is normally distributed with

distribution to find

and . Use the standard normal . Round your answer to four decimal places.

a. 0.1056 b. 0.6056 c. 0.8944 d. 0.3944 e. 0.0400 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 79. Suppose a population of scores x is normally distributed with

distribution to find

and . Round your answer to four decimal places.

. Use the standard normal

a. 0.1915 b. 0.6170 c. 0.8830 d. 0.1170 e. 0.383 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 80. Suppose a population of scores x is normally distributed with

distribution to find

and Use the standard normal . Round your answer to four decimal places.

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a. 0.0575 b. 0.2161 c. 0.2736 d. 0.1586 e. 0.1368 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 81. Suppose a population of scores x is normally distributed with

distribution to find

and . Round your answer to four decimal places.

Use the standard normal

a. 0.1915 b. 0.6915 c. 0.3085 d. 0.3830 e. 0.6170 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 82. Suppose a population of scores x is normally distributed with

distribution to find

and . Round your answer to four decimal places.

Use the standard normal

a. 0.5062 b. 0.0062 c. 0.9938 d. 0.0124 e. 0.4938 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM Copyright Cengage Learning. Powered by Cognero.

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83. The Fish Commission states that the lengths of all fish in Spring Run are normally distributed, with mean

12 cm and standard deviation 1 cm. What is the probability that a fish caught in Spring Run will be between 12 and 13.25 cm long? Round your answer to four decimal places. a. 0.8944 b. 0.3944 c. 0.6056 d. 0.1056 e. 0.7888 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 84. The heights of a certain species of plant are normally distributed, with mean 21 cm and standard deviation

1 cm. What is the probability that a plant chosen at random will be will be between 20.25 and 21.75 cm tall? Round your answer to four decimal places. a. 0.5468 b. 0.2734 c. 0.7734 d. 0.2266 e. 0.7266 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 85. Suppose that the duration of the mating calls of a population of tree toads are normally distributed, with

mean 180 milliseconds (msec) and standard deviation 30 msec. What proportion of these calls would be expected to last between 183 and 240 msec? Use a table of the standard normal distribution to solve the problem. Round your answer to four decimal places. a. 0.5626 b. 0.9374 c. 0.4374 d. 0.1874 e. 0.1312 ANSWER: POINTS:

c 1

Page 829

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 86. The mean weight of a group of boys is 160 lb, with a standard deviation of 15 lb. If the weights are normally

distributed, find the probability that one of the boys picked at random from the group weighs more than 181 lb. Use a table of the standard normal distribution to solve the problem. Round your answer to four decimal places. a. 0.9192 b. 0.4192 c. 0.4278 d. 0.2196 e. 0.0808 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 87. The mean weight of a group of boys is 160 lb, with a standard deviation of 4 lb. If the weights are normally

distributed, find the probability that one of the boys picked at random from the group weighs between 152 and 170 lb. Round your answer to four decimal places. a. 0.4938 b. 0.4773 c. 0.0165 d. 0.9711 e. 0.0289 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 88. A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a

mean of 20 mpg and a standard deviation of 3 mpg. Find the probability that a car selected at random has gas mileage less than 19.25 mpg. Round your answer to four decimal places. a. 0.4013 b. 0.9013 Copyright Cengage Learning. Powered by Cognero.

Page 830

c. 0.0987 d. 0.5987 e. 0.1974 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 89. A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a

mean of 26 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has gas mileage greater than 36 mpg. Use a table of the standard normal distribution to solve the problem. Round your answer to four decimal places. a. 0.9938 b. 0.0062 c. 0.9907 d. 0.4938 e. 0.0162 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 90. Systolic blood pressure for a group of women is normally distributed, with a mean of 127 and a standard

deviation of 16. Find the probability that a woman selected at random has blood pressure greater than 135. Round your answer to four decimal places. a. 0.6915 b. 0.8085 c. 0.3085 d. 0.1915 e. 0.3830 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM Copyright Cengage Learning. Powered by Cognero.

Page 831

91. In a certain state, the daily amounts of industrial waste are normally distributed, with a mean of 6,000 tons

and a standard deviation of 3,000 tons. Find the probability that on a randomly selected day the amount of industrial waste is greater than 9,390 tons. Use a table of the standard normal distribution to solve the problem. Round your answer to four decimal places. a. 0.1292 b. 0.8708 c. 0.4514 d. 0.2909 e. 0.3876 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 92. In a certain state, the daily amounts of industrial waste are normally distributed, with a mean of 10,000 tons

and a standard deviation of 1,500 tons. Find the probability that on a randomly selected day the amount of industrial waste is less than 7,000 tons. Use a table of the standard normal distribution to solve the problem. Round your answer to four decimal places. a. 0.9772 b. 0.1078 c. 0.8694 d. 0.0228 e. 0.7720 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 93. In a certain state, the daily amounts of industrial waste are normally distributed, with a mean of 7,000 tons

and a standard deviation of 1,000 ons. Find the probability that on a randomly selected day the amount of industrial waste is between 8,700 and 9,900 tons. Use a table of the standard normal distribution to solve the problem. Round your answer to four decimal places. a. 0.0427 b. 0.9573 c. 0.3232 d. 0.4270 e. 0.4697 Copyright Cengage Learning. Powered by Cognero.

Page 832

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 94. Reaction time for a group of people is normally distributed, with a mean of 0.7 seconds and a standard

deviation of 0.4 seconds. Find the probability that an individual selected at random has a reaction time less than 1.6 seconds. Round your answer to four decimal places. a. 0.4878 b. 0.5122 c. 0.0122 d. 0.9878 e. 0.9756 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 95. True or False: Probabilities from a binomial probability distribution with

probability of success on each trial equal to

trials and with the can be approximated by using a normal distribution.

a. true b. false ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 96. In a binomial experiment, find the probability 60 of 119 successes in trials if

. Round your answer to

four decimal places. a. 0.9273 b. 0.0727 c. 0.8910 d. 0.4148 Copyright Cengage Learning. Powered by Cognero.

Page 833

e. 0.9455 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 97. In a binomial experiment, find the probability of between 33 and 38 successes in 150 trials if

. Round

your answer to four decimal places. a. 0.2641 b. 0.7359 c. 0.1321 d. 0.3962 e. 0.0660 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 98. In a binomial experiment, find the probability of more than 100 successes in 146 trials if

. Round

your answer to four decimal places. a. 0.9854 b. 0.3439 c. 0.3509 d. 0.3325 e. 0.0146 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 99. In a binomial experiment find the probability of no more than 89 successes in 114 trials if

. Round

your answer to four decimal places. a. 0.6305 Copyright Cengage Learning. Powered by Cognero.

Page 834

b. 0.0239 c. 0.4761 d. 0.6162 e. 0.9761 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 100. In a binomial experiment find the probability of at least 43 successes in 110 trials if

. Round your

answer to four decimal places. a. 0.9761 b. 0.3088 c. 0.0239 d. 0.2978 e. 0.2366 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 101. In a binomial experiment find the probability of fewer than 13 successes in 110 trials if

. Round

your answer to four decimal places. a. 0.3156 b. 0.3185 c. 0.5438 d. 0.6844 e. 0.5399 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 102. If a die is rolled 123 times, what is the probability that a 6 will occur 30 times? Round your answer to four Copyright Cengage Learning. Powered by Cognero.

Page 835

decimal places. a. 0.9923 b. 0.1637 c. 0.0077 d. 0.3961 e. 0.2206 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 103. If a fair coin is tossed 123 times, what is the probability that no more than 67 heads will occur? Round your

answer to four decimal places. a. 0.4952 b. 0.6165 c. 0.1401 d. 0.7901 e. 0.8599 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 104. If a die is rolled 97 times, what is the probability that a 6 will occur at least 19 times? Round your answer

to four decimal places. a. 0.7143 b. 0.7389 c. 0.2611 d. 0.6438 e. 0.5990 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM Copyright Cengage Learning. Powered by Cognero.

Page 836

DATE MODIFIED:

11/16/2020 11:26 AM

105. Suppose the Circuitown buys plasma televisions in sets of 1400. If a television is defective with probability

0.01, what is the probability that at least 19 televisions will be defective in a set? Round your answer to four decimal places. a. 0.8869 b. 0.1131 c. 0.6628 d. 0.8428 e. 0.7976 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 106. Suppose that AudioMart has a secret sale released only on the Internet because management thought that

word-of-mouth publicity about the sale would result in 5% of U.S. households recognizing the company name. If this is true, what is the probability that at least 100 of 2000 people surveyed recognize the company name? Round your answer to four decimal places. a. 1.0199 b. 0.5199 c. 0.5346 d. 0.5234 e. 0.5265 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 107. Suppose a report by U.S. News and World Report states that 25% of all employee credentials examined

were falsified. If this is true, what is the probability that at least 79 of 240 employees hired during a year had falsified their credentials? Round your answer to four decimal places. a. 0.1826 b. 0.9971 c. 0.0029 d. 0.3856 e. 0.1724 Copyright Cengage Learning. Powered by Cognero.

Page 837

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 108. Suppose that the ratio of boys born to girls born is 115 to 80, what is the probability that out of 1000 babies

born in Santa Clara, 430 will be girls? Round your answer to four decimal places. a. 0.9893 b. 0.4956 c. 0.2313 d. 0.0107 e. 0.1001 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 109. Suppose it has been determined empirically that a certain cell will survive for a given period of time is 0.3.

What is the probability that at most 310 of 1100 of these cells will survive for this period of time? Round your answer to four decimal places. a. 0.7776 b. 0.5987 c. 0.0885 d. 0.8200 e. 0.9115 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 110. Suppose the Rent-to-Own Company estimates that 30% of its rentals result in a sale of the product. If the

company rents 13,000 of its product in a year, what is the probability that it will sell at most 4,000 of its products? Round your answer to four decimal places. a. 0.9726 Copyright Cengage Learning. Powered by Cognero.

Page 838

b. 0.8931 c. 0.0274 d. 0.8177 e. 0.7513 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 111. Suppose the probability that a certain drug will lower cholesterol significantly is 0.85. If the drug is

administered to 1300 patients, what is the probability that more than 1094 will have significantly lowered cholesterol levels? Round your answer to four decimal places. a. 0.2073 b. 0.4949 c. 0.4493 d. 0.7300 e. 0.7927 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 112. Suppose a standardized exam for admission to a special program has been passed by 54% of the students

taking it over the last five years. Suppose that 1368 of 2400 students taking the test this year pass. What is the probability that at least 1368 would pass if the pass rate is 54%? Round your answer to four decimal places. a. 0.0017 b. 0.9983 c. 0.1433 d. 0.0185 e. 0.0508 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM Copyright Cengage Learning. Powered by Cognero.

Page 839

113. Suppose a television show rating of 6.4 means that 6.4% of the 110 million TV households watched the

show. If a sample of 123 local TV households were queried, what is the probability that more than 9 would have watched the show? Round your answer to four decimal places. a. 0.6943 b. 0.2743 c. 0.7257 d. 0.6264 e. 0.6248 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM 114. Suppose according to one of Mendel's hybridization experiments, when peas with green pods were crossed

with peas with yellow pods, 44% of the offspring pods should be yellow. What is the probability that at least 266 of 590 offspring peas would have yellow pods? Round your answer to four decimal places. a. 0.3121 b. 0.3526 c. 0.3375 d. 0.6879 e. 0.6523 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:26 AM DATE MODIFIED: 11/16/2020 11:26 AM

1. A graph of

is shown and a c-value is given. For this problem, use the graph to find

Page 840

a. 10 b. –15 c. 0 d. 15 e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 2. A graph of

is shown and a c-value is given. For this problem, use the graph to find

Page 841

a. 10 b. 0 c. –15 d. 15 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 3. A graph of

is shown and a c-value is given. For this problem, use the graph to find

Page 842

a. 0 b. 5 c. –5 d. –6 e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 4. A graph of

is shown and a c-value is given. For this problem, use the graph to find

Page 843

a. 0 b. 2 c. –4 d. –6 e. does not exist ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 5. Use the graph of

and the given c-value to find

Page 844

a. –4 b. 0 c. 2 d. 6 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 6. Use the graph of

and the given c-value to find

Page 845

a. –2 b. 0 c. 6 d. 2 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 7. Use the graph of

and the given c-value to find

Page 846

a. 4 b. 0 c. 2 d. –4 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 8. Use the graph of

and the given c-value to find

Page 847

a. 2 b. –6 c. 6 d. 0 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 9. Use the graph of

and the given c-value to find

Page 848

a. b. –1 c. 3 d. –8 e. does not exist ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 10. Use the graph of

and the given c-value to find

Page 849

a. –6 b. –2 c. –5 d. 3 e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 11. Use the graph of

and the given c-value to find

Page 850

a. –2 b. -6 c. 3 d. –7 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 12. Use the graph of

and the given c-value to find

Page 851

a. –6 b. –4 c. 1 d. 3 e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 13. Complete the table and use it to predict the limit, if it exists.

x –0.51 –0.501 –0.5001 ↓ –0.5

f(x)

↓ ?

Page 852

↑ –0.4999 –0.499 –0.49

↑

a. –64.8 b. 32.4 c. –32.4 d. –0.5 e. does not exist ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 14. Complete the table and use it to predict the limit, if it exists.

x 0.9 0.99 0.999 ↓ 1 ↑ 1.001 1.01 1.1

f(x)

↓ ? ↑

a. –4 b. 4 c. –3 d. 3 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM Copyright Cengage Learning. Powered by Cognero.

Page 853

DATE MODIFIED:

11/16/2020 11:33 AM

15. Use properties of limits and algebraic methods to find the limit, if it exists.

a. 13 b. 15 c. 10 d. 18 e. does not exist ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 16. Use properties of limits and algebraic methods to find the limit, if it exists.

a. b. 11 c. d. e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM

17. Use properties of limits and algebraic methods to find

if the limit exists.

a. 0 b. 10 Copyright Cengage Learning. Powered by Cognero.

Page 854

c. ∞ d. –10 e. 5 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 18. Use properties of limits and algebraic methods to find the limit, if it exists.

a. 0 b. c. d. e. does not exist ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 19. Use properties of limits and algebraic methods to find the limit, if it exists.

a. b. c. d. e. does not exist ANSWER:

Page 855

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 20. Use properties of limits and algebraic methods to find the limit, if it exists.

a. 2 b. 48 c. –2 d. –48 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 21. Use properties of limits and algebraic methods to find the limit, if it exists.

a. 0 b. –3 c. 3 d. 7 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 22. Use properties of limits and algebraic methods to find the limit, if it exists. Copyright Cengage Learning. Powered by Cognero.

Page 856

a. 0 b. c. d. e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:33 AM DATE MODIFIED: 11/16/2020 11:33 AM 23. Graph the function with a graphing utility and use it to predict the limit. Check your work either by using the

table feature of the graphing utility or by finding the limit algebraically.

a. b. 125 c. d. 0 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 24. Graph the function with a graphing utility and use it to predict the limit. Check your work either by using the

table feature of the graphing utility or by finding the limit algebraically.

a. 14 b. 3 Copyright Cengage Learning. Powered by Cognero.

Page 857

c. d. 0 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 25. Graph the function with a graphing utility and use it to predict the limit. Check your work either by using the

table feature of the graphing utility or by finding the limit algebraically.

a. 0 b. c. d. e. does not exist ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 26. If

and

, find

a. 15 b. 8 c. –2 d. –7 e. does not exist ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

Page 858

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 27. If

and

, find

a. –94 b. –84 c. –69 d. 0 e. does not exist ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

28. If

and

, find

a. b. c. –11 d. e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 29. If the profit function for a product is given by

, find

a. –3,582 b. –1,582 c. –2,707 d. –4,082 e. does not exist Copyright Cengage Learning. Powered by Cognero.

Page 859

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 30. If the revenue for a product (in dollars) is

, find

and the average revenue per unit is

a. $530 per unit b. $555 per unit c. $540 per unit d. $0 per unit e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 31. If the revenue for a product (in dollars) is

, find

, and the average revenue per unit is

a. $500 per unit b. $0.5 per unit c. $50 per unit d. $0 per unit e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 32. Suppose that the cost C in dollars of obtaining water that contains p percent impurities is given by Copyright Cengage Learning. Powered by Cognero.

Page 860

. Find

, if it exists.

a. $0 b. $12 c. $108 d. $1,200 e. does not exist ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 33. Suppose that the cost C in dollars of obtaining water that contains p percent impurities is given by

. Find

, if it exists.

a. $0 b. $17 c. $170 d. $1,700 e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 34. A certain calling card costs 5.9 cents per minute to make a call, rounded up to the nearest minute. However,

when the card is used at a pay phone, there is an additional 59 cent connection fee. If is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent.

a. $0 b. $0.81 c. $0.65 d. $0.63 e. does not exist Copyright Cengage Learning. Powered by Cognero.

Page 861

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 35. A certain calling card costs 6.2 cents per minute to make a call, rounded up to the nearest minute. However,

when the card is used at a pay phone, there is an additional 62 cent connection fee. If is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent.

a. $0 b. $0.62 c. $0.68 d. $0.74 e. does not exist ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 36. A certain calling card costs 4.5 cents per minute to make a call, rounded up to the nearest minute. However,

when the card is used at a pay phone, there is an additional 45 cent connection fee. If is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent.

a. $0 b. $0.45 c. $0.54 d. $0.50 e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 862

DATE CREATED: DATE MODIFIED:

11/16/2020 11:34 AM 11/16/2020 11:34 AM

37. For the given x-value, use the figure to determine whether the function is continuous or discontinuous at that

x-value.

a. continuous b. discontinuous ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 38. Determine whether the function is continuous or discontinuous at the given x-value.

a. continuous b. discontinuous ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 39. Determine whether the function is continuous or discontinuous at the given x-value.

a. continuous Copyright Cengage Learning. Powered by Cognero.

Page 863

b. discontinuous ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 40. Determine whether the given function is continuous. If it is not, identify where it is discontinuous.

a. discontinuous at b. discontinuous at c. discontinuous at d. discontinuous at e. continuous everywhere ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

41. Determine whether the given function

is continuous. If

is not continuous, identify

where it is discontinuous and which condition(s) fails to hold. a.

is discontinuous at

since

is not defined and

does not exist.

is discontinuous at

since

is not defined and

does not exist.

is discontinuous at

since

is not defined and

does not

since

is not defined and

does not

exist. d.

is continuous. e.

is discontinuous at exist. Copyright Cengage Learning. Powered by Cognero.

Page 864

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 42. Determine whether the given function is continuous. If it is not, identify where it is discontinuous. You can

verify your conclusions by graphing the function with a graphing utility, if one is available.

discontinuous at b. discontinuous at c. discontinuous at d.

discontinuous at e. continuous everywhere ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 43. Determine whether the given function is continuous. If it is not, identify where it is discontinuous and which

condition fails to hold. You can verify your conclusions by graphing the function with a graphing utility, if one is available.

a. discontinuous at b. discontinuous at c. discontinuous at d. discontinuous at e. continuous everywhere ANSWER: POINTS:

e 1

Page 865

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 44. This problem contains a function and its graph, where

. Use the graph to determine, as well as you can, the vertical asymptote. Check your conclusion by using the function to determine the vertical asymptote analytically.

a. b. c. d. e. no vertical asymptote ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 45. This problem contains a function and its graph, where

can,

. Use the graph to determine, as well as you

. Check your conclusion by using the function to determine

analytically.

Page 866

a. 6 b. 1 c. 5 d. 0 e. does not exist ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 46. This problem contains a function and its graph, where

can,

. Use the graph to determine, as well as you

. Check your conclusion by using the function to determine

analytically.

Page 867

a. 3 b. 0 c. 4 d. 1 e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 47. This problem contains a function and its graph, where

. Use the graph to determine, as well as you can, the horizontal asymptote. Check your conclusion by using the function to determine the horizontal asymptote analytically.

Page 868

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 48. Use analytic methods to evaluate the limit and determine which type of asymptote (if any) it represents. You

can verify your conclusion by graphing the function with a graphing utility, if one is available.

a. limit = 0, vertical asymptote b. limit = 0, horizontal asymptote c. limit = 2, horizontal asymptote d. limit = 2, vertical asymptote e. does not exist ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM Copyright Cengage Learning. Powered by Cognero.

Page 869

DATE MODIFIED:

11/16/2020 11:34 AM

49. Use analytic methods to evaluate the limit and determine which type of asymptote (if any) it represents. You

can verify your conclusion by graphing the function with a graphing utility, if one is available.

a. limit = 3, vertical asymptote b. limit = 6, horizontal asymptote c. limit = 6, vertical asymptote d. limit = 3, horizontal asymptote e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 50. Use analytic methods to evaluate the limit and determine which type of asymptote (if any) it represents. You

can verify your conclusion by graphing the function with a graphing utility, if one is available.

a. limit = 14, horizontal asymptote b. limit = 14, vertical asymptote c. limit = 3, horizontal asymptote d. limit = 3, vertical asymptote e. does not exist, no asymptote ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 51. Graph the function using a window with

and

. What does the graph indicate about

Page 870

a. –5 b. 5 c. 30 d. 0 e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 52. Use a table utility with x-values larger than 10,000 to investigate

about

. What does the table indicate

a. –5 b. 5 c. 20 d. 0 e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 53. Use analytic methods to find any point of discontinuity for the given function.

a. b. c. d. e. continuous everywhere ANSWER:

Page 871

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 54. Use analytic methods to find the limit as

for the given function.

a. 880 b. 200 c. –880 d. –200 e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 55. Use analytic methods to find the limit as

for the given function.

a. –1400 b. 1400 c. –660 d. 660 e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 56. Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a

product is given by

, where t is the number of days on the job. Is this function continuous for all

Page 872

values of t? a. Yes b. No ANSWER: No POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 57. Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a

product is given by

, where t is the number of days on the job. Is this function continuous at

a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 58. Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a

product is given by

, where t is the number of days on the job. Is this function continuous for all

a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 59. Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a

product is given by

, where t is the number of days on the job. What is the domain for this

application? a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

Page 873

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 60. Suppose that the cost C of removing p percent of the particulate pollution from the exhaust gases at an

industrial site is given by

. Describe any discontinuities for C(p). Explain what each

discontinuity means. a. C(p) is discontinuous at

. This means that not all pollution can be removed.

b. C(p) is discontinuous at

. This means that none of the pollution can be removed.

c. C(p) is continuous everywhere. d. C(p) is discontinuous at

. This means that not all pollution can be removed.

e. C(p) is discontinuous at

. This means that none of the pollution can be removed.

spending C dollars is given by

. Find the percent of the pollution that could be removed if

spending C were allowed to increase without bound. a. 1,600% b. 16,000% c. 0% d. 200% e. 100% ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 62. The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of Copyright Cengage Learning. Powered by Cognero.

Page 874

Excelsior Electric Membership Corporation from November through June is given by the function

What is the monthly charge if 1,600 kWh of electricity is consumed in a month? Round your answer to two decimal places. a. $1,600 b. $160.40 c. $139.50 d. $64.50 e. $114.50 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 63. The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of

Excelsior Electric Membership Corporation from November through June is given by the function . Is C continuous at

a. Yes b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 64. The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of

Excelsior Electric Membership Corporation from November through June is given by the function . Is C continuous at

a. Yes Copyright Cengage Learning. Powered by Cognero.

Page 875

b. No ANSWER: Yes POINTS: 1 QUESTION TYPE: Yes / No HAS VARIABLES: True DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 65. For the given function, find the average rate of change over the specified interval.

over a. 0 b. 5 c. 7 d. –19 e. 19 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 66. Given

, find the average rate of change of f (x) over the following pair of intervals using a

calculator if desired: and a. 13.9 and 13.99 b. 16.9 and 16.99 c. 15.90 and 15.99 d. 15.90 and 16.99 e. 13.9 and 15.99 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 67. Let

that

. Use the definition of derivative and the Procedure/Example table in this section to verify . Then, find the instantaneous rate of change of f (x) at

. Page 876

a. –31 b. –19 c. 12 d. 6 e. –12 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 68. Let

that

. Use the definition of derivative and the Procedure/Example table in this section to verify . Then, find the slope of the tangent to the graph of

a. –52 b. –27 c. 52 d. 27 e. 0 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 69. The tangent line to the graph of f (x) at

is shown. On the tangent line, P is the point of tangency and A is another point on the line. Use the coordinates of P and A to find the slope of the tangent line.

Page 877

a. 2 b. 4 c. 2 d. –2 e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 70. The tangent line to the graph of f (x) at

is another point on the line. Find

is shown. On the tangent line, P is the point of tangency and A

Page 878

a. 2 b. 5 c. 1 d. 4 e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 71. The tangent line to the graph of

at is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find the instantaneous rate of change of at P.

a. 4 b. 3 c. –1 d. 3 e. does not exist ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

Page 879

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 72. For the function in this problem, find the derivative, by using the definition.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 73. For the function in this problem, find the instantaneous rate of change of the function at the given value.

; a. 39 b. 9 c. 23 d. 25 e. 109 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 74. For the function in this problem, find the slope of the tangent line at the given value.

; a. 10 b. 14 Copyright Cengage Learning. Powered by Cognero.

Page 880

c. 8 d. 4 e. 20 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 75. For the function in this problem, approximate

by using the numerical derivative feature of a graphing

utility.

a. 117 b. 99 c. 27 d. –63 e. 107 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

76. For the function in this problem, approximate

by computing

with

. Round

your answer to four decimal places.

a. 11.9784 b. 12.0360 c. 12.0018 d. 12.1252 e. 11.8784 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 881

DATE CREATED: DATE MODIFIED:

11/16/2020 11:34 AM 11/16/2020 11:34 AM

77. For the function in this problem, approximate

near the point by graphing the function on a graphing utility. Then, zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. Round your answer to three decimal places. a. 96.420 b. 213.964 c. 210.420 d. 94.024 e. 213.640 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 78. For the function in this problem, approximate

by using the numerical derivative feature of a graphing

utility. Round your answer to three decimal places.

a. –0.877 b. –1.000 c. –1.123 d. –0.766 e. –1.234 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

79. For the function in this problem, approximate

by computing

with

Page 882

a. –0.0412 b. 0.2489 c. –1.0566 d. –0.0724 e. 0.0296 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 80. For the function in this problem, approximate

near by graphing the function on a graphing utility. Then, zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. Round your answer to four decimal places.

a. –6.7706 b. –5.7414 c. –0.2602 d. –0.2696 e. –0.8669 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 81. Use the given table to approximate

x f(x)

–4.1 2,543.185

–4 2,304.000

as accurately as you can.

–3.99 2,281.046

–3.9 2,082.097

a. 229.537 b. –229.537 c. 2,295.374 d. –2,295.374 e. 2,281.046 ANSWER: POINTS:

d 1

Page 883

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 82. In the figure given in this problem, at points A and D draw an approximate tangent line and then use it to

answer the following question. Is

greater at point A or at point D?

a. point A b. point D ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 83. Find

given the equation of the line tangent to the graph of

a. b.

Page 884

c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 84. If the instantaneous rate of change of g(x) at

, write the equation of the line tangent to the

graph of g(x) at a. b.

x=– y+4 x= y+4

x= y–4

y= x–4

y= x+4

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 85. Because the derivative of a function represents both the slope of the tangent to the curve and the

instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. In this problem, use the graph of the function given in the figure.

Over what interval(s) (a) through (d) is the rate of change of f (x) positive? a. b c Copyright Cengage Learning. Powered by Cognero.

Page 885

b. c d c. a b c d d. a c e. a b d ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 86. Because the derivative of a function represents both the slope of the tangent to the curve and the

instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. In this problem, use the graph of the function given in the figure.

Over what interval(s) (a) through (d) is the rate of change of f (x) negative? a. a b c d b. a c c. a d. c e. a b ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 87. Because the derivative of a function represents both the slope of the tangent to the curve and the

instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. In this problem, use the graph of the function given in the figure.

Page 886

At what point(s) A through E is the rate of change of f (x) equal to zero? a. A C E b. A D E c. C D d. D E e. B D E ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 88. Given the graph of

in the figure, determine all x-values from F, G, H, or I for which the function is

continuous.

a. G b. G H I c. G H I d. F G e. G H ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM Copyright Cengage Learning. Powered by Cognero.

Page 887

89. Given the graph of

in the figure, determine all x-values from F, G, H, or I for which the function is

differentiable.

a. F I b. F H I c. G H I d. G H e. F G H I ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 90. Find the slope of the tangent to the graph of

at any point.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 91. Find the slope of the tangent at

Page 888

a. 32 b. 22 c. 40 d. 14 e. 43 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 92. Write the equation of the line tangent to the graph of f (x) at

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 93. The total revenue function (in dollars) for a blender is

, where x is the number of units sold. What is the average rate of change in revenue R(x) as x increases from 50 to 60 units? a. $853.20 per unit b. $84.00 per unit c. $72.40 per unit d. $74.00 per unit e. $73.20 per unit ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:34 AM 11/16/2020 11:34 AM

94. Suppose the figure shows the total cost graph for a company. Arrange the average rates of change of total

cost from A to B, B to C, and A to C from smallest to greatest.

a. A to B then A to C then B to C b. A to C then A to B then B to C c. B to C then A to B then A to C d. A to B then B to C then A to C e. A to C then B to C then A to B ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 95. Suppose the total revenue function for a blender is

where x is the number of units

sold. What function gives the marginal revenue? a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 96. Suppose the total revenue function for a blender is

where x is the number of units sold. What is the marginal revenue when 1000 units are sold, and what does it mean? a. 24. Selling an additional unit when 1000 have been sold increases revenue by $24. b. –26. Selling an additional unit when 1000 have been sold increases revenue by $–26. c. 74. Selling an additional unit when 1000 have been sold increases revenue by $74. d. 50. Selling an additional unit when 1000 have been sold decreases revenue by $74. e. 50. Selling an additional unit when 1000 have been sold decreases revenue by $50. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 97. Suppose the total revenue function for a blender is

dollars where x is the number of units sold. What is the marginal revenue when 900 units are sold, and what does it mean? a. 9. Selling an additional unit when 900 have been sold increases revenue by $9. b. 81. Selling an additional unit when 900 have been sold increases revenue by $81. c. 72. Selling an additional unit when 900 have been sold increases revenue by $72. d. 9. Selling an additional unit when 900 have been sold decreases revenue by $72. e. –63. Selling an additional unit when 900 have been sold decreases revenue by $63. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM Copyright Cengage Learning. Powered by Cognero.

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98. Suppose the total revenue function for a blender is

where x is the number of units sold. What is the marginal revenue when 125 units are sold, and what does it mean? a. 5. Selling an additional unit when 125 have been sold increases revenue by $5. b. 10. Selling an additional unit when 125 have been sold increases revenue by $10. c. 16. Selling an additional unit when 125 have been sold increases revenue by $16. d. 5. Selling an additional unit when 125 have been sold decreases revenue by $10. e. 0. Selling an additional unit when 125 have been sold does not change the revenue. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 99. If the total revenue function for a toy is

dollars and the total cost function is

dollars. What is the instantaneous rate of change of profit if 10 units are produced and sold? Explain its meaning. a. 2.20. Selling an additional unit when 10 have been sold increases profit by $2.20. b. 3.10. Selling an additional unit when 10 have been sold increases profit by $3.10. c. 5.80. Selling an additional unit when 10 have been sold increases profit by $5.80. d. 8.00. Selling an additional unit when 10 have been sold increases profit by $8.00. e. 367.00. Selling an additional unit when 10 have been sold increases profit by $367.00. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 100. Suppose the graph shows a manufacturer’s total revenue, in thousands of dollars, from the sale of x cellular

telephones to dealers. Is the marginal revenue greater at 100 cell phones or at 800?

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a. 100 b. 800 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 101. Suppose the graph shows a manufacturer’s total revenue, in thousands of dollars, from the sale of x cellular

telephones to dealers. Decide whether the sale of the 300st cell phone or the 1000st brings in more revenue.

Page 893

a. The 300st phone b. The 1000st phone ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 102. Find the derivative of the function.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

Page 894

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 103. Find the derivative of the function.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 104. At the indicated point, find the slope of the tangent to the curve.

a. –13 b. 162 c. 17 d. 23 e. –37 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 105. At the indicated point, find the instantaneous rate of change of the function.

a. 59 Copyright Cengage Learning. Powered by Cognero.

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b. 39 c. 176 d. 23 e. 27 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 106. Find the derivative of the function.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 107. Find the derivative of the function.

a. b. c. d.

Page 896

e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 108. Find the derivative of the function.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 109. Write the equation of the tangent line to each curve at the indicated point. As a check, graph both the

function and the tangent line.

a. b. c. d. e. ANSWER:

Page 897

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 110. Find the coordinates of points where the graph of

has horizontal tangents. As a check, graph see whether the points you found look as though they have horizontal tangents.

and

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 111. Find the coordinates of points where the graph of

has horizontal tangents. As a check, graph see whether the points you found look as though they have horizontal tangents.

and

a. b. c. d. e. ANSWER:

Page 898

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 112. Find the derivative at the given x-value with the appropriate rule.

a. –10 b. –83 c. 0 d. –5 e. 10 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 113. Find the derivative at the given x-value with the numerical derivative feature of a graphing utility.

at a. –1 b. –2 c. –16 d. 2 e. 0 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 114. Calculate the derivative of the function with the appropriate formula.

Page 899

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 115. The tangent line to a curve at a point closely approximates the curve near the point. In fact, for x-values

close enough to the point of tangency, the function and its tangent line are virtually indistinguishable. This problem explores this relationship. Write the equation of the tangent line to the curve at the indicated point. To check your answer, use a graphing utility to graph both the function and its tangent line, and repeatedly zoom in on the point of tangency until the function and the tangent line cannot be distinguished.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

Page 900

d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 117. For the function given, find all x-value(s) where

a. b.

c. d. e.

and

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM Copyright Cengage Learning. Powered by Cognero.

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119. For the function given, find all x-values where

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 120. For the function given, find all x-values where f (x) has a local maximum point.

a. b. c. d. e. no such x-values exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 121. For the function given, find all x-values where f (x) has a local minimum point.

a. b. c. d. e. no such x-values exist Copyright Cengage Learning. Powered by Cognero.

Page 902

is rising.

a. b.

c. d. e.

and

is falling.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 124. Suppose that a wholesaler expects that his monthly revenue (in dollars) for small television sets will be

, where x is the number of units sold. Find the marginal revenue, and interpret Copyright Cengage Learning. Powered by Cognero.

Page 903

your answer when the quantity sold is

a. 376. The additional revenue from the 301st unit is about $376. b. 48. The additional revenue from the 301st unit is about $48. c. 24. The additional revenue from the 301st unit is about $24. d. 352. The additional revenue from the 301st unit is about $352. e. 30. The additional revenue from the 301st unit is about $30. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 125. The monthly output of a certain product is

where x is the capital investment in millions of

dollars. Find which can be used to estimate the effect on the output if an additional capital investment of $1 million is made. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

126. Suppose that the demand for a product depends on the price p according to

, where p is in dollars. Find and explain the meaning of the instantaneous rate of change of demand with respect to price when . a. –0.74. If price increases by $1, the demand will decrease approximately 0.74 units. b. 0.74. If price increases by $1, the demand will increase approximately 0.74 units. Copyright Cengage Learning. Powered by Cognero.

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c. –1.48. If price increases by $1, the demand will decrease approximately 1.48 units. d. –99.78. If price increases by $1, the demand will increase approximately 99.78 units. e. 1.48. If price increases by $1, the demand will decrease approximately 1.48 units. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 127. Suppose that the total cost function, in dollars, for a certain commodity is given by

, where x is the number of units produced. Find the instantaneous rate of change of the average cost

for any level of production.

, where x is the number of units produced. The average cost is given by for any level of production. Find the level of production where the instantaneous rate of change of the average cost equals zero. Round your answer to two decimal places. a. b. c. d. e. ANSWER: POINTS:

c 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 129. Suppose that the cost C (in dollars) of processing the exhaust gases at an industrial site to ensure that only p

percent of the particulate pollution escapes is given by

. Find the rate of change of cost C

with respect to the percent of particulate pollution that escapes when

(percent) and interpret your answer.

a. 0. The cost would not change if 6% instead of 5% of the particulate pollution were allowed to escape. b. 9,500. The cost would increase by approximately $9,500 if 6% instead of 5% of the particulate

pollution were allowed to escape. c. 9,500. The cost would decrease by approximately $9,500 if 6% instead of 5% of the particulate pollution were allowed to escape. d. –2,000. The cost would decrease by approximately $2,000 if 6% instead of 5% of the particulate pollution were allowed to escape. e. 2,000. The cost would increase by approximately $2,000 if 6% instead of 5% of the particulate pollution were allowed to escape. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 130. Suppose that for fiddler crabs, the allometric relationship between the weight C of the claw and the weight

W of the body is given by respect to body weight.

. Find the function that gives the rate of change of claw weight with

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

Page 906

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

131. Find

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

132. If

, find

Page 907

133. Find the derivative, but do not simplify your answer.

, but do not simplify your answer.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 135. For the given function, find the slope of the tangent line at

Page 908

a. –76 b. –28 c. –2 d. –12 e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 136. For the given function, find the instantaneous rate of change at

a. 201 b. 69 c. 819 d. –339 e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 137. Find the indicated derivative and simplify.

for a.

Page 909

for a.

for

Page 910

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

140. Find

and simplify.

Page 911

for a.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 142. For the given function, find the slope of the tangent line at

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM Copyright Cengage Learning. Powered by Cognero.

Page 912

DATE MODIFIED:

11/16/2020 11:34 AM

143. For the given function, find the instantaneous rate of change of the function at

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 144. Write the equation of the tangent line to the graph of the function at the indicated point. Check the

reasonableness of your answer by graphing both the function and the tangent line. at a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 145. Write the equation of the tangent line to the graph of the function at the indicated point. Check the

reasonableness of your answer by graphing both the function and the tangent line. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 146. Use the numerical derivative feature of a graphing utility to find the derivative of the function at the given

x-value. Round your answer to three decimal places. at a. –0.065 b. 0.130 c. –0.043 d. –0.648 e. 0.648 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 147. Find the derivative of the given function, and use this to find x-values where the function has horizontal

tangent lines.

a. b.

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c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 148. If the cost C (in dollars) of removing p percent of the particulate pollution from the exhaust gases at an

industrial site is given by , find the rate of change of C with respect to p. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 149. Suppose the revenue (in dollars) from the sale of x units of a product is given by the equation

. Find the marginal revenue when 48 units are sold. Round your answer to the nearest dollar. a. Copyright Cengage Learning. Powered by Cognero.

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b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 150. McRobert’s TV Shop sells 200 sets per month, at a price of $600 per unit. Market research indicates that

the shop can sell one additional set for each $1 it reduces the price. The total revenue (in dollars) is given by , where x is the number of additional sets beyond the original 200. What is the marginal revenue if 150 more units are sold? a. $1,100 b. $250 c. $500 d. $100 e. $700 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 151. The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to the equation

where

mg is the maximum dosage. If the rate of reaction with respect to the dosage

defines the sensitivity to the drug, find the sensitivity. a. b. c. d. e.

sensitivity: sensitivity: sensitivity: sensitivity: sensitivity:

ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 152. Suppose that the proportion P of voters who recognize a candidate’s name t months after the start of the

campaign is given by

. Find the rate of change of P when

and explain its meaning.

In the next month the recognition will increase about 12.8%. b.

In the next month the recognition will increase about 7.7%. c.

In the next month the recognition will increase about 7.7%. d.

In the next month the recognition will increase about 12.8%. e.

In the next month the recognition will increase about 7.7%. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 153. Suppose the lowest temperature recorded in Indianapolis, Indiana, was

per hour and

If x is the wind speed in miles , then the wind chill (in degrees Fahrenheit) for an air temperature of can be

approximated by the function

. At what rate is the wind chill changing when the

wind speed is 10 mph? Round your answer to two decimal places. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

Page 917

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 154. Suppose that for selected years from 1970 to 2006, the following table shows the percent of total U.S.

workers who are female. Year 1970 1975 1980 1985 1990 1995 2000 2005 2006

% Female 32.5 36.9 40.3 43.2 45.5 47.5 49.2 50.7 51.0

Assume these data can be modeled with the function

where p(t) is the percent of the U.S.

workforce that is female and t is the number of years past 1970. Find the function that models the instantaneous rate of change of the percent of U.S. workers who are female. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 155. Suppose that for selected years from 1970 to 2006, the following table shows the percent of total U.S.

workers who are female. Copyright Cengage Learning. Powered by Cognero.

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Year 1970 1975 1980 1985 1990 1995 2000 2005 2006

% Female 29.6 33.8 37.2 40.0 42.3 44.2 45.8 47.2 47.5

Assume these data can be modeled with the function

where p(t) is the percent of the U.S.

workforce that is female and t is the number of years past 1970. Find the instantaneous rate of change in 2000 and 2006 by using the function that models the instantaneous rate of change of the percent of U.S. workers who are female. Round your answer to three decimal places. a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

156. Find

and

and a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 157. Differentiate the given function.

ANSWER: POINTS:

c 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

159. Differentiate the function

a. b.

Page 921

Page 922

. A graphing utility’s numerical derivative

feature may be used to check your work.

a. 3 b. 6 c. 2 d. 0 e. 12 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 164. For the given function, find the instantaneous rate of change at

. A graphing utility’s numerical

derivative feature may be used to check your work.

a. 10 b. 27 c. 270 Copyright Cengage Learning. Powered by Cognero.

Page 923

d. 480 e. 324 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 165. Write the equation of the line tangent to the graph of the given function at the indicated point. As a check,

graph both the function and the tangent line you found to see whether it looks correct.

for the given function.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

Page 924

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 167. Find all x-values for which the slope of the tangent is 0 for the given function.

where the slope of the tangent is 0 for the given function.

Page 925

Page 926

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 173. Ballistics experts are able to identify the weapon that fired a certain bullet by studying the markings on the

bullet. Tests are conducted by firing into a bale of paper. Suppose the distance s, in inches, that the bullet travels into the paper is given by for second, find the velocity of the bullet one-tenth of a second after it hits the paper. Round your answer to two decimal places. a.

in/sec

Page 927

in/sec

d. e.

in/sec in/sec

Find the

marginal revenue when 16 units are sold and interpret your result. a. 200. So, if the sales go from 16 units sold to 15 units sold, the revenue will increase by about $200. b. 70. So, if the sales go from 16 units sold to 17 units sold, the revenue will increase by about $70. c. 16. So, if the sales go from 16 units sold to 17 units sold, the revenue will increase by about $16. d. 400. So, if the sales go from 16 units sold to 17 units sold, the revenue will increase by about $400. e. 100. So, if the sales go from 16 units sold to 17 units sold, the revenue will increase by about $100. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 175. Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit of the

product according to

where p is in dollars. What is the rate of change in sales volume

when the price is $20? Round your answer to three decimal places. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

Page 928

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 176. A chain of auto service stations has found that its monthly sales volume y (in dollars) is related to the price

p (in dollars) of an oil change according to

. What is the rate of change of sales volume

when the price is $30? Interpret your answer. Round your answer to the nearest dollar. a. –5,071. If the price of an oil change goes from $30 to $31, the monthly sales volume will decrease by

$5,071. b. –290. If the price of an oil change goes from $30 to $31, the monthly sales volume will increase by $290. c. –290. If the price of an oil change goes from $30 to $31, the monthly sales volume will decrease by $290. d. –145. If the price of an oil change goes from $30 to $31, the monthly sales volume will decrease by $145. e. –145. If the price of an oil change goes from $30 to $31, the monthly sales volume will increase by $145. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 177. The daily sales S (in thousands of dollars) attributed to an advertising campaign are given by

where t is the number of weeks the campaign runs. What is the rate of change of sales at

? Round your answer to five decimal places. a. b. c. d. e.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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178. The data entry speed (in words per minute) of a data clerk trainee is

, where x is the number of hours of training he has had. What is the rate at which his speed is changing and what does this rate mean when he has had 15 hours of training? a. If the training hours are increased from 15 to 16 hours, the student’s typing speed will increase about

4.00 words per minute. b. If the training hours are increased from 15 to 16 hours, the student’s typing speed will increase about 10.00 words per minute. c. If the training hours are increased from 15 to 16 hours, the student’s typing speed will increase about 5.00 words per minute. d. If the training hours are increased from 15 to 16 hours, the student’s typing speed will decrease about 4.00 words per minute. e. If the training hours are increased from 15 to 16 hours, the student’s typing speed will decrease about 1.75 words per minute. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 179. If an IRA is a variable-rate investment for 20 years at rate r percent per year, compounded monthly, then

the future value S that accumulates from an initial investment of $2,000 is

. What is

the rate of change of S with respect to r and what does it tell us if the interest rate is 8%? Round your answer to two decimal places. a. The future value increases by approximately $2,082.77 when the interest rate increases from 8% to

9%. b. The future value increases by approximately $1,957.67 when the interest rate increases from 8% to 9%. c. The future value increases by approximately $3,953.74 when the interest rate increases from 8% to 9%. d. The future value increases by approximately $1,947.87 when the interest rate increases from 8% to 9%. e. The future value increases by approximately $3,888.94 when the interest rate increases from 8% to 9%. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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180. The table gives the yearly U.S. federal budget deficit (as a negative value) or surplus (as a positive value)

in billions of dollars from 1990 to 2004. Year Deficit or Surplus Year Deficit or Surplus 1990 –221.2 1998 70.0 1991 –269.4 1999 124.4 1992 –290.4 2000 237.0 1993 –255.0 2001 127.0 1994 –203.1 2002 –159.0 1995 –164.0 2003 –374.0 1996 –107.5 2004 –445.0 1997 –22.0 Source: Budget of the United States Government Assume the federal budget deficit (or surplus) can be modeled with the function , where D is in billions of dollars and t is the number of years past 1980. Use the model to find and interpret the instantaneous rate of change of the U.S. federal deficit (or surplus) in 1996. a. This model predicts a budget deficit increase of $469.9 billion from 1996 to 1997. b. This model predicts a budget deficit increase of $83.1 billion from 1996 to 1997. c. This model predicts a budget deficit decrease of $831.3billion from 1996 to 1997. d. This model predicts a budget deficit decrease of $83.1 billion from 1996 to 1997. e. This model predicts a budget deficit decrease of $469.9 billion from 1996 to 1997. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 181. The table gives the yearly U.S. federal budget deficit (as a negative value) or surplus (as a positive value)

in billions of dollars from 1990 to 2004. Year Deficit or Surplus 1990 –221.2 1991 –269.4 1992 –290.4 1993 –255.0 1994 –203.1 1995 –164.0 1996 –107.5

Year Deficit or Surplus 1998 70.0 1999 124.4 2000 237.0 2001 127.0 2002 –159.0 2003 –374.0 2004 –445.0

Page 931

1997 –22.0 Source: Budget of the United States Government Assume the federal budget deficit (or surplus) can be modeled with the function , where D is in billions of dollars and t is the number of years past 1980. Use the data to find an average rate of change that approximates the instantaneous rate in 1995. a. The budget deficit increased by an average rate of $56.5 billion from 1995 to 1996. b. The budget deficit increased by an average rate of $811.6 billion from 1995 to 1996. c. The budget deficit decreased by an average rate of $56.5 billion from 1995 to 1996. d. The budget deficit decreased by an average rate of $81.2 billion from 1995 to 1996. e. The budget deficit decreased by an average rate of $590.3 billion from 1995 to 1996. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 182. Find the derivative of the given function. Simplify and express the answer using positive exponents only.

a. b. c. 72 d. 0 e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 183. Find the derivative of the given function. Simplify and express the answer using positive exponents only.

Page 932

Page 933

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 187. Find the derivative of the given function. Simplify and express the answer using positive exponents only. Copyright Cengage Learning. Powered by Cognero.

Page 934

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 189. Find the derivative of the given function. Simplify and express the answer using positive exponents only.

Page 935

. Simplify and express the answer using positive

exponents only. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 191. Find the derivative of the given function. Simplify and express the answer using positive exponents only.

Page 936

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 192. Find the derivative of the given function. Simplify and express the answer using positive exponents only.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM Copyright Cengage Learning. Powered by Cognero.

Page 937

DATE MODIFIED:

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193. Find the derivative of the given function. Simplify and express the answer using positive exponents only.

Page 938

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 195. Find the derivative of the given function. Simplify and express the answer using positive exponents only.

Page 939

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 197. Find the derivative of the given function. Simplify and express the answer using positive exponents only.

e. ANSWER: POINTS:

a 1

Page 940

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 198. Find the derivative of the given function. Simplify and express the answer using positive exponents only.

d. e.

is called the physical productivity function. Suppose that the physical productivity of x construction workers is given by

, find the marginal physical productivity,

a. b. c. d.

Page 941

e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 200. Suppose that the revenue function for a certain product is given by

, where x is in thousands of units and R is in thousands of dollars. Find the marginal revenue (in thousands of dollars per unit) when 3,000 units are sold. Round your answer to two decimal places. a. 63.82 b. –59.77 c. 62.77 d. 59.77 e. 52.77 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

201. If the national consumption function is given by

consume,

find the marginal propensity to

Page 942

find the rate of change of price with respect to the number of appliances. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 203. When squares of side x inches are cut from the corners of a 35-inch-square piece of cardboard, an open-top

box can be formed by folding up the sides. The volume of this box is given by change of volume with respect to the size of the squares.

, find the rate of

a. b. Copyright Cengage Learning. Powered by Cognero.

Page 943

c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 204. Suppose that sales (in dollars) are directly related to an advertising campaign according to

, where t is the number of weeks of the campaign. Find the rate of change of sales after 3 weeks and interpret your answer. Round your answer to two decimal places. a. 31.25. So, during the 4th week, the model predicts that sales will increase approximately $31.25. b. 125.00. So, during the 4th week, the model predicts that sales will increase approximately $125.00. c. 31.25. So, during the 4th week, the model predicts that sales will decrease approximately $31.25. d. 125.00. So, during the 4th week, the model predicts that sales will decrease approximately $125.00. e. 0. So, during the 4th week, the model predicts that sales will remain constant. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 205. Find the second derivative of

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

e 1 Multi-Mode (Multiple choice) True

Page 944

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 206. Find the second derivative.

Page 945

a. b. c. d. e. 0 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 209. Find the third derivative.

a. b. c. 0 d. e. ANSWER: POINTS: QUESTION TYPE:

e 1 Multi-Mode (Multiple choice)

Page 946

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

210. If

, find

Page 947

Find a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 213. Find the indicated derivative.

Find a.

Page 948

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

214. Find

Page 949

Find

ANSWER: POINTS:

b 1

Page 950

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 217. If

, what is the rate of change of

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 218. Use the numerical derivative feature of a graphing utility to approximate the given second derivative to two

decimal places. Round your answer to two decimal places.

a. –11.73 b. –11.82 c. –10.82 d. –0.57 e. –7.82 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 219. Find

Page 951

, and

where

has a maximum point or a minimum point, where

is increasing, and

is decreasing.

a. b. c. d. e. ANSWER:

Page 952

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 222. If the formula describing the distance s (in feet) an object travels as a function of time t (in seconds) is

. What is the acceleration of the object when

a. 0 ft/sec2 b. –38 ft/sec2 c. 102 ft/sec2 d. 38 ft/sec2 e. –102 ft/sec2 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 223. Suppose that the revenue (in dollars) from the sale of a product is given by

x is the number of units sold. How fast is the marginal revenue

, where

changing when

a. 1.96 dollars per unit b. –52.8 dollars per unit c. 52.8 dollars per unit d. –0.26 dollars per unit e. –1.96 dollars per unit ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 224. The amount of photosynthesis that takes place in a certain plant depends on the intensity of light x

according to the equation the intensity changing when

? when

, how fast is the rate of change of photosynthesis with respect to ? Page 953

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 225. The revenue (in thousands of dollars) from the sale of a product is

the number of units sold. At what rate is the marginal revenue sold is 30? Round your answer to four decimal places.

, where x is

changing when the number of units being

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

226. The sales of a product S (in thousands of dollars) are given by

, where x is the advertising

expenditure (in thousands of dollars). Find the rate of change of sales with respect to advertising expenditure. Use the second derivative to find how this rate is changing at . Round your answer to two decimal places. a. 10.80 b. –0.43 c. 0.00 d. –10.80 e. –0.22 ANSWER:

Page 954

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 227. The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given by

where t is the number of weeks the campaign runs. Find the rate of change of sales at any time t and use the second derivative to find how this rate is changing at decimal places, when applicable.

. Round your answer to four

Year Subscriberships Year Subscriberships 1985 0.340 1994 24.134 1986 0.682 1995 33.786 1987 1.231 1996 44.043 1988 2.069 1997 55.312 1989 3.509 1998 69.209 1990 5.283 1999 86.047 1991 7.557 2000 109.478 1992 11.033 2001 128.375 1993 16.009 2002 140.767 Source: The CTIA Semi-Annual Wireless Industry Survey Copyright Cengage Learning. Powered by Cognero.

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Assume that the number of U.S. cellular subscriberships, in millions, can be modeled by the function , where t is the number of years past 1980. Find the function that models the instantaneous rate of change of the U.S. cellular subscriberships. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 229. The following table shows the numbers of U.S. cellular subscriberships (in millions) from 1985 to 2002.

Year 1985 1986 1987 1988 1989 1990 1991 1992 1993

Subscriberships 0.340 0.682 1.231 2.069 3.509 5.283 7.557 11.033 16.009

Year 1994 1995 1996 1997 1998 1999 2000 2001 2002

Subscriberships 24.134 33.786 44.043 55.312 69.209 86.047 109.478 128.375 140.767

Source: The CTIA Semi-Annual Wireless Industry Survey Assume that the number of U.S. cellular subscriberships, in millions, can be modeled by the function , where t is the number of years past 1980. Use the second derivative to estimate how fast the rate of increase in subscriberships was changing in 1999 in millions of subscriberships per year. a. 121.70 b. –121.70 c. 3.73 d. –3.73 e. 0 ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 230. Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a

commodity is

. Find

, and tell what it represents.

a. $16.40. This represents the revenue from the sale of 70 units. b. $2,023.70. This represents the marginal revenue from the sale of 70 units. c. $2,030.00. This represents the marginal revenue from the sale of 70 units. d. $1,589.00. This represents the revenue from the sale of 70 units. e. $6.30. This represents the revenue from the sale of 70 units. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 231. Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a

commodity is

Find the marginal revenue function.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 232. Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a

commodity is Find the marginal revenue at the next unit. Round your answer to two decimal places. Copyright Cengage Learning. Powered by Cognero.

and tell what it predicts about the sale of

Page 957

a. 21.40. The selling of the next unit increases revenue by $21.40. b. 20.80. The selling of the next unit increases revenue by $20.80. c. –642.00. The selling of the next unit decreases revenue by $642. d. –30.00. The selling of the next unit decreases revenue by $30. e. –22.00. The selling of the next unit decreases revenue by $22. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 233. Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a

commodity is answer to two decimal places.

. Find

, and explain what this value represents. Round your

a. $19.00 is the marginal revenue from the 51st unit. b. $16.00 is the marginal revenue from the 51st unit. c. $950.00 is the marginal revenue from the 51st unit. d. $965.94 is the actual revenue from the 51st unit. e. $15.94 is the actual revenue from the 51st unit. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 234. Total revenue is in dollars and x is the number of units. Suppose that in a monopoly market, the demand

function for a product is given by , where x is the number of units and p is the price in dollars. Find the total revenue from the sale of 100 units. a. $9,000 b. $16,920 c. $80 d. $100 e. $90 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 11:34 AM

235. Total revenue is in dollars and x is the number of units. Suppose that in a monopoly market, the demand

function for a product is given by , where x is the number of units and p is the price in dollars. Find and interpret the marginal revenue at 100 units. a. 90. The 101st unit will bring in $90 more in marginal revenue. b. 100. The 101st unit will bring in $100 more in marginal revenue. c. 40. The 101st unit will bring in $40 more in revenue. d. 9,000. The 101st unit will bring in $9,000 more in revenue. e. 4,000. The 101st unit will bring in $4,000 more in revenue. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 236. Total revenue is in dollars and x is the number of units. Suppose that in a monopoly market, the demand

function for a product is given by , where x is the number of units and p is the price in dollars. Is more revenue expected from the 101st unit sold or from the 501st unit sold? a. The 101st unit will bring in more in revenue. b. The 501st unit will bring in more in revenue. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 237. In this problem, cost is in dollars and x is the number of units. Find the marginal cost function for the given

cost function.

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

238. Suppose that the cost function for a commodity is

dollars. Find the marginal cost

at units and tell what this predicts about the cost of producing 1 additional unit. Round your answer to two decimal places. a. 6.39. The cost to produce the 7th unit is predicted to be $6.39. b. 6.00. The cost to produce the 7th unit is predicted to be $6.00. c. 144.72. The cost to produce the 8th unit is predicted to be $144.72. d. 6.78. The cost to produce the 8th unit is predicted to be $6.78. e. 42.00. The cost to produce the 8th unit is predicted to be $42.00. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

239. Suppose that the cost function for a commodity is

dollars. Calculate

find the actual cost of producing the 4th unit. Round your answer to two decimal places. a. $15.00 b. $8.00 c. $11.50 d. $11.00 e. $8.50 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

240. If the cost function for a commodity is Copyright Cengage Learning. Powered by Cognero.

dollars, find the marginal cost at Page 960

units, and tell what this predicts about the cost of producing 2 additional units. Round your answer to two decimal places. a. $32.53. The cost of producing 2 additional units is approximately $65.06. b. $127.19. The cost of producing 2 additional units is approximately $127.19. c. $63.60. The cost of producing 2 additional units is approximately $63.60. d. $63.60. The cost of producing 2 additional units is approximately $127.19. e. $12.64. The cost of producing 2 additional units is approximately $25.28. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 241. The graph of a company’s total cost function is shown. Will the 401st item or the 501st item cost more to

produce?

a. 401st b. 501st ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 961

DATE CREATED: DATE MODIFIED:

11/16/2020 11:34 AM 11/16/2020 11:34 AM

242. The graph of a company’s total cost function is shown. Does this total cost function represent a

manufacturing process that is getting more efficient or less efficient as the production level increases?

a. less efficient b. more efficient ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 243. The graph of a company’s total cost function is shown. Will the 101st item or the 401st item cost more to

produce?

Page 962

a. 101st b. 401st ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 244. The graph of a company’s total cost function is shown. Does this total cost function represent a

manufacturing process that is getting more efficient or less efficient as the production level increases?

Page 963

a. less efficient b. more efficient ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 245. In this problem, cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total

revenue function is given by Find

, and that the total cost function is given by

. Round your answer to two decimal places.

a. $7,200.00 b. $3,866.67 c. $3,333.33 d. $53.33 e. $18.67 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 964

DATE CREATED: DATE MODIFIED:

11/16/2020 11:34 AM 11/16/2020 11:34 AM

246. In this problem, cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total

revenue function is given by

, and that the total cost function is given by

Find the marginal profit function. a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 247. In this problem, cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total

revenue function is given by Find

, and that the total cost function is given by

, and explain what it predicts. Round your answer to two decimal places.

a. 150.00. The profit will increase by approximately $150.00 from the sale of the 101st item. b. 87.78. The profit will increase by approximately $87.78 from the sale of the 101st item. c. 17.78. The profit will increase by approximately $17.78 from the sale of the 101st item. d. 98.89. The profit will decrease by approximately $98.89 from the sale of the 101st item. e. 127.78. The profit will decrease by approximately $127.78 from the sale of the 101st item. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM Copyright Cengage Learning. Powered by Cognero.

Page 965

248. In this problem, cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total

revenue function is given by Find

, and that the total cost function is given by

, and explain what this value represents. Round your answer to two decimal places.

a. 94.88. The sale of the 101st unit will increase profit by $94.88. b. 94.88. The sale of the 101st unit will decrease profit by $94.88. c. 94.75. The sale of the 101st unit will increase profit by $94.75. d. 95.00. The sale of the 101st unit will increase profit by $95.00. e. 95.00. The sale of the 101st unit will decrease profit by $95.00. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 249. The graphs of a company’s total revenue function

and total cost function are shown. From the sale of 50 items, 400 items, and 800 items, rank from smallest to largest the amount of profit received.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

Page 966

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 250. The graphs of a company’s total revenue function

and total cost function are shown. The cost function is a linear function of the number of units sold. From the sale of the 101st item, 501st item, and 701st item, rank from smallest to largest the amount of profit received.

a. 701st, 101st, 501st b. 501st, 701st, 101st c. 701st, 501st, 101st d. 101st, 701st, 501st e. 101st, 501st, 701st ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 251. The graph of a company’s profit function is shown. For the given problem, use the graph to answer the

following question about points A, B, and C. Rank from smallest to largest the amounts of profit received at these points.

Page 967

a. A C B b. A B C c. B C A d. C B A e. B A C ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 252. The graph of a company’s profit function is shown. For the given problem, use the graph to answer the

following questions about points A, B, and C. Rank from smallest to largest the marginal profit at these points.

Page 968

a. A B C b. C A B c. C B A d. B C A e. A C B ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 253. Graph the marginal profit function for the profit function

where P(x) is in dollars and x is the number of units. What level of production and sales will give a zero marginal profit? a. 0 b. 50 c. 40 d. 30 e. 80 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

Page 969

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 254. Graph the marginal profit function for the profit function

where P(x) is in dollars and x is the number of units. At what level of production and sales will profit be at a maximum? a. 0 b. 45 c. 77 d. 13 e. 90 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 255. Graph the marginal profit function for the profit function

where P(x) is in dollars and x is the number of units. What is the maximum profit? Round your answer to two decimal places. a. $0.00 b. $60.00 c. $80.00 d. $15.51 e. $64.49 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM 256. The cost per unit of producing a product is

dollars, where x represents the number of units produced per week. If the equilibrium price determined by a competitive market is $240, how many units should the firm produce and sell each week to maximize its profit? a. 40 b. 20 c. 400 d. none e. as many as possible Copyright Cengage Learning. Powered by Cognero.

Page 970

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:34 AM DATE MODIFIED: 11/16/2020 11:34 AM

1. Use the graph of

to identify at which of the indicated points the derivative

changes from

positive to negative.

a. (5, 6) b. (-1, 2) c. (-1, 2), (2, 4) d. (2, 4), (5, 6) e. (2, 4) ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 2. Use the graph of

to identify at which of the indicated points the derivative

changes from

negative to positive.

Page 971

a. (-1, 2), (2, 4), (5, 6) b. (4, 1) c. (-1, 2), (2, 4) d. (2, 4), (5, 6) e. (5, 6) ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 3. Use the graph of

to identify at which of the indicated points the derivative

does not change

sign.

a. (-1, 2) b. (-1, 2), (2, 4) c. (5, 6) d. (-1, 2), (5, 6) e. (2, 4) ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM Copyright Cengage Learning. Powered by Cognero.

Page 972

4. Use the sign diagram for

to determine all critical values of f (x), where

and

a. b. c.

and

d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 5. Use the sign diagram for

to determine the largest interval on which f (x) increases, where

and

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 6. Use the sign diagram for

to determine the largest interval on which f (x) decreases, where

and

a. Copyright Cengage Learning. Powered by Cognero.

Page 973

b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 7. Use the sign diagram for

and

to determine x-values at which relative maxima occur, where

a. b. c.

and

d. e. no relative maxima ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 8. Use the sign diagram for

to determine x-values at which relative minima occur, where

and

a. b. c.

and

d. e. no relative minima ANSWER: POINTS:

e 1

Page 974

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 9. Make a sign diagram for the function and determine all x-values at which relative maxima occur.

a. b. c. d. e. no relative maxima ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 10. Make a sign diagram for the function and determine all x-values at which relative minima occur.

a. b. c. d. e. no relative minima ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 11. For the given function and graph, estimate the coordinates of the relative maxima by observing the graph,

where

Page 975

e. no relative maxima ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 12. For the given function and graph, estimate the coordinates of the relative minima by observing the graph,

where

Page 976

e. no relative minima ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 13. For the given function and graph, determine all critical value(s), where

Page 977

a. b. c. d.

and

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 14. For the given function and graph, determine all critical point(s), where

Page 978

a. b.

and e.

and

Page 979

b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 16. For the given function, find all critical values.

a. b.

and

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 17. For the given function, find the critical points.

and

e. (

and

ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

Page 980

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 18. For the given function, find all intervals of x-values where the function is increasing.

a. b. c.

d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 20. For the given function, find

Page 981

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 21. For the given function, find the critical values.

and

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 22. For the given function, find the critical points.

Page 982

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 23. For the given function, find intervals of x-values where the function is increasing.

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

Page 983

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 25. For the given function, classify the critical points as relative maxima, relative minima, or points of

inflection. In each case, you may check your conclusions with a graphing utility.

is a relative minimum and

is point of inflection.

is a point of inflection and

is a relative minimum.

is a point of inflection and

is a relative maximum.

is a relative minimum and

is a relative maximum.

is a relative maximum and

is a relative minimum.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 26. For the given function, use the graph to identify x-values for which

. You may use the derivative to

check your conclusion.

Page 984

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 27. For the given function, use the graph to identify x-values for which

. You may use the derivative to

check your conclusion.

Page 985

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 28. For the given function, use the graph to identify the x-value for which

. You may use the derivative to

check your conclusion.

Page 986

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 29. For the given function, find the relative minima.

a. b. c. d. e. no relative minima ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

Page 987

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 30. For the given function, find the relative maxima.

a. b. c. d. e. no relative maxima ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 31. For the given function, find the horizontal points of inflection.

a. b. c. d. e. no horizontal points of inflection ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 32. For the given function find the relative maxima, and sketch the graph. You may check your graph with a

graphing utility.

a. Copyright Cengage Learning. Powered by Cognero.

Page 988

e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 33. For the given function find the relative minima, and sketch the graph. You may check your graph with a

graphing utility.

a. b.

and c.

and d.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 34. Both a function and its derivative are given. Use them to find all critical values.

Page 989

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 35. Both a function and its derivative are given. Use them to find all critical points.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 36. Both a function and its derivative are given. Use them to find intervals on which the function is increasing. Copyright Cengage Learning. Powered by Cognero.

Page 990

b. c.

or e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 37. Both a function and its derivative are given. Use them to find intervals on which the function is decreasing.

a. b. c. d.

or e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 38. Both a function and its derivative are given. Use them to find the relative maxima.

Page 991

a. b. c. d. e. no relative maxima ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 39. Both a function and its derivative are given. Use them to find the relative minima.

a. b. c. d. e. no relative minima ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 40. Use the derivative to locate all critical points. Use a graphing utility if desired. Round your answers to two

decimal places.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

Page 992

d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 41. A graph of

is given. Use the graph to determine all critical values of

a. b. c. d. e.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM Copyright Cengage Learning. Powered by Cognero.

Page 993

DATE MODIFIED: 42. A graph of

11/16/2020 11:43 AM

is given. Use the graph to determine where f (x) is decreasing.

a. b. c. d.

e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 43. A graph of

is given. Use the graph to determine where the graph of

has a relative maximum.

Page 994

is given. Use the graph to determine where the graph of

has a relative minimum.

Page 995

a. b. c. d. e. no relative minima ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 45. Suppose that a chain of auto service stations, Quick-Oil, Inc., has found that its monthly sales volume y (in

thousands of dollars) is related to the price p (in dollars) of an oil change by

. Is y

increasing or decreasing for all values of a. increasing b. decreasing ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 996

DATE CREATED: DATE MODIFIED:

11/16/2020 11:43 AM 11/16/2020 11:43 AM

46. Suppose the average costs of a mining operation depend on the number of machines used, and average costs,

in dollars, are given by values of

, where x is the number of machines used. Find the critical

that lie in the domain of the problem.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 47. Suppose the average costs of a mining operation depend on the number of machines used, and average costs,

in dollars, are given by

, where x is the number of machines used. Over what interval

in the domain do average costs decrease? a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 48. Suppose the average costs of a mining operation depend on the number of machines used, and average costs,

in dollars, are given by

, where x is the number of machines used. Over what interval

in the domain do average costs increase? Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 49. Suppose the average costs of a mining operation depend on the number of machines used, and average costs,

in dollars, are given by

, where x is the number of machines used. How many

machines give minimum average costs? a. Using 14 machines gives the minimum average costs. b. Using zero machines gives the minimum average costs. c. Using 24 machines gives the minimum average costs. d. Using 28 machines gives the minimum average costs. e. Using 33 machines gives the minimum average costs. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 50. Suppose the average costs of a mining operation depend on the number of machines used, and average costs,

in dollars, are given by

, where x is the number of machines used. What is the

minimum average cost? Round your answer to the nearest dollar. a. $0 b. $22 c. $484 d. $242 e. $5,335 ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

Page 998

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 51. The number of milligrams x of a medication in the bloodstream t hours after a dose is taken can be modeled

. For what -values is increasing? Round answers to two decimal places.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 52. The number of milligrams x of a medication in the bloodstream t hours after a dose is taken can be modeled

. Find the t-value at which x is maximum. Round your answer to two decimal places.

a. 0 hours b. 3.61 hours c. 693.38 hours d. 5.61 hours e. 8.80 hours ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 53. The number of milligrams x of a medication in the bloodstream t hours after a dose is taken can be modeled

. Find the maximum value of x. Round your answer to two decimal places.

a. 3.61 mg b. 554.70 mg Copyright Cengage Learning. Powered by Cognero.

Page 999

c. 1220.34 mg d. 11.18 mg e. 1500.40 mg ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 54. Determine whether the given function is concave up or concave down at the indicated point.

at a. concave down b. concave up ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 55. Use the indicated x-values on the graph of

to determine intervals over which the graph is concave

up.

and

b. c. d. e.

and

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:43 AM 11/16/2020 11:43 AM

56. Use the indicated -values on the graph of

to find all the intervals where

a. b.

and

c. d. e.

and

to find the x-coordinate of any horizontal point of

inflection.

a. f b. c c. b d. e e. a ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

Page 1001

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 58. A function and its graph are given. Use the second derivative to determine intervals on which the function is

concave up. Check these results against the graph shown.

or e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 11:43 AM

59. A function and its graph are given. Use the second derivative to determine intervals on which the function is

concave down. Check these results against the graph shown.

or e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 60. A function and its graph are given. Use the second derivative to locate all x-values of points of inflection on Copyright Cengage Learning. Powered by Cognero.

Page 1003

the graph of

. Check these results against the graph shown.

b. c.

, e.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 61. Find all relative maxima of the given function. Copyright Cengage Learning. Powered by Cognero.

Page 1004

a. b. c. d. e. no relative maxima ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 62. Find all relative minima of the given function.

a. b. c. d.

, e. no relative minima ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 63. Find all points of inflection of the given function. Round your answer to two decimal places.

a. b. c. d. e. ANSWER: POINTS:

e 1

Page 1005

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 64. A function and its first and second derivatives are given. Use these to find all critical values.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 65. A function and its first and second derivatives are given. Use these to find the relative maxima.

Page 1006

66. A function and its first and second derivatives are given. Use these to find all relative minima.

a. b. c. d. e. no relative minima ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 67. A function and its first and second derivatives are given. Use these to find all points of inflection.

a. b. c. d. e. no points of inflection ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 68. A function and its graph are given. From the graph, estimate where

Page 1007

Page 1008

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 70. A function and its graph are given. From the graph estimate where

has a relative maximum.

Page 1009

a. b. c. d. e. no relative maxima ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 71. A function and its graph are given. From the graph estimate where

has a relative minimum.

Page 1010

and its graph are given. Use the graph of

to determine where

is concave up.

Page 1011

and its graph are given. Use the graph of

to determine where

is concave

down.

Page 1012

and its graph are given. Use the graph of

to determine where

has a point of

inflection.

Page 1013

a. b. c. d. e. no point of inflection ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 75. Use the graph shown in the figure and identify points from A through I that satisfy the given condition.

and

Page 1014

a. H b. B c. F d. A e. E ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 76. Use the graph shown in the figure and identify points from A through I that satisfy the given condition.

and

a. D b. B c. F d. G e. E ANSWER: POINTS: QUESTION TYPE:

e 1 Multi-Mode (Multiple choice)

Page 1015

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 77. Use the graph shown in the figure and identify points from A through I that satisfy the given condition.

and

a. B b. F c. G d. E e. C ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 78. Use the graph shown in the figure and identify points from A through I that satisfy the given condition.

and

Page 1016

a. G b. A c. F d. D e. B ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 79. The following figure shows the growth of a population as a function of time.

If P represents the population and t represents the time, write a mathematical symbol that represents the rate of change (growth rate) of the population with respect to time. a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

Page 1017

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 80. The following figure shows the growth of a population as a function of time.

Which of A, B, and C correspond(s) to the point(s) at which the growth rate attains its maximum? a. B b. C c. A d. C and A e. none of the above ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 81. The following figure shows the growth of a population as a function of time.

Page 1018

Which of A, B, and/or C correspond(s) to the upper limit of population? a. B b. C c. A d. B and A e. none of the above ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 82. Suppose that the total number of units produced by a worker in hours of an 8-hour shift can be modeled by

the production function

. Find the number of hours before production is maximized.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM Copyright Cengage Learning. Powered by Cognero.

Page 1019

DATE MODIFIED:

11/16/2020 11:43 AM

83. Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be modeled by

the production function . Find the number of hours before the rate of production is maximized. That is, find the point of diminishing returns. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 84. Suppose that the oxygen level P (for purity) in a body of water t months after an oil spill is given

. Find how long it will be before the oxygen level reaches its minimum. a. b. c. d. e. none of the above

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 85. Suppose that the oxygen level P (for purity) in a body of water t months after an oil spill is given

. Find how long it will be before the rate of change of P is maximized. That

is, find the point of diminishing returns. a. b. c. Copyright Cengage Learning. Powered by Cognero.

Page 1020

d. e. none of the above ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 86. The consumer price data can be modeled by the function

represents 1945 and is the consumer price index (CPI) in year predict that the rate of change of the CPI reached its maximum?

, where . During what year does the model

a. 1966 b. 1993 c. 1947 d. 2003 e. 1951 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 87. Find the x-value at which the absolute minimum of f (x) occurs on the interval [a, b].

, a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM

Page 1021

88. Find the x-value at which the absolute maximum of f (x) occurs on the interval [a, b].

, a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 89. Find the absolute maximum for

on the interval

, determine how many units x must be sold to

provide the maximum total revenue in dollars. a. b. c. d. e. ANSWER:

Page 1022

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 91. If the total revenue function for a blender is

, find the maximum revenue.

, find the maximum revenue if production is

limited to at most 100 blenders. a. $6,125 b. $350 c. $35 d. $3,000 e. $100 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 93. A firm has total revenue given by

dollars for x units of a product. Find the

maximum revenue from sales of that product. a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 94. A company handles an apartment building with 60 units. Experience has shown that if the rent for each of

the units is $360 per month, all the units will be filled, but 1 unit will become vacant for each $10 increase in the monthly rate. What rent should be charged to maximize the total revenue from the building if the upper limit on the rent is $600 per month? a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 95. For the revenue function given by

find the maximum average revenue.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

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96. For the revenue function given by

the average revenue equals the marginal revenue. (Note:

, find the x-value where

that is, where

)

a. 0 b. 8 c. 8 d. 2 e. 5 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 97. If the total cost function for a product is

dollars, determine how many units x should

be produced to minimize the average cost per unit? a. 150 units b. 300 units c. 122 units d. 173 units e. 84 units ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 98. If the total cost function for a product is

dollars. Find the minimum average

cost. Round your answer to two decimal places. a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

Page 1025

, show that average costs are minimized at the x-value where

by finding this minimum. Round your answer to two decimal places. (Note:

)

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 100. The graph shows a total cost function. Determine the level of production at which average cost is

minimized.

a. 400 units b. 200 units c. 800 units d. 0 units e. 600 units ANSWER:

Page 1026

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM

101. If the profit function for a commodity is

dollars, determine the number of

units that must be sold to result in maximum profit. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM

102. The profit function for a commodity is

dollars. Find the maximum profit.

Round your answer to the nearest dollar. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 103. A product can be produced at a total cost

If the total revenue is given by Copyright Cengage Learning. Powered by Cognero.

dollars, where x is the number produced. dollars, determine the level of production x that will Page 1027

maximize the profit. a. 8 units b. 27 units c. 133 units d. 17 units e. 99 units ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 104. A product can be produced at a total cost

If the total revenue is given by the nearest dollar.

dollars, where x is the number produced. dollars, find the maximum profit. Round your answer to

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 105. A firm can produce 100 units per week. If its total cost function is

revenue function is

dollars, and its total

dollars, how many units x should it produce to maximize its profit?

a. 1,350 units b. 700 units c. 91 units d. 50 units e. 100 units ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

Page 1028

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 106. A firm can produce 100 units per week. If its total cost function is

revenue function is

dollars, and its total

dollars, find the maximum profit.

a. $4,918 b. $2,100 c. $7,930 d. $2,671 e. $3,986 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 107. The following figure shows the graph of revenue function

and cost function

. At which of

the four -values shown is the profit largest?

a. B b. C c. D d. A e. Profit is largest at more than one x-value. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM Copyright Cengage Learning. Powered by Cognero.

Page 1029

DATE MODIFIED:

11/16/2020 11:43 AM

108. The following figure shows the graph of revenue function

and cost function . At which of the four x-values shown is the slope of the tangent to the revenue curve equal to the slope of the tangent to the cost curve?

a. D b. A c. C d. B e. profit largest at more than one x-value ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 109. The following figure shows the graph of revenue function

and cost function relationship between marginal cost and marginal revenue when profit is at its maximum value?

a. b.

. What is the

<> <

c. Copyright Cengage Learning. Powered by Cognero.

Page 1030

e. no relationship exists ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 110. A travel agency will plan a tour for groups of size 18 or larger. If the group contains exactly 18 people, the

price is $500 per person. However, each person’s price is reduced by $10 for each additional person above the 18. If the travel agency incurs a price of $100 per person for the tour, what size group will give the agency the maximum profit? a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM

111. A small business has weekly average costs (in dollars) of

, where is the number of

units produced each week. The competitive market price for this business’s product is $67 per unit. If production is limited to 477 units per week, find the level of production that yields maximum profit. a. 263 units b. 477 units c. 315 units d. 285 units e. 300 units ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM Copyright Cengage Learning. Powered by Cognero.

Page 1031

DATE MODIFIED:

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112. A small business has weekly average costs (in dollars) of

, where x is the number of

units produced each week. The competitive market price for this business’s product is $64 per unit. If production is limited to 223 units per week, find the maximum profit. (Note:

)

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM

113. The monthly demand function for x units of a product sold by a monopoly is

unit, and its average cost is that maximizes profit. (Note:

dollars per

dollars. If production is limited to 101 units, find the number of units )

a. 34 units b. 101 units c. 61 units d. 24 units e. 19 units ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 114. The manufacturer of GRIPPER tires modeled its return to sales from television advertising expenditures in

two regions, as follows: Region1: Copyright Cengage Learning. Powered by Cognero.

Page 1032

Region2: where and are the sales revenue in millions of dollars, and and are millions of dollars of expenditures for television advertising. How much money will be needed to maximize sales revenue in both districts? Round your answer to the nearest million dollars. a. $25 million b. $58 million c. $33 million d. $27 million e. $29 million ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 115. A ball thrown into the air from a building 110 ft high travels along a path described

where y is the height of the ball in feet and x is the horizontal distance of the ball from

the building in feet. What is the maximum height the ball will reach? Round your answer to one decimal place. a. 148.0 feet b. 185.0 feet c. 165.0 feet d. 178.0 feet e. 145.0 feet ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 116. The profit from a grove of orange trees is given by

dollars, where x is the number of orange trees

per acre. How many trees per acre will maximize the profit? a. 300 b. 80 c. 140 d. 75 Copyright Cengage Learning. Powered by Cognero.

Page 1033

e. 150 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 117. A time study showed that, on average, the productivity of a worker after t hours on the job can be modeled

by , , where is the number of units produced per hour. After how many hours will productivity be maximized? Round your answer to two decimal places. a. 7.24 hours b. 8.00 hours c. 4.19 hours d. 5.00 hours e. 4.83 hours ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 118. Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces of

equipment used, according to

, where x is the number of pieces of equipment used.

Using how many pieces of equipment will minimize the cost? a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 119. An inferior product with a large advertising budget sells well when it is introduced, but sales fall as people Copyright Cengage Learning. Powered by Cognero.

Page 1034

discontinue use of the product. Suppose that the weekly sales S are given by

where S is in

millions of dollars and t is in weeks. After how many weeks will sales be maximized? a. one week b. five weeks c. two weeks d. three weeks e. four weeks ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 120. Suppose that in an election year, the proportion p of voters who recognize a certain candidate’s name t

months after the campaign started is given by

. After how many months is the proportion

maximized? a. 3 months b. 6 months c. 4 months d. 5 months e. 10 months ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 121. The running yard for a dog kennel must contain at least 1,600 square feet. If a 30-foot side of the kennel is

used as part of one side of a rectangular yard with 1,600 square feet, what dimensions will require the least amount of fencing? Round your answer to the nearest feet. a. 160 ft by 10 ft b. 1,600 ft by 1 ft c. 40 ft by 40 ft d. 80 ft by 20 ft e. 320 ft by 5 ft ANSWER:

Page 1035

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 122. From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical

rectangular lots by putting a fence down the middle. Suppose that the fence for the outside boundary costs $5 per foot and the fence for the middle costs $3 per foot. If each lot contains 3,200 square feet, find the dimensions of each lot that yield the minimum cost for the fence. Round your answer to two decimal places. a. Dimensions are 46.17 ft for the side parallel to the divider and 69.31 ft for the other side. b. Dimensions are 69.31 ft for the side parallel to the divider and 46.17 ft for the other side. c. Dimensions are 56.57 ft for the side parallel to the divider and 56.57 ft for the other side. d. Dimensions are 49.61 ft for the side parallel to the divider and 64.50 ft for the other side. e. Dimensions are 64.50 ft for the side parallel to the divider and 49.61 ft for the other side. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 123. A rectangular area is to be enclosed and divided into thirds. The family has $900 to spend for the fencing

material. The outside fence costs $10 per running foot installed, and the dividers cost $22 per running foot installed. What are the dimensions that will maximize the area enclosed? Round your answer to two decimal places. a. Dimensions are 70.60 ft for the side parallel to the dividers and –8.00 ft for the other side. b. Dimensions are –8.00 ft for the side parallel to the dividers and 70.60 ft for the other side. c. Dimensions are 3.30 ft for the side parallel to the dividers and 13.00 ft for the other side. d. Dimensions are 7.00 ft for the side parallel to the dividers and 23.00 ft for the other side. e. Dimensions are 23.00 ft for the side parallel to the dividers and 7.00 ft for the other side. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 124. A kennel of 540 square feet is to be constructed as shown. The cost is $6 per running foot for the sides and

$1 per running foot for the ends and dividers. What are the dimensions of the kennel that will minimize the cost? Copyright Cengage Learning. Powered by Cognero.

Page 1036

a. The dimensions of the kennel that will minimize the cost are 15 feet for ends and dividers and 36 feet

for sides. b. The dimensions of the kennel that will minimize the cost are 19 feet for ends and dividers and 38 feet for sides. c. The dimensions of the kennel that will minimize the cost are 38 feet for ends and dividers and 19 feet for sides. d. The dimensions of the kennel that will minimize the cost are 19 feet for ends and dividers and 36 feet for sides. e. The dimensions of the kennel that will minimize the cost are 36 feet for ends and dividers and 15 feet for sides. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 125. The base of a rectangular box is to be twice as long as it is wide. The volume of the box is 936 cubic

inches. The material for the top costs $0.09 per square inch and the material for the sides and bottom costs $0.04 per square inch. Find the dimensions that will make the cost a minimum. a. Dimensions are 13‖ by 12‖ by 10‖ (high). b. Dimensions are 17‖ by 34‖ by 10‖ (high). c. Dimensions are 6‖ by 12‖ by 13‖ (high). d. Dimensions are 13‖ by 26‖ by 6‖ (high). e. Dimensions are 10‖ by 20‖ by 17‖ (high). ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 126. Suppose that a company needs 600 items during a year and that preparation for each production run costs

$90. Suppose further that it costs $2 to produce each item and $0.85 to store an item for one year. Use the inventory cost model to find the number of items in each production run that will minimize the total costs of production and storage. Copyright Cengage Learning. Powered by Cognero.

Page 1037

a. 343 items b. 356 items c. 385 items d. 374 items e. 363 items ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 127. A company needs 800 items per year. Production costs are $80 to prepare for a production run and $5 for

each item produced. Inventory costs are $0.45 per item per year. Find the number of items that should be produced in each run so that the total costs of production and storage are minimized. a. 533 items b. 583 items c. 572 items d. 561 items e. 550 items ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 128. A rectangular box with a square base is to be formed from a square piece of metal with 30-inch sides. If a

square piece with side x is cut from each corner of the metal and the sides are folded up to form an open box, the volume of the box is

. What value of x will maximize the volume of the box?

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

Page 1038

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 129. The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for $19 a

bushel if she sells them now, with each tree yielding an average of 9 bushels. The yield increases by half a bushel per week for the next 10 weeks, but the price per bushel decreases by $0.70 per bushel each week. When should the oranges be picked for maximum return? a. 3 weeks from now b. 7 weeks from now c. 10 weeks from now d. 4 weeks from now e. 5 weeks from now ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 130. A box with an open top and a square base is to be constructed to contain 8,788 cubic inches. Find the

dimensions that will require the minimum amount of material to construct the box. a. The dimensions of the box using minimum material are 26 in. by 26 in. by 13 in. b. The dimensions of the box using minimum material are 31 in. by 31 in. by 12 in. c. The dimensions of the box using minimum material are 13 in. by 13 in. by 26 in. d. The dimensions of the box using minimum material are 12 in. by 12 in. by 31 in. e. The dimensions of the box using minimum material are 31 in. by 31 in. by 13 in. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 131. A printer has a contract to print 120,000 posters for a political candidate. He can run the posters by using

any number of plates from 1 to 30 on his press. If he uses x metal plates, they will produce x copies of the poster with each impression of the press. The metal plates cost $7.00 to prepare, and it costs $15.00 per hour to run the press. If the press can make 1000 impressions per hour, how many metal plates should the printer make to Copyright Cengage Learning. Powered by Cognero.

Page 1039

minimize costs? Round your answer to the nearest count of metal plates. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 132. A vacationer on an island 10 miles offshore from a point that is 47 miles from a town to which the

vacationer must travel occasionally. (See the figure.) The vacationer has a boat capable of traveling 35 mph and can go by auto along the coast at 65 mph. At what distance x from the point on shore closest to the vacationer on the island should the boat be left to minimize the time it takes to get to town? Round your answer to one decimal place.

Where

a. 7.3 miles b. 6.4 miles c. 7.0 miles d. 4.7 miles e. 5.2 miles ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:43 AM 11/16/2020 11:43 AM

133. The millions of worldwide cellular subscribers can be modeled by

where t is the number of years past 1993. In what year does the model predict the number of worldwide cellular subscribers will reach a maximum? a. year 2015 b. year 2012 c. year 2016 d. year 2013 e. year 2014 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 134. A function and its graph are given. Use the graph to find the vertical asymptotes, if they exist. Confirm

your results analytically.

Page 1041

a. b. c. d. e. no vertical asymptotes ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 135. A function and its graph are given. Use the graph to find

, if it exists. Confirm your results

analytically.

a. 0 b. 6 c. 5 d. 1 e. does not exist Copyright Cengage Learning. Powered by Cognero.

Page 1042

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 136. A function and its graph are given. Use the graph to find

, if it exists. Confirm your results

analytically.

a. b. c. d. e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM Copyright Cengage Learning. Powered by Cognero.

Page 1043

DATE MODIFIED:

11/16/2020 11:43 AM

137. A function and its graph are given. Use the graph to find the horizontal asymptotes, if they exist. Confirm

your results analytically.

a. b. c. d. e. no horizontal asymptotes ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 138. A function and its graph are given. Use the graph to find the vertical asymptotes, if they exist, where

. Confirm your results analytically.

Page 1044

a. b. c. d. e. no vertical asymptotes ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 139. A function and its graph are given. Use the graph to find

, if it exists, where

. Confirm your

results analytically.

Page 1045

a. b. c. d. e. does not exist ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 140. A function and its graph are given. Use the graph to find

, if it exists, where

. Confirm

your results analytically.

Page 1046

a. 2 b. 2 c. 20 d. 0 e. does not exist ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 141. A function and its graph are given. Use the graph to find the horizontal asymptotes, if they exist, where

. Confirm your results analytically.

Page 1047

a. b. c. d. e. no horizontal asymptotes ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 142. Find any horizontal asymptotes for the given function.

a. b. c. d. e. no horizontal asymptotes ANSWER: POINTS:

d 1

Page 1048

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 143. Find any vertical asymptotes for the given function.

a. b. c. d. e. no vertical asymptotes ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 144. Find any horizontal asymptotes for the given function.

a. b. c. d. e. no horizontal asymptotes ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 145. Find all vertical asymptotes for the given function.

Page 1049

a. b. c. d. e. no vertical asymptotes ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 146. Find any horizontal asymptotes for the given function.

a. b. c. d. e. no horizontal asymptotes ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 147. Find any vertical asymptotes for the given function.

a. b. c. d. e. no vertical asymptotes ANSWER:

Page 1050

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 148. Find any horizontal asymptotes for the given function.

a. b. c. d. e. no horizontal asymptotes ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 149. Find any vertical asymptotes for the given function.

Page 1051

150. Sketch the graph of the function

a .

b .

c .

d .

Page 1052

e .

Page 1053

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 151. Find any vertical asymptotes for the given function.

a. b. c. d. e. no vertical asymptotes ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

Page 1054

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 152. Find any horizontal asymptotes for the given function.

a. b. c. d. e. no horizontal asymptotes ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 153. A function and its first and second derivatives are given. Use these to find any horizontal asymptotes.

Page 1055

154. A function and its first and second derivatives are given. Use these to find any vertical asymptotes.

a. b. c. d. e. no vertical asymptotes ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 155. A function and its first and second derivatives are given. Use these to find all critical values.

a. b. c. d. e. no critical values ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM Copyright Cengage Learning. Powered by Cognero.

Page 1056

156. A function and its first and second derivatives are given. Use these to find any relative maxima.

a. b. c. d. e. no relative maxima ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 157. A function and its first and second derivatives are given. Use these to find any relative minima.

Page 1057

158. A function and its first and second derivatives are given. Use these to find any points of inflection. Round

your answers to two decimal places.

a. b. c. d. e. no points of inflection ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

Page 1058

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 159. A function and its graph are given. Use the graph to estimate the locations of any horizontal asymptotes.

a. b. c. d. e. no horizontal asymptotes ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 160. A function and its graph are given. Use the graph to estimate the locations of any vertical asymptotes.

Page 1059

a. b. c. d. e. no vertical asymptotes ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 161. Analytically determine the location of any vertical asymptotes. Round your answer to two decimal places.

a. b. c. d. e. no vertical asymptotes ANSWER: POINTS:

e 1

Page 1060

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 162. Analytically determine the location(s) of any horizontal asymptote(s). Round your answer to two decimal

places.

a. b. c. d. e. no horizontal asymptotes ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 163. Analytically determine any relative maxima. Round your answer to two decimal places.

a. b. c. d. e. no relative maxima ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 164. Analytically determine any relative minima. Round your answer to two decimal places. Copyright Cengage Learning. Powered by Cognero.

Page 1061

a. b. c. d. e. no relative minima ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 165. Analytically determine the location(s) of any vertical asymptote(s). Round your answer to two decimal

places.

a. b. c. d. e. no vertical asymptotes ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 166. Analytically determine the location(s) of any horizontal asymptote(s).

a. b. c.

d. Copyright Cengage Learning. Powered by Cognero.

Page 1062

e. no horizontal asymptotes ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 167. The percent p of impurities that can be removed from the waste water of a manufacturing process at a cost

of C dollars is given by

. Find any C values within the domain of the problem at which the rate

of change of p with respect to C does not exist. a. b. c. d. e. All C values within domain are valid. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 168. The percent

of impurities that can be removed from the waste water of a manufacturing process at a cost

of dollars is given by

. Find

values for which p is increasing.

Page 1063

169. The percent p of impurities that can be removed from the waste water of a manufacturing process at a cost

of C dollars is given by

. Find any horizontal asymptotes.

a. b. c. d. e. no horizontal asymptotes ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 170. The percent p of impurities that can be removed from the waste water of a manufacturing process at a cost

of C dollars is given by

. Can 100% of the pollution be removed?

a. Yes b. No ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 171. Assume that the total daily cost, in dollars, of producing plastic rafts for swimming pools is given

where x is the number of rafts produced per day, then the average cost per raft

produced id given by

, for

. Find the level of production that minimizes average cost.

a. 260 rafts per day b. 130 rafts per day c. 133 rafts per day d. 8,450 rafts per day e. 65 rafts per day ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

Page 1064

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM 172. An entrepreneur starts new companies and sells them when their growth is maximized. Suppose that the

annual profit for a new company is given by

, where

is in thousands of dollars and x is

the number of years after the company is formed. If she wants to sell the company before profits begin to decline, after how many years should she sell it? a. Sell the company after 4 years. b. Sell the company after 5 years. c. Sell the company after 6 years. d. Sell the company after 7 years. e. Sell the company after 8 years. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:43 AM DATE MODIFIED: 11/16/2020 11:43 AM

1. Find the derivative of the following function.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM Copyright Cengage Learning. Powered by Cognero.

Page 1065

DATE MODIFIED:

11/16/2020 11:50 AM

2. Find the derivative of the following function.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 3. Find the derivative of the following function.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM Copyright Cengage Learning. Powered by Cognero.

Page 1066

4. Find the derivative of the following function.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 5. Find the derivative of the following function.

d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 1067

DATE CREATED: DATE MODIFIED:

11/16/2020 11:50 AM 11/16/2020 11:50 AM

6. Find

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 1068

DATE CREATED: DATE MODIFIED:

11/16/2020 11:50 AM 11/16/2020 11:50 AM

8. Find the derivative of the following function.

a. b.

c. d.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 9. Which of the following functions has the same derivative as the function below?

b. c. d. e. ANSWER:

Page 1069

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 10. Find the derivative of the following function.

Page 1070

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

12. Find

e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

13. Find

Page 1071

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

14. Find

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

15. Find

Page 1072

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

16. Find

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM Copyright Cengage Learning. Powered by Cognero.

Page 1073

17. Find

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 18. Find

a. b. c. d. e.

Page 1074

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 19. Find

a. b. c.

Page 1075

d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 21. Find

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 22. Find

Page 1076

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 23. Find

Page 1077

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 25. Find the y-value at the relative minima, and use a graphing utility to check your result.

a. b. c. d. e. does not exist ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM Copyright Cengage Learning. Powered by Cognero.

Page 1078

26. Find the relative minima, and use a graphing utility to check your results.

a. b. c. d. e. does not exist ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 27. Find the relative maxima, and use a graphing utility to check your results. Round your answer to two

decimal places.

a. b.

, ,

, d. , e. does not exist ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 28. Suppose that the total cost (in dollars) for a product is given by

, where x is the

number of units produced. Find the marginal cost function. a. b.

Page 1079

c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 29. Suppose that the total cost (in dollars) for a product is given by

, where x is the number of units produced. Find the marginal cost when 200 units are produced, and interpret your result. Round your answer to the nearest cent. a. $0.50. It will cost approximately $0.50 to make the 201st unit. b. $0.07. It will cost approximately $0.07 to make the 201st unit. c. $0.25. It will cost approximately $0.25 to make the 201st unit. d. $133.33. It will cost approximately $133.33 to make the 201st unit. e. $1.00. It will cost approximately $1.00 to make the 201st unit. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 30. Suppose that the total cost (in dollars) for a product is given by

, where x is the number of units produced. Total cost functions always increase because producing more items costs more. What then must be true of the marginal cost function

a. b. c. d. e. ANSWER:

Page 1080

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 31. Suppose that the supply of x units of a product at price p dollars per unit is given by

Find the rate of change of supply price with respect to the number of units supplied. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 32. Suppose that the supply of x units of a product at price p dollars per unit is given by

Approximate the price increase associated with the number of units supplied changing from 29 to 30. Round your answer to the nearest cent. a. $137.29 b. $85.04 c. $6.07 d. $17.42 e. $3.07 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM Copyright Cengage Learning. Powered by Cognero.

Page 1081

33. The demand function for a product is given by

, where p is the price per unit in dollars when x units are demanded. Find the second derivative to see whether the rate at which the price is changing at 30 units is increasing or decreasing. a. increasing b. decreasing ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 34. The pH of a solution is given by

, where is the concentration of hydrogen ions (in gram atoms per liter). What is the rate of change of pH with respect to if ? Round your answer to two decimal places. a. 0.01 b. –3.59 c. –434.29 d. 6.91 e. –1000.00 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 35. The loudness of sound (L, measured in decibels) perceived by the human ear depends on intensity levels (I)

according to

, where

change-of-base formula, we get

is the standard threshold of audibility. If

then using the

. At what rate is the loudness changing with respect to x when the

intensity is 100 times the standard threshold of audibility (that is, when x = 100)? a. b. c.

Page 1082

d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 36. Between the years 1960 and 2002, the percent of women in the work force can be modeled by

, where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). If this model is accurate beyond 2002, at what rate will the percent be changing in 2050? a. In 2050, the rate will be changing at 0.167% per year. b. In 2050, the rate will be changing at 0.211% per year. c. In 2050, the rate will be changing at 0.007% per year. d. In 2050, the rate will be changing at 0.304% per year. e. In 2050, the rate will be changing at 0.146% per year. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 37. Find the derivative of the following function.

a. b. c. d. e. ANSWER: POINTS:

e 1

Page 1083

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 38. Find the derivative of the following function.

Page 1084

c. d.

Page 1085

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 42. Find the derivative of the following function.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

Page 1086

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 43. Find the derivative of the following function.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

Page 1087

d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 45. Find the derivative of the following function.

Page 1088

a. b. c.

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

e 1 Multi-Mode (Multiple choice) True

Page 1089

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 48. Find the derivative of the following function.

a. b. c. d.

Page 1090

e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 50. Write the equation of the line tangent to the graph of

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

51. Write the equation of the line tangent to the graph of

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

Page 1091

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 52. Find any relative maxima and minima. Use a graphing utility to check your results.

relative minimum at b.

relative maximum at c.

relative minimum at d.

relative maximum at e.

relative maximum at ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 53. Find any relative maxima and minima. Use a graphing utility to check your results.

relative minimum at b.

relative maximum at c.

relative minimum at d.

relative maximum at Copyright Cengage Learning. Powered by Cognero.

Page 1092

e. relative minimum at

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

54. The future value that accrues when $300 is invested at 3%, compounded continuously, is

where t is the number of years. At what rate is the money in this account growing when t = 7? Round your answer to the nearest cent. a. $1.23 per year b. $370.10 per year c. $9.27 per year d. $3.22 per year e. $11.10 per year ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 55. The sales decay for a product is given by

, where S is the daily sales in dollars and t is the

number of days since the end of a promotional campaign. Find the rate of change of sales decay. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

Page 1093

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

56. Suppose that the revenue in dollars from the sale of x units of a product is given by

. Find the marginal revenue function. a.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 57. Suppose the concentration C(t), in mg/ml, of a drug in the bloodstream t minutes after an injection is given

Find the maximum concentration and when it occurs. a. Maximum concentration of 10.22 mg/ml occurs after 1.11 minutes. b. Maximum concentration of 10.01 mg/ml occurs after 0.90 minutes. c. Maximum concentration of 0.00 mg/ml occurs after 22.50minutes. d. Maximum concentration of 10.04 mg/ml occurs after 1.33 minutes. e. Maximum concentration of 9.59 mg/ml occurs after 1.56 minutes.

ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

Page 1094

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 58. For selected years from 1978 to 2000, the number of mutual funds N, excluding money market funds, can be

modeled by

where t is the number of years past 1975. Find and interpret the rate of change

of the number of mutual funds in 2004. Round your answer to one decimal places. a. The number of mutual funds have increased from the previous year by 503.8. b. The number of mutual funds have increased from the previous year by 794.6. c. The number of mutual funds have increased from the previous year by 709.1. d. The number of mutual funds have increased from the previous year by 564.6. e. The number of mutual funds have increased from the previous year by 1253.2. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 59. Medical research has shown that between heartbeats, the pressure in the aorta of a normal adult is a function

of time in seconds and can be modeled by the equation

. Use the derivative to find the rate at

which the pressure is changing after 2.3 seconds. Round your answer to two decimal places. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 60. Total personal income in the U.S. (in billions of dollars) for selected years from 1960 to 2002 is given in the

following table. Copyright Cengage Learning. Powered by Cognero.

Page 1095

Year Personal income

1960

1970

1980

1990

2000

2002

283.16

342.40

471.89

587.56

841.84

837.77

These data can be modeled by

, where x is the number of years past 1960. If this model is

accurate, find the rate of change of the total U.S. personal income in 2001. Round your answer to the nearest ten million dollar. a. $25.45 billion per year b. $22.24 billion per year c. $6.96 billion per year d. $215.46 billion per year e. $19.43 billion per year ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 61. Total personal income in the U.S. (in billions of dollars) for selected years from 1960 to 2002 is given in the

following table. Year Personal income

1960

1970

1980

1990

2000

2002

273.12

333.58

446.04

518.60

607.83

699.23

These data can be modeled by

, where x is the number of years past 1960. Use the data to find

the average rate of change from 2000 to 2002, which can be used to approximate the rate of change in 2002. Round your answer to the nearest ten million dollar. a. $35.00 billion per year b. $14.34 billion per year c. $13.05 billion per year d. $13.32 billion per year e. $12.54 billion per year ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM Copyright Cengage Learning. Powered by Cognero.

Page 1096

DATE MODIFIED:

62. Find

11/16/2020 11:50 AM

at the given point without first solving for y. at

a. 0 b. –360 c. 24 d. –24 e. 360 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 63. Find dy/dx at the given point without first solving for y.

at a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 64. Find dy/dx at the given point without first solving for y. Round your answer to two decimal places.

Page 1097

at a. –2.00 b. –1.00 c. 3.50 d. 0.50 e. 1.17 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

65. Find

for the following equation:

. a.

Page 1098

b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 67. Find dp/dq for the following equation:

. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

68. Find

for the following equation:

Page 1099

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 69. Find dy/dx for the following equation:

. a. b.

Page 1100

70. Find dy/dx for the following equation:

. a.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

71. Find

for the following equation:

Page 1101

. Round your answer to

two decimal places.

a. –13.72 b. 13.72 c. –1.72 d. –4.00 e. undefined ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 73. For the given equation, find the slope of the tangent to the curve at the point

. Round your answer

to two decimal places.

a. –0.77 b. –1.30 c. –4.61 d. 0.00 e. undefined ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 74. For the given equation, find the slope of the tangent to the curve at the point Copyright Cengage Learning. Powered by Cognero.

. Round your answer to Page 1102

two decimal places.

a. 0.00 b. 83.48 c. –70.35 d. –72.3 e. 90.02 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 75. Write the equation of the line tangent to the curve

at the point

, find y'.

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

Page 1103

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

77. If

, find

at the point

b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

Page 1104

79. If

, find

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

80. If

, find

Page 1105

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

81. If

, find

at the point

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

Page 1106

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 83. At what x-value does the curve defined by

have a horizontal tangent?

have a vertical tangent?

have a horizontal tangent?

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

e 1 Multi-Mode (Multiple choice)

Page 1107

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 86. At what -value does the curve defined by

have a vertical tangent?

implicitly for

Page 1108

88. Find

for

and simplify.

decimal places.

a. 0.866 b. 2.598 c. 0.144 d. 0.188 e. 0.433 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 90. Suppose that a company’s sales volume y (in dollars) is related to its advertising expenditures x (in dollars)

according to Find the rate of change of sales volume, with respect to advertising expenditures when x = $45. Round your answer to two decimal places. a. 2.35 b. 1.05 Copyright Cengage Learning. Powered by Cognero.

Page 1109

c. 0.72 d. 0.32 e. 0.46 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 91. Suppose that the number of mosquitoes N (in thousands) in a certain swampy area near a community is

related to the number of pounds of insecticide x sprayed on the nesting areas according to Find the rate of change of N, with respect to x when 28 pounds of insecticide are used. Round your answer to two decimal places. a. 1.07 b. 0.24 c. 0.83 d. –1.41 e. –0.59 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 92. Suppose that production of a certain agricultural crop is related to the number of hours of labor x, and the

number of acres of the crop y, according to number of hours, with respect to the number of acres.

Find the rate of change of the

a. b. c. d. e. ANSWER:

Page 1110

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 93. If the demand function for q units of a commodity at p$ per unit is given by

of change of quantity with respect to price when

, find the rate

. Round your answer to three decimal places.

a. 0.074 b. –0.074 c. 0.037 d. –0.035 e. 0.017 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

94. Suppose the proportion P of people affected by a certain disease is described by

the time in months. Find

, where t is

, the rate at which P grows.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 1111

DATE CREATED: DATE MODIFIED:

11/16/2020 11:50 AM 11/16/2020 11:50 AM

95. Assume that x and y are differentiable functions of t. Find

for

using the given values.

a. 261 b. 207 c. 336 d. 333 e. 165 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

96. Assume that x and y are differentiable functions of t. Find

using the given values. Round your answer to

two decimal places. for

a. 2.00 b. –4.00 c. 4.00 d. –2.00 e. –2.00 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

97. Assume that x and y are differentiable functions of t. Find

given that

, and

. Round

your answer to two decimal places. Copyright Cengage Learning. Powered by Cognero.

Page 1112

a. –5.00 b. –1.00 c. 0.80 d. –10.00 e. 5.00 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 98. Assume that x and y are differentiable functions of t. If

and

find dx/dt when

. a. b. c. d. e.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

99. Assume that x and y are differentiable functions of t. In each case, find

and

given that

a. –69 b. 93 Copyright Cengage Learning. Powered by Cognero.

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c. –138 d. 81 e. 1242 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

100. Assume that x, y, and z are differentiable functions of t. If

and

find

when

. Round your answer to two decimal places.

a. 6.25 b. –1.25 c. 4.75 d. 3.13 e. –0.88 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

101. Assume that s, r, and h are differentiable functions of t. If

, and

, find

when

. Round your answer to two decimal places.

a. –0.55 b. 1.64 c. –0.86 d. 2.25 e. 0.55 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:50 AM 11/16/2020 11:50 AM

102. Assume that x and y are differentiable functions of t. A point is moving along the graph of the equation

At what rate is y changing when

and is changing at a rate of 2 units/sec?

a. 72 units/sec b. 70 units/sec c. 65 units/sec d. 58 units/sec e. 22 units/sec ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 103. The radius of a circle is increasing at a rate of 9 ft/min. At what rate is its area changing when the radius is

10 ft? a.

sq ft/min b.

sq ft/min c.

sq ft/min d.

sq ft/min e.

sq ft/min ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 2

104. The area of a circle is changing at a rate of 6 in /sec At what rate is its radius changing when the radius is

11 in?

Page 1115

in/sec b.

in/sec c.

in/sec d.

in/sec e.

in/sec ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 105. The lengths of the edges of a cube are increasing at a rate of 6 ft/min. At what rate is the surface area

changing when the edges are 15 ft long? a. 432 ft2/min b. 1,080 ft2/min c. 2,700 ft2/min d. 216 ft2/min e. 3,240 ft2/min ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 106. Suppose that the monthly revenue and cost (in dollars) for x units of a product

are

. At what rate per month is the profit changing if the number of units

produced and sold is 100 and is increasing at a rate of 10 units per month? a. $5,960 per month b. $5,260 per month c. $5,280 per month d. $5,100 per month Copyright Cengage Learning. Powered by Cognero.

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e. $5,800 per month ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

107. Suppose that the price p (in dollars) of a product is given by the demand function

where x

represents the quantity demanded. If the daily demand is increase at a rate of 5 units per day, at what rate is the price changing when the demand is 77 units? Round your answer to two decimal places. a. The price is decreasing at approximately 1.87 dollars per day. b. The price is decreasing at approximately 0.26 dollars per day. c. The price is decreasing at approximately 0.35 dollars per day. d. The price is decreasing at approximately 0.07 dollars per day. e. The price is decreasing at approximately 0.06 dollars per day. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 108. The supply function for a product is given by

, where x is the number of units supplied and p is the price in dollars. If the price is increasing at a rate of $1 per month, at what rate is the supply changing when Round your answer to three decimal places. a. 0.014 units per month b. 0.176 units per month c. 0.044 units per month d. 0.049 units per month e. 0.038 units per month ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 109. Boyle’s law for enclosed gases states that at a constant temperature, the pressure is related to the volume by Copyright Cengage Learning. Powered by Cognero.

Page 1117

the equation

, where k is a constant. If the volume is increasing at a rate of 7 cubic inches per hour, at

what rate is the pressure changing when the volume is 10 cubic inches and answer to three decimal places.

inch-pounds? Round your

a. 0.778 lb/in2/hr b. –0.030 lb/in2/hr c. –7.778 lb/in2/hr d. 0.210 lb/in2/hr e. –0.210 lb/in2/hr ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 110. Suppose that a tumor in a person’s body has a spherical shape and that treatment is causing the radius of the

tumor to decrease at a rate of 7 millimeters per month. At what rate is the surface area of the tumor decreasing when the radius is 3 mm? a. Surface area is decreasing at the rate of 336π mm2/month. b. Surface area is decreasing at the rate of 56π mm2/month. c. Surface area is decreasing at the rate of 72π mm2/month. d. Surface area is decreasing at the rate of 36π mm2/month. e. Surface area is decreasing at the rate of 168π mm2/month. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM 111. For many species of fish, the allometric relationship between the weight W and the length L is

approximately where k is a constant. For corresponding percent rate of change of the length.

find the percent rate of change of the weight as a

Page 1118

is given by

, where k is a constant. For

find the percent rate of change of the resistance of a blood

vessel in terms of the percent rate of change in the radius of the blood vessel. a.

Page 1119

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:50 AM DATE MODIFIED: 11/16/2020 11:50 AM

113. For human beings, the surface area S of the body is related to the body’s weight W according to

where k is a constant. For , find the percent rate of change of the body’s surface area in terms of the percent rate of change of the body’s weight. a.

Page 1120

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 114. Assume that water is being purified by causing it to flow through a conical filter that has a height of

13 inches and a radius of 6 inches. If the depth of the water is decreasing at a rate of 2 inches per minute when the depth is 3 inches, at what rate is the volume of water flowing out of the filter at this instant? Round your

answer to two decimal places. a. The water is flowing out at the approximate rate of 12.05 in3 per minute. b. The water is flowing out at the approximate rate of 36.14 in3 per minute. c. The water is flowing out at the approximate rate of 10.93 in3 per minute. d. The water is flowing out at the approximate rate of 9.82 in3 per minute. e. The water is flowing out at the approximate rate of 12.22 in3 per minute. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 3

115. Suppose that air is being pumped into a spherical balloon at a rate of 4 in /min.At what rate is the radius of

the balloon increasing when the radius is 4 in? a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 116. Suppose that a boat is being pulled toward a dock by a winch that is 6 ft above the level of the boat deck. If

the winch is pulling the cable at a rate of 25 ft/min, at what rate is the boat approaching the dock when it is 8 ft from the dock? Use the figure below. Round your answer to two decimal places.

a. 31.25 ft/min b. 25.00 ft/min c. 41.67 ft/min d. 20.00 ft/min e. 15.00 ft/min ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 117. Suppose a 101-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 1

ft/sec, at what rate is the top of the ladder sliding down the wall when the bottom is 20 ft from the wall? a. b. c. d. e.

The top of the ladder is sliding down the wall at the rate of ft/sec. The top of the ladder is sliding down the wall at the rate of

ft/sec.

The top of the ladder is sliding down the wall at the rate of

ft/sec.

The top of the ladder is sliding down the wall at the rate of

ft/sec.

The top of the ladder is sliding down the wall at the rate of

ft/sec.

ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 118. Two boats leave the same port at the same time, with boat A traveling north at 40 knots (nautical miles per

hour) and boat B traveling east at 35 knots. How fast is the distance between them changing when boat A is 2 nautical miles from port? Round your answer to two decimal places. a. The distance between the boats is changing at the rate of 52.68 knots. b. The distance between the boats is changing at the rate of 43.27 knots. c. The distance between the boats is changing at the rate of 53.15 knots. d. The distance between the boats is changing at the rate of 38.10 knots. e. The distance between the boats is changing at the rate of 70.63 knots. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 3

119. Water is flowing into a barrel in the shape of a right circular cylinder at the rate of 600 in per minute. If

the radius of the barrel is 4 in, at what rate is the depth of the water changing when the water is 10 in deep? Round your answer to two decimal places. a. 37.50 in per minute b. 190.99 in per minute c. 60.79 in per minute d. 47.75 in per minute e. 11.94 in per minute ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 120. p is in dollars and q is the number of units. Find the elasticity of the demand function

at the

price p = $25. Round your answer to two decimal places. a. 0.13 b. 0.45 c. –3.00 Copyright Cengage Learning. Powered by Cognero.

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d. 0.78 e. 0.61 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 121. p is in dollars and q is the number of units. Find the elasticity of the demand function

, and use it to determine how a price increase will affect total revenue. a. Since the demand is elastic, an increase in price will decrease the total revenue. b. Since the demand is elastic, an increase in price will increase the total revenue. c. Since the demand is inelastic, an increase in price will decrease the total revenue. d. Since the demand is inelastic, an increase in price will increase the total revenue. e. No change in revenue. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 122. p is in dollars and q is the number of units. Find the elasticity of the demand function

. Round your answer to two decimal places. a. 3.11 b. 7.61 c. 3.75 d. 5.76 e. 4.42 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 123. p is in dollars and q is the number of units. Find the elasticity of the demand function

. Round your answer to two decimal places. Copyright Cengage Learning. Powered by Cognero.

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a. 7.70 b. 0.13 c. –0.13 d. 1.00 e. –1.00 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 124. p is in dollars and q is the number of units. Find the elasticity of the demand function

and

use it to determine how a price increase will affect total revenue. a. Since the demand is elastic, an increase in price will decrease the total revenue. b. Since the demand is elastic, an increase in price will increase the total revenue. c. Since the demand is inelastic, an increase in price will decrease the total revenue. d. Since the demand is inelastic, an increase in price will increase the total revenue. e. No change in revenue. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 125. Suppose that the demand for a product is given by

. Find the elasticity when and also determine how would revenue be affected by a price increase?

and

. A price increase will decrease the total revenue. b.

. A price increase will decrease the total revenue. c.

. A price increase will increase the total revenue. d.

. A price increase will increase the total revenue. e.

. A price increase will decrease the total revenue. ANSWER:

Page 1125

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 126. p is in dollars and q is the number of units. Suppose that the demand for a product is given by

. Find the elasticity when

and

. Round your answer to four decimal

places. a. 1.0000 b. 0.0046 c. 0.0056 d. 0.0157 e. 0.4602 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 127. p is in dollars and q is the number of units. Suppose that the demand for a product is given by

. Find the elasticity when

. Round your answer to two decimal places.

a. –0.04 b. 1.96 c. 4.51 d. 5.29 e. 6.09 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM

128. Suppose the demand function for a product is given by

where p is in hundreds of

dollars and q is the number of tons. What is the elasticity of demand when the quantity demanded is 7 tons and the price is $322? Round your Copyright Cengage Learning. Powered by Cognero.

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answer to one decimal place. a. η ≈ 5.5 b. η ≈ 51.4 c. η ≈ 7.3 d. η ≈ 6.4 e. η ≈ 1.8 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM

129. Suppose the weekly demand function for a product is

where p is the price in thousands of

dollars and q is the number of units demanded. What is the elasticity of demand when the price is $1,000 and the quantity demanded is 1429? Round your answer to two decimal places. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 130. The demand function for specialty steel products are given, where p is in dollars and q is the number of

units demanded. Find the point at which the demand is of unitary elasticity. Round your answer to two decimal places.

a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 131. The demand functions for specialty steel products are given, where p is in dollars and q is the number of

units demanded. Find the interval in which the demand is inelastic. Round your answer to two decimal places.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 132. The demand functions for specialty steel products are given, where p is in dollars and q is the number of

units demanded. Find the interval in which the demand is elastic. Round your answer to two decimal places.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 133. p is the price per unit in dollars and q is the number of units. If the demand and supply functions for a

product are

, and

, respectively, how many items will maximize the tax revenue? Page 1128

a. 181 b. 56 c. 114 d. 94 e. 10 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 134. p is the price per unit in dollars and q is the number of units. If the demand and supply functions for a

product are and , respectively, find the tax per unit t that will maximize the tax revenue T. Round your answer to the nearest cent. a. $706.10 per item b. $693.90 per item c. $707.50 per item d. $687.19 per item e. $700.00 per item ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 135. Suppose the weekly demand function is

and the supply function before taxation is , determine what tax per item will maximize the total tax revenue?

a. $336/item b. $200/item c. $110/item d. $140/item e. $139/item ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 11:51 AM

136. p is the price per unit in dollars and q is the number of units. The monthly demand function is

and the supply function before taxation is the total revenue and use this to find the maximum tax revenue.

. Find what tax per item will maximize

a. $3,162 b. $934 c. $2,802 d. $1,650 e. $2,298 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 137. Suppose the weekly demand for a product is given by

is given by

and the weekly supply before taxation

. Find the tax per item that produces maximum tax revenue. Round your answer

to the nearest cent. a. $276.00 tax per item b. $255.20 tax per item c. $244.50 tax per item d. $265.70 tax per item e. $233.60 tax per item ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 138. p is the price per unit in dollars and q is the number of units. If the daily demand for a product is given by

the function and the daily supply before taxation is that maximizes tax revenue. Round your answer to the nearest cent.

, find the tax per item

a. $689.29 per item b. $576.64 per item c. $801.95 per item Copyright Cengage Learning. Powered by Cognero.

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d. $636.87 per item e. $493.47 per item ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM 139. p is the price per unit in dollars and q is the number of units. The monthly demand function is

and the supply function before taxation is maximize the tax revenue T.

. Find the tax per unit t that will

a. $782 per item b. $1012 per item c. $1947 per item d. $506 per item e. $2212 per item ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:51 AM DATE MODIFIED: 11/16/2020 11:51 AM

1. Find a function g(x) such that

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED: 2. Evaluate the integral

11/16/2020 11:57 AM 11/16/2020 11:57 AM

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 3. Evaluate the integral

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

4. Evaluate the integral

Page 1132

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM Copyright Cengage Learning. Powered by Cognero.

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6. Evaluate the integral

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

7. Evaluate the integral

Page 1134

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

9. Evaluate the integral

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

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10. Evaluate the integral

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

11. Evaluate the integral

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM Copyright Cengage Learning. Powered by Cognero.

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12. Evaluate the integral

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

13. Evaluate the integral

ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

Page 1137

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 14. Use algebra to rewrite the integrand; then integrate and simplify.

, find

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:57 AM 11/16/2020 11:57 AM

16. A family of functions is given and the graph of some members of the family are shown. Write the indefinite

integral that gives the family.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM Copyright Cengage Learning. Powered by Cognero.

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17. If the marginal revenue (in dollars per unit) for a month is given by

, find the total

revenue from the sale of 100 units to the nearest cent. a. $3,178.98 b. $3,177.80 c. $3,180.00 d. $31.60 e. $30.40 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 18. Suppose that when a sense organ receives a stimulus at time t, the total number of action potentials is P(t). If

the rate at which action potentials are produced is find the formula for P(t).

, and if there are 0 action potentials when

second) is changing is . If the particle is 4,900 feet high when the height of the particle at any time t.

seconds, write the formula for

a. b.

Page 1140

c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 20. The DeWitt Company has found that the rate of change of its average cost of producing a product

, where x is the number of units and cost is in dollars. The average cost of producing 10 units

is $20.00. Find the average cost of producing 160 units of the product. Round to the nearest dollar. a. $23 b. $25 c. $28 d. $30 e. $35 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 21. Suppose an oil tanker hits a reef and begins to leak. The efforts of the workers repairing the leak cause the

rate at which the oil is leaking to decrease. The oil was leaking at a rate of 46 barrels per hour at the end of the first hour after the accident, and the rate is decreasing at a rate of one barrel per hour. What formula describes the rate of loss in terms of the time t that has lapsed since the leak began? a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

Page 1141

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 22. Suppose an oil tanker hits a reef and begins to leak. The efforts of the workers repairing the leak cause the

rate at which the oil is leaking to decrease. The oil was leaking at a rate of 32 barrels per hour at the end of the first hour after the accident, and the rate is decreasing at a rate of one barrel per hour. How many barrels of oil will leak in the first 6 hours? a. 174 barrels b. 90 barrels c. 180 barrels d. 189 barrels e. 183 barrels ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 23. Find du if

b. c. d.

e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 24. Evaluate the integral

Page 1142

a. Copyright Cengage Learning. Powered by Cognero.

Page 1143

b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 27. Evaluate the integral

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 28. Evaluate the integral

Page 1144

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 29. Evaluate the integral

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM Copyright Cengage Learning. Powered by Cognero.

Page 1145

30. Evaluate the integral

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

31. Evaluate the integral

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 1146

DATE CREATED: DATE MODIFIED:

11/16/2020 11:57 AM 11/16/2020 11:57 AM

32. Evaluate the integral

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 33. If

, find

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

Page 1147

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

34. Evaluate the integral

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

35. Evaluate the integral

Page 1148

Page 1149

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 1150

DATE CREATED: DATE MODIFIED:

11/16/2020 11:57 AM 11/16/2020 11:57 AM

37. Write the indefinite integral that gives the family associated with

e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 38. Which of the following integrals cannot be integrated by using the methods studied so far?

(a)

(b)

(c)

(d) (e) Copyright Cengage Learning. Powered by Cognero.

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a. a, b b. a, b, e c. b, c, e d. c, d e. d, e ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

39. The marginal revenue for a new calculator is given by

, where x represents hundreds

of calculators and revenue is in dollars. Find the total revenue function for these calculators. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 40. The total physical output of a number of machines or workers is called physical productivity and is a

function of the number of machines or workers. If

is the productivity,

productivity. If the marginal physical productivity for bricklayers is

is the marginal physical , where P is the number of

bricks laid per day and x is the number of bricklayers, find the physical productivity of 4 bricklayers. (Note: when .) a. 46,400 bricks laid per day Copyright Cengage Learning. Powered by Cognero.

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b. 334,520 bricks laid per day c. 331,280 bricks laid per day d. 34,800 bricks laid per day e. 248,460 bricks laid per day ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

41. The rate of production of a new line of products is given by

, where x is the number

of items produced and t is the number of weeks the product has been in production. Assuming that , find the total number of items produced as a function of time t.

when

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

42. The rate of production of a new line of products is given by

, where x is the number

of items and t is the number of weeks the product has been in production. Assuming that when out the number of items produced in the fifth week. Round your answer to the nearest whole number.

, find

a. 196 items are produced during the fifth week b. 505 items are produced during the fifth week c. 4,167 items are produced during the fifth week Copyright Cengage Learning. Powered by Cognero.

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d. 56,982 items are produced during the fifth week e. 516 items are produced during the fifth week ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 43. Because a new employee must learn an assigned task, the employee's production will increase with time.

Suppose that for the average new employee, the rate of performance is given by

, where N is

the number of units completed t hours after beginning a new task. If 2 units are completed after 7 hours, how many units are completed after 124 hours? a. 4 b. 5 c. 6 d. 8 e. 9 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 44. An inferior product with a large advertising budget does well when it is introduced, but sales decline as

people discontinue use of the product. Suppose that the rate of weekly sales revenue is given by , where S is the sales in thousands of dollars and t is the time in weeks. Find the function that describes the weekly sales revenue if

thousand dollars when

a. b. c. d.

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e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 45. Because of job outsourcing, a western Pennsylvania town predicts that its public school population will

decrease at the rate , where x is the number of years and N is the total school population. If N = 8,800 when x = 0, what population size is expected in 7 years? Round your answer to nearest integer when applicable. a. 7,410 students b. 8,405 students c. 9,005 students d. 8,010 students e. 10,000 students ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 46. A new fast-food firm predicts that the number of franchises for its products will grow at the rate

, where t is the number of years. If there is one franchise

at present

, how many

franchises are predicted for 26 years from now? a. 2,146 b. 2,176 c. 2,161 d. 2,314 e. 2,110 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:57 AM 11/16/2020 11:57 AM

47. Suppose the rate of change of the interest paid on the public debt of the United States as a percent of federal

expenditures can be modeled by

, where t

is the number of years past 1930. Use integration and the fact that in 1950, the interest paid as a percent of Federal Expenditures was 9.4, to find the function D(t) that models the interest paid on the public debt of the United States as a percent of federal expenditures. If it's necessary, round your calculations to three decimal places. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 48. Evaluate the integral

Page 1156

49. Evaluate the integral

. If it's necessary, round your calculations to one decimal place.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

50. Evaluate the integral

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM Copyright Cengage Learning. Powered by Cognero.

Page 1157

DATE MODIFIED:

11/16/2020 11:57 AM

51. Evaluate the integral

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

52. Evaluate the integral

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

53. Evaluate the integral

Page 1158

a. b. c. d.

e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

54. Evaluate the integral

Page 1159

55. Evaluate the integral

b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

56. Evaluate the integral

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

Page 1160

57. Evaluate the integral

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

58. Evaluate the integral

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

59. Evaluate the integral Copyright Cengage Learning. Powered by Cognero.

. Page 1161

a. b. c. d. e.

and

is a member of the family of

and

is a member of the family of

and

is a member of the family of

and

is a member of the family of

and

is a member of the family of

that Page 1162

satisfies

Page 1163

a. b.

Page 1164

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 63. A family of functions is given below. Find the function f (x) such that the family is given by

Round your answer to one decimal place, if necessary.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 64. Suppose that the marginal revenue (in dollars) from the sale of x units of a product is

What is the revenue from the sale of 100 units of the product? Round your answer to the nearest cent. a. $543.66 b. $343.66 c. $464.02 d. $868.00 e. $–59.98 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 11:57 AM 11/16/2020 11:57 AM

65. The rate of vocabulary memorization of the average student in a certain foreign language course is given

, where t is the number of continuous hours of study,

, and v is the number of words.

About how many words would the average student memorize in 1 hour? Round your answer to the nearest whole number of words. a. 22 words b. 24 words c. 26 words d. 27 words e. 29 words ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 66. If $P is invested for n years at 66% compounded continuously, the rate at which the future value is growing

. What function describes the future value at the end of n years? Round your answer to two

decimal places, if necessary. a. b. c.

d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 67. If $P is invested for n years at 5% compounded continuously, the rate at which the future value is growing is Copyright Cengage Learning. Powered by Cognero.

Page 1166

. In how many years will the future value double? Round your answer to one decimal place. a. 22.0 years b. 15.9 years c. 13.9 years d. 24.0 years e. 18.9 years ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 68. Suppose that the rate at which blood pressure decreases in the aorta of a normal adult after a heartbeat

,where t is the time in seconds. Use the function that describes the blood pressure in

the aorta if decimal places.

when

to find the blood pressure 0.1 second after a heartbeat. Round your answer to two

a. 83.52 b. 89.56 c. 72.66 d. 75.22 e. 80.67 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 69. A store finds that its sales decline after the end of an advertising campaign, with its daily sales for the period

declining at the rate , where t is the number of days since the end of the campaign. Suppose that units when . About how many sales should the store expect 50 days after the end of the advertising campaign? Round your answer to the nearest whole number. a. 6,634 sales b. 6,639 sales c. 6,644 sales d. 6,637 sales e. 6,646 sales Copyright Cengage Learning. Powered by Cognero.

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modeled by

where t is the number of years past 1920. Use integration and the data point for 2007,

to find the function that models the life span. If it's necessary, round your calculations to three decimal places, Year 1920 1930 1940 1950 1960 1970 1975 1980 1985

Life Span (years) 60.1 66.7 71.4 75.0 78.0 80.5 81.6 82.7 83.7

Year 1990 1992 1994 1996 1998 2000 2001 2003 2005 2007

Life Span (years) 84.6 85.0 85.3 85.7 86.0 86.3 86.5 86.8 87.1 87.4

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, where t is the number of years past 1975. If in 1980 22.6% of households had cable TV, predict the percent of households that will have cable TV in 2020. Round your answer to one decimal place. a. 83.6% b. 79.6% c. 71.1% d. 73.6% e. 86.1% ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 72. Suppose the rate of change of total personal income I in the United States (in billions of dollars) can be

modeled by

, where t is the number of years past 1960. Find the total personal income in

2010 by using the arbitrary constant that is evaluated by using the data point from 1960. Also find the rate of change of total personal income in 2010. Round your answers to two decimal places. Year Personal income

1960 377.7

1970 866

1980 1751.5

1990 3356.8

1999 5892.3

2000 6267.2

2002 7087.4

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 73. Suppose the rate of change of total personal income I in the United States (in billions of dollars) can be

modeled by

, where t is the number of years past 1960. The value of

are

approximately $16,763.05 and $1,027.17 respectively which are been evaluated by using the arbitrary constant Copyright Cengage Learning. Powered by Cognero.

Page 1169

that is been evaluated by using the data point from 1960. Interpret decimal places, if necessary. Year Personal income

1960 293.1

1970 715.5

1980 1,488.9

1990 2,905.3

1999 5,163.6

. Round your answer to two 2000 5,499.0

2002 6,234.0

means that the model predicts that in 2018, the total personal income is predicted to be $16,763.05 billion dollars and will be decreasing at a rate of $1,027.17 billion per year.

means that the model predicts that in 2018, the total personal income is predicted to be $1,027.17 billion dollars and will be increasing at a rate of $16,763.05 billion per year.

means that the model predicts that in 2018, the total personal income is predicted to be $16,763.05 billion dollars and will be increasing at a rate of $1,027.17 billion per year.

means that the model predicts that in 2018, the total personal income is predicted to be $16,763.05 billion dollars and will be increasing at a rate of $1,027.17 billion per month.

means that the model predicts that in 2018, the total personal income is predicted to be $1,027.17 billion dollars and will be decreasing at a rate of $16,763.055 billion per month.

, and the production of 14 units results in a total cost of

$934, find the total cost function C. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 75. If the marginal cost, in dollars, for producing a product is

, with a fixed cost of $500, what will

be the cost of producing 30 units? a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 76. A certain firm's marginal cost for a product is

, its marginal revenue is total cost of production of 12 units is $828. Find the optimal level of production.

, and its

a. 17 units b. 13 units c. 14 units d. 16 units e. 15 units ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 77. A certain firm's marginal cost for a product is

, its marginal revenue is total cost of production of 11 units is $982. Find the profit function P.

, and its

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 78. A certain firm’s marginal cost, in dollars, for a product is

, its marginal revenue, in dollars,

is , and its total cost of production of 7 items is $900. Find the profit or loss at the optimal level of production. Round your answer to the nearest dollar. a. $164 loss b. $164 profit c. $809 profit d. $809 loss e. $592 loss ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 79. Suppose that the marginal revenue for a product is

, with a fixed cost of

and the marginal cost is

. Find the profit or loss from the production and sale of 3 units.

a. loss of $522 b. loss of $856 c. profit of $856 d. profit of $752 e. loss of $752 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

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80. Suppose that the marginal revenue for a product is

and the marginal cost is a fixed cost of $1,032. How many units will result in a maximum profit?

with

a. 13 units b. 12 units c. 11 units d. 15 units e. 14 units ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 81. Suppose that the marginal cost (in dollars) for a product is

the marginal revenue (in dollars) for the product is 24 units.

and its fixed cost is $350.00. If

, find the profit or loss from production and sale of

a. $11,530 profit b. $745 profit c. $745 loss d. $11,226 loss e. $11,226 profit ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

82. The average cost of a product changes at the rate

$26.00. Find the average cost function

and the average cost of 14 units is

a. b. c.

Page 1173

d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

83. The average cost of a product, in dollars, changes at the rate

and the average cost of 14

units is $45.00. Find the average cost of 28 units. Round your answer to the nearest cent. a. $1,260.00 b. $45.50 c. $90.00 d. $54.60 e. $1.50 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 84. Suppose that the marginal cost for a certain product is given by

, where x is in

thousand of units and cost is in thousands of dollars. Suppose further that fixed costs are $240,000. Find Round your answer to three decimal places, if necessary.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

Page 1174

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

85. Suppose that the marginal revenue for a certain product is given by

thousand of units and revenue is in thousands of dollars. Find places, if necessary.

, where x is in

. Round your calculations to two decimal

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 86. If consumption C is $1 billion when disposable income y is 0, and if the marginal propensity to consume is

0.80, find the national consumption function C as a function of y (in billions of dollars). Round your answer to two decimal places. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 87. If consumption is $5 billion when disposable income is 0, and if the marginal propensity to consume is 0.80,

what is consumption when disposable income is 50 billion? If it's necessary, round your answer to one decimal place. Copyright Cengage Learning. Powered by Cognero.

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a. $250.8 billion b. $1,005 billion c. $45 billion d. $25 billion e. $6,250.8 billion ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 88. If consumption is $8 billion when disposable income is 0, and if the marginal propensity to consume is

(in billions of dollars), find the national consumption function. If it's necessary, round your answer to two decimal places. a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 89. If consumption is $6.2 billion when disposable income is 0, and if the marginal propensity to consume is

(in billions of dollars), find the national consumption function. If it's necessary, round your calculations to three decimal places. a. b. c.

Page 1176

d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

90. Suppose that the marginal propensity to consume is

(in billions of dollars) and that

consumption is $5.95 billion when disposable income is 0. Find the national consumption function C. If it's necessary, round your calculations to two decimal places. a.

e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

91. Suppose that the marginal propensity to consume is

(in billions of dollars), and that

consumption is $6.85 billion when disposable income is 0. Find the national consumption function. If it's necessary, round your calculations to four decimal places. a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

92. Suppose that the marginal propensity to save is

(in billions of dollars), and that consumption is

$8.70 billion when disposable income is 0. Find the national consumption function. Round your answer to two decimal places. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

93. Suppose that the marginal propensity to save is

(in billions of dollars) and that

consumption is $6 billion when disposable income is 0. Find the national consumption function C. Round numbers in our answer to two decimal places when appropriate. If it's necessary, round your calculations to two decimal places. a. b. c. d.

Page 1178

e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 94. If consumption is $2 billion when disposable income is 0, and if the marginal propensity to save is

(in billions of dollars), find the national consumption function. If it's necessary, round your calculations to two decimal places. a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 95. For which of the following differential equations is

a solution?

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM Copyright Cengage Learning. Powered by Cognero.

Page 1179

DATE MODIFIED:

11/16/2020 11:57 AM

96. Consider the following function:

. Of which of the following differential equations is this a

solution? a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 97. Use integration to find the general solution to the differential equation

a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 99. Use integration to find the general solution to the differential equation

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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b. c.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

102. Find the general solution to the differential equation

a. b. c. d.

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e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 103. Find the general solution to the differential equation

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

104. Find the general solution of the differential equation

a. b. c. d. e. ANSWER:

Page 1183

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

105. Find the general solution to the differential equation

a. b. c. d.

Page 1184

when a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 108. Find the particular solution to the given differential equation.

when a.

c. d.

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that satisfies

when

. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 110. Find the particular solution to the given differential equation.

, when a. b. c. d. e. ANSWER:

Page 1186

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 111. When interest is compounded continuously, the rate of change of the amount x of the investment is

proportional to the amount present. In this case, the proportionality constant is the annual interest rate r (as a decimal); that is,

. If $4,000 is invested at 8%, compounded continuously, what will be the future value

of this investment after 11 years? Round to the nearest cent. a. $7,520.00 b. $9,615.48 c. $9,326.56 d. $9,479.68 e. $9,643.60 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 112. When the interest on an investment is compounded continuously, the investment grows at a rate that is

proportional to the amount in the account. If $45,000 is invested (when ) and the amount in the account after 16 years is $78,780.26, find the interest rate on this investment? Round to one decimal place. a. 3.0% b. 3.5% c. 4.0% d. 4.5% e. 5.0% ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 113. Suppose that in a certain, company, the relationship between the price per unit p of its product and the

Page 1187

weekly sales volume y, in thousands of dollars, is given by if

when

. Solve this differential equation

for 80% of the radioactivity to be dissipated if the amount of material x satisfies

(t in hours). Round

your answer to the nearest hour. a. 206 hours b. 195 hours c. 181 hours d. 174 hours e. 24 hours ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM Copyright Cengage Learning. Powered by Cognero.

Page 1188

115. Suppose that a liquid carries a drug into a 500-cc organ at a rate of 5 cc/s and leaves the organ at the same

rate. Suppose that the concentration of the drug entering is 0.15 g/cc. Find the amount A of drug in the organ as a function of time t if initially there is none in the organ. If it's necessary, round your calculations to four decimal places. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 116. Suppose that a liquid carries a drug with concentration 0.06 g/cc into a 180-cc organ at a rate of 8 cc/s and

leaves at the same rate. If initially there is 3 g of drug in the organ, find the amount A of drug in the organ as a function of time t. If it's necessary, round your calculations to four decimal places. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 117. Let V denote the volume of a tumor, and suppose that the growth rate of the tumor satisfies

. If the initial volume of the tumor is 1.84 units, find an equation for V as a function of t. If it's necessary, round your calculations to two decimal places. Copyright Cengage Learning. Powered by Cognero.

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to the pressure. That is,

. Suppose that the pressure at sea level is denoted by

pressure is half of what it is at sea level. Find the pressure, as a percent of

and at 18,000 ft, the

at 26,000 ft.

a. 55.1% b. 40.3% c. 34.7% d. 36.7% e. 33.5% ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 119. Newton’s law of cooling (and warming) states that the rate of change of temperature

of an object is proportional to the temperature difference between the object and its surroundings, where T is the constant temperature of the surroundings. That is,

. Suppose an object at 2°C is placed in a room where

the temperature is 20°C. If the temperature of the object is 11°C after 1 hour, how long will it take for the object to reach 15°C? Round your answer to one decimal place. a. 1.6 hours b. 1.8 hours c. 2.1 hours Copyright Cengage Learning. Powered by Cognero.

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d. 2.3 hours e. 2.9 hours ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM 120. The impact of inflation on a fixed pension can be severe. If P represents the purchasing power (in dollars)

of a $80,000 pension, then the effect of a 4.5% inflation rate can be modeled by the differential equation , where t is in years. Find the purchasing power of the pension after 35 years. Round to the nearest dollar. a. $21,529 b. $19,873 c. $13,249 d. $24,842 e. $16,561 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 11:57 AM DATE MODIFIED: 11/16/2020 11:57 AM

1. Approximate the area under the curve defined by the function

over the interval x = 0 to x = 3 using

the right-hand endpoints of three subintervals (rectangles). a.

square units

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 12:04 PM

2. Approximate the area under the curve over the specified interval by using the indicated number of

subintervals (or rectangles) and evaluating the function at the right-hand endpoints of the subintervals. Compute the approximate area using up to four decimal places as needed. from

subintervals.

a. 5 square units b. 9 square units c. 0.5 square unit d. 7.5 square units e. 20 square units ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 3. Approximate the area under the curve defined by the function

over the interval x = 0 to x = 3 using

the left-hand endpoints of three subintervals (rectangles). a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 4. Approximate the area under the curve over the specified interval by using the indicated number of

subintervals (or rectangles) and evaluating the function at the left-hand endpoints of the subintervals. Compute the approximate area using up to 4 decimal places as needed. from

subintervals.

a. 7.625 square units b. 15.25 square units Copyright Cengage Learning. Powered by Cognero.

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c. 11.25 square units d. 30.5 square units e. 2 square units ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 5. When the area under

from to is approximated, the formulas for the sum of n rectangles using left-hand endpoints and right-hand endpoints are: Left-hand endpoints:

Right-hand endpoints: Find a.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 12:04 PM 11/16/2020 12:04 PM

6. When the area under

from to is approximated, the formulas for the sum of n rectangles using left-hand endpoints and right-hand endpoints are: Left-hand endpoints:

Right-hand endpoints: Find

and

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

e 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

7. Find the value of the sum

, if

a. 64 b. 72 c. 32 d. 8 e. 44 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

8. Find the value of the sum a. 13,176 b. 13,194 c. 6,938 d. 13,188 e. 3,915 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 9. Find the value of the given sum and round to four decimal places.

a. 0.0572 b. 0.0473 c. 0.0347 Copyright Cengage Learning. Powered by Cognero.

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d. –0.0938 e. 0.0293 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

10. Find the numerical value of

by using the sum formulas.

a. 43 b. 7 c. 252 d. 253 e. 47 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 11. Use the sum formulas to find the value of the sum that follows.

a. 1,510 b. 250 c. 415 d. 1,570 e. 190 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

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12. Find the numerical value of

by using the sum formulas.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 13. Use the function

from x = 0 to x = 1 and n equal subintervals with the function evaluated at the lefthand endpoints of each subinterval. Find a formula for the sum of the areas of the n rectangles (call this S). a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

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14. Use the function

from to hand endpoints of each subinterval. Find (call this S).

and n equal subintervals with the function evaluated at the leftby using the formula for the sum of the areas of the n rectangles

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 15. Use the function

from to and n equal subintervals with the function evaluated at the right-hand endpoints of each subinterval. Find a formula for the sum of the areas of the n rectangles (call this S). a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 12:04 PM

16. Use the function

from

and n equal subintervals with the function evaluated at the

right-hand endpoints of each subinterval. Let the sum of the areas of the rectangles be S. Find the formula for the sum of the areas of the n rectangles.

by using

a. 12 b. 36 c. 72 d. 14 e. 16 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 17. Use rectangles to find the area between

and the x-axis from

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 18. The following table shows the rate of oil consumption (in thousands of barrels per year) by a certain city.

Estimate the total consumption of oil by the city from 1999 -2004 by using 5 equal subdivisions and left-hand endpoints to estimate the area under the graph that corresponds to the table from 1999 to 2004. Year

Rate

Page 1199

1999 2000 2001 2002 2003 2004

3.141 3.301 3.409 3.306 3.417 3.353

a. 17.626 thousand barrels b. 16.574 thousand barrels c. 16.786 thousand barrels d. 17.51 thousand barrels e. 15.621 thousand barrels ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 19. The graph in the following figure gives the times that it takes a vehicle to reach speeds from 0 mph to 150

mph, in increments of 30 mph, with a curve connecting them. Count the squares under the curve to estimate this distance. Estimate the distance traveled by the vehicle in 14 seconds, to a speed of 150 mph. (Be careful with time units.)

a. 3/8 mile b. 4/11 mile c. 6/11 mile d. 4/9 mile e. 1/10 mile ANSWER:

Page 1200

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 20. Suppose the presence of phosphates in certain waste products dumped into a lake promotes the growth of

algae. Rampant growth of algae affects the oxygen supply in the water, so an environmental group wishes to estimate the area of algae growth. The group measures the length across the algae growth (see the figure) and obtains the following data (in feet). x Length x Length 0 0 50 30 10 17 60 29 20 20 70 28 30 19 80 0 40 32 Use 8 rectangles with bases of 10 feet and lengths measured at the left-hand endpoints to approximate the area of the algae growth.

a. 1,180 sq ft b. 1,176 sq ft c. 1,416 sq ft d. 1,750 sq ft e. 1,764 sq ft ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

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21. Suppose spending for a wireless communications services (in billions of dollars per year) can be modeled by

the function where represents 1995. Use endpoints to approximate the area under the graph of S(t) between decimal place.

equal subdivisions with right-hand and . Round your answer to one

a. 1,554.8 billion dollars b. 729.3 billion dollars c. 828.7 billion dollars d. 634.7 billion dollars e. 777.4 billion dollars ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 22. The United States' spending for military (in billions of dollars per year) can be modeled by

, where represents 1993. Estimate the total spending for the United States military between 2000 and 2005 by using 10 equal subdivisions and right-hand endpoints to approximate the area under the graph of M(t) between and . Round to three decimal places. a. 2,713.559 billion dollars b. 2,435.039 billion dollars c. 2,458.459 billion dollars d. 2,223.48 billion dollars e. 2,504.274 billion dollars ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

23. Evaluate the definite integral

a. 50 b. 70 c. 15 d. 30 e. 10 ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

24. Evaluate

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

25. Evaluate the definite integral

a. b. c. d. e. ANSWER: POINTS:

b 1

Page 1203

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

26. Evaluate the definite integral

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

27. Evaluate the definite integral

a. 0 b. 48 c. –48 d. –96 e. 96 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

Page 1204

28. Evaluate the definite integral

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

29. Evaluate the definite integral

Page 1205

30. Evaluate the definite integral

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

31. Evaluate

Page 1206

32. Evaluate

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

33. Evaluate the definite integral

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

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34. Evaluate the given integral with the Fundamental Theorem of Calculus

a. –19 b. –18 c. –21 d. –28 e. –24 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

35. True or false. For the function

from

gives the area between the graph of

and the x-axis

a. True b. False ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 36. Find the shaded area between the given function and the x-axis.

Page 1208

and the x-axis from

a. Copyright Cengage Learning. Powered by Cognero.

Page 1209

b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 38. Find the area between the curve

and the x-axis from

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

39. Use the figure to decide which of

is larger, or if they are equal.

Page 1210

a. b. c. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

40. Evaluate

a. 9 b. 2 c. 10 d. 5 e. 0 ANSWER: POINTS: QUESTION TYPE:

e 1 Multi-Mode (Multiple choice)

Page 1211

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 41. The rate of depreciation of a building is given by

dollars per year,

. Use the

definite integral to find the total depreciation over the first 15 years. a. $798,750 b. $53,250 c. $399,375 d. $228,214 e. $1,597,500 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 42. Assume that a store finds that its sales revenue changes at a rate given by

day, where t is the number of days after an advertising campaign ends and second week after the campaign ends to .

dollars per . Find the total sales for the

a. $5,880 b. $7,042 c. $4,340 d. $12,278 e. $1,722 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 43. Suppose that a vending machine service company models its income by assuming that money flows

continuously into the machines, with the annual rate of flow given by in thousands of dollars per year. Find the total income from the machines predicted by the model over the first 4 years. Round your answer to the nearest thousand dollars. a. $28,571,000 b. $426,000 Copyright Cengage Learning. Powered by Cognero.

Page 1212

c. $571,000 d. $718,000 e. $28,426,000 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 44. Market revenue for Hammer Inc. (in millions of dollars per year) can be modeled by

where

represents 1990. Evaluate

. Round your answer to the nearest cent.

a. $1,524.75 b. $17,543.25 c. $105,259.50 d. $11,695.50 e. $58,477.50 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

45. Suppose the rate of production of a new line of products is given by

where x is the

number of items produced and t is the number of weeks the products have been in production. How many units were produced in the first 6 weeks? Round your answer to the nearest unit produced. a. 704 units b. 1,096 units c. 1,246 units d. 554 units e. 946 units ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

Page 1213

DATE MODIFIED:

11/16/2020 12:04 PM

46. Suppose in a small city the response time t (in minutes) of the fire company is given by the probability

density function

. For a fire chosen at random, find the probability that the response

time is 10 minutes or less. Round your answer to three decimal places. a. 0.76 b. 0.204 c. 0.477 d. 0.24 e. 0.523 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 47. The average life for a particular brand of car battery is given by the following probability density function

where t is in years. Find the probability that a battery chosen at random lasts between 3 and 6 years. Round your answer to two decimal places. a. 0.91 b. 0.23 c. 0.28 d. 0.18 e. 0.34 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 48. Find the area of the shaded region for the graph given below.

Page 1214

Page 1215

a. 2 b. c. d. 4 e. 7 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 50. Find the area of the shaded region.

Page 1216

Page 1217

Page 1218

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

53. Find the area of the region enclosed by

and

a. b.

Page 1219

c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 54. Equations are given whose graphs enclose a region. Find the area of the region.

and

, a. b. Copyright Cengage Learning. Powered by Cognero.

Page 1220

c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 56. Equations are given whose graphs enclose a region. Find the area of the region.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

57. Find the area of the region enclosed by the graphs of

and

a. b. c. d. Copyright Cengage Learning. Powered by Cognero.

Page 1221

e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 58. Find the area of the region bounded by a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 59. Find the average value of the function

over

a. 33 b. 39 c. 17 d. 11 e. 5 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

Page 1222

60. Find the average value of the given function over the given interval.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 61. Find the average value of the function a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

Page 1223

62. For a certain product, the total revenue is given by

, and the total cost is given by

Write an integral that gives the average profit for the product over the interval from 5 to 11 a.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 63. The cost of producing x units of a certain item is

Find the average value of the cost function C(x) over the interval from 0 to 1,000. Round answer to nearest penny. a. $764,866.67 b. $2,294,600.00 c. $449,921.57 d. $3,059,466.67 e. $1,759,193.33 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 64. Suppose the number of daily sales of a product was found to be given by Copyright Cengage Learning. Powered by Cognero.

, x days after the Page 1224

start of an advertising campaign for this product. Find the average daily sales during the first 25 days of the campaign—that is, from to . Round your answer to the nearest dollar. a. $112 b. $110 c. $108 d. $224 e. $216 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

65. The demand function for a certain product is given by

, where p is the price and q is the

number of units demanded. Find the average price as demand ranges from 45 to 83 units. Round your answer to the nearest penny. a. $966.39 b. $486.97 c. $2,075.96 d. $715.85 e. $1,646.45 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 66. Assume that the tax burden per capita (in dollars) for selected years from 1950 to 1992 can be modeled

by where represents 1950. If the model remains valid, find the predicted average federal tax burden per capita from 1990 to 2000. Round your answer to the nearest dollar. a. $5,006 federal tax per capita b. $5,507 average federal tax per capita c. $10,870 average federal tax per capita d. $12,078 average federal tax per capita e. $6,119 average federal tax per capita ANSWER: POINTS:

b 1

Page 1225

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 67. Suppose that the income from a slot machine in a casino flows continuously at a rate of

where t is the time in hours since the casino opened. The total income during the first 12 hours is given by

. Find the average income over the first 12 hours. a. $925.68 b. $1,003.25 c. $2,334.56 d. $1,795.82 e. $3,052.89

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 68. A drug manufacturer has developed a time-release capsule with the number of milligrams of the drug in the

bloodstream given by

where x is in hours and

. Find the average number

of milligrams of the drug in the bloodstream for the first 4 hours after a capsule is taken. Round your answer to the nearest milligram. a. 372 mg b. 319 mg c. 279 mg d. 223 mg e. 255 mg ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 69. The Lorenz curve for the income distribution in a certain country in 2005 is given by Copyright Cengage Learning. Powered by Cognero.

. Find the Page 1226

Gini coefficient of income for 2005 for this country. Round your answer to four decimal places. a. 0.3452 b. 0.4487 c. 0.5419 d. 0.2031 e. 0.2576 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 70. In an effort to make the distribution of income more nearly equal, the government of a country passes a tax

law that changes the Lorenz curve from for 2004 to coefficient of income for both years. Round your answer to six decimal places.

for 2005. Find the Gini

a. 2004: 0.303103

2005: 0.210256 b. 2004: 0.398119 2005: 0.282759 c. 2004: 0.244701 2005: 0.167347 d. 2004: 0.205170 2005: 0.138983 e. 2004: 0.579909 2005: 0.431579 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

71. Suppose the Gini coefficient of income for a certain country is

If the Lorenz curve for this country

, find the value of p. a. 19 b. 18 c. 17

Page 1227

d. 20 e. 21 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 72. Suppose that the Carter Car Service franchise finds that the income generated by its stores can be modeled

by assuming that the income is a continuous stream with a monthly rate of flow at time t given by (dollars per month). Find the total income from a Carter Car Service store for years 4 through 5 of operation and round to the nearest penny. a. $733,370.22 b. $1,738,160.75 c. $797,943.70 d. $1,268,730.48 e. $893,472.17 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 73. A small brewery considers the output of its bottling machine as a continuous income stream with an annual

rate of flow at time t given by in thousands of dollars per year. Find the income from this stream for the next 25 years. Round your answer to the nearest dollar. a. $504,853 b. $509,150 c. $495,674 d. $514,032 e. $500,105 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

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74. A franchise models the profit from its store as a continuous income stream with a monthly rate of flow at

time t given by (dollars per month). When a new store opens, its manager is judged against the model, with special emphasis on the second half of the first year. Find the total profit for the second 6month period to . Round your answer to the nearest dollar. a. $40,292 b. $35,361 c. $30,037 d. $25,106 e. $31,382 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 75. The Carter Car Service franchise has a continuous income stream with a monthly rate of flow modeled by

(dollars per month). Find the average flow of income over years 3 to 6. Round your answer to the nearest cent. a. $15,112.01 b. $13,021.04 c. $35,816.99 d. $20,703.46 e. $14,579.90 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 76. A continuous income stream has an annual rate of flow at time t given by

(dollars per year). Find the present value of this income stream for the next 7 years, if the money is worth 5% compounded continuously. Round to the nearest dollar. a. $37,212 b. $84,136 c. $139,172 d. $115,133 e. $63,260 Copyright Cengage Learning. Powered by Cognero.

Page 1229

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 77. Suppose that a printing firm considers the production of its presses as a continuous income stream. If the

annual rate of flow at time t is given by in thousands of dollars per year, and if money is worth 9% compounded continuously, find the present value and future value of the presses over the next 10 years. Round your answer to the nearest dollar. a. Present Value: $277,848; Future Value: $683,396 b. Present Value: $210,782; Future Value: $518,439 c. Present Value: $160,860; Future Value: $395,652 d. Present Value: $221,394; Future Value: $544,541 e. Present Value: $170,226; Future Value: $418,688 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 78. Suppose that a vending machine company is considering selling some of its machines. Suppose further that

the income from these particular machines is a continuous stream with an annual rate of flow at time t given by Find the present value and future value of the machines over the next 5 years if the money is worth 12% compounded continuously. Round answers to the nearest dollar. a. PV = $8,104

FV = $14,767 b. PV = $8,104 FV = $12,389 c. PV = $6,799 FV = $12,389 d. PV = $6,799 FV = $14,767 e. PV = $9,519 FV = $14,767 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

Page 1230

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 79. A 58-year-old couple are considering opening a business of their own. They will either purchase an

established Gift and Card Shoppe or open a new Video Rental Palace. The Gift Shoppe has a continuous income stream with an annual rate of flow at time t given by (dollars per year) and the Video Palace has a continuous income stream with a projected annual rate of flow at time t given by (dollars per year). The initial investment is the same for both businesses, and money is worth 10% compounded continuously. Find the present value of the Gift Shoppe over the next 6 years (until the couple reach age 64). Round your answer to the nearest dollar. a. $275,341 b. $133,434 c. $251,682 d. $174,470 e. $225,594 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 80. A 58-year-old couple are considering opening a business of their own. They will either purchase an

established Gift and Card Shoppe or open a new Video Rental Palace. The Gift Shoppe has a continuous income stream with an annual rate of flow at time t given by (dollars per year) and the Video Palace has a continuous income stream with a projected annual rate of flow at time t given by (dollars per year). The initial investment is the same for both businesses, and money is worth 10% compounded continuously. Determine which is the better buy by finding the present value of each business over the next 8 years (until the couple reach age 66). a. the Video Palace b. the Gift Shoppe ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 81. The demand function for a product is

where p is in millions of dollars and x is the number of thousands of units. If the equilibrium price is $6 million, what is the consumer’s surplus? Round your answer to Copyright Cengage Learning. Powered by Cognero.

Page 1231

the nearest million dollars. a. 174 million dollars b. 307 million dollars c. 229 million dollars d. 222 million dollars e. 258 million dollars ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 82. The demand function for a product is

, where p is the number of dollars and x is the number of units. If the equilibrium price is $20, what is the consumer’s surplus? a. $1,365 b. $1,440 c. $1,565 d. $1,410 e. $1,530 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

83. The demand function for a product is

, where p is the number of dollars and x is the number of

units. If the equilibrium quantity is $9, what is the consumer’s surplus? Round your answer to two decimal places. a. $49.42 b. $61.05 c. $103.78 d. $134.92 e. $249.08 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 84. The demand function for a certain product is

and the supply function is where p is in millions of dollars and x is the number of thousands of units. Find the equilibrium point (x, p) and the consumer’s surplus there. Round your answer to the nearest million dollars, where applicable. a. Equilibrium point: (4, 70); Consumer’s surplus: 43 million dollars b. Equilibrium point: (6, 70); Consumer’s surplus: 129 million dollars c. Equilibrium point: (30, 70); Consumer’s surplus: 215 million dollars d. Equilibrium point: (4, 30); Consumer’s surplus: 199 million dollars e. Equilibrium point: (6, 30); Consumer’s surplus: 113 million dollars ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 85. The demand function for a product is

and the supply function is , where p is the number of dollars and x is the number of units. Find the consumer’s surplus there. Round to the nearest cent. a. $262.56 b. $341.33 c. $409.60 d. $716.80 e. $409.60 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

86. If the demand function for a product is

and the supply function is

where p is in

millions of dollars and x is the number of thousands of units. Find the consumer’s surplus. Round your answer to the nearest million dollars. a. 299 million dollars b. 296 million dollars c. 285 million dollars Copyright Cengage Learning. Powered by Cognero.

Page 1233

d. 206 million dollars e. 246 million dollars ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

87. The total cost function for a product is

, and the demand function is

where p is the number of dollars and x is the number of units. Find the consumer’s surplus at the point where the product has maximum profit. Round to the nearest cent. a. $256.00 b. $295.38 c. $576.00 d. $384.00 e. $182.86 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 88. The supply function for a good is

, where p is the number of dollars and x is the number of units. If the equilibrium price is $23 what is the producer’s surplus at the equilibrium price? Round to the nearest cent. a. $12.45 b. $5.63 c. $4.07 d. $10.98 e. $7.32 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

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89. If the supply function for a commodity is

where p is in millions of dollars and x is the number of thousands of units. What is the producer’s surplus when 6 thousand units are sold? Round your answer to the nearest million dollars. a. 664 million dollars b. 576 million dollars c. 583 million dollars d. 381 million dollars e. 604 million dollars ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 90. If the supply function for a commodity is

number of thousands of units. What is the producer’s surplus at million dollars.

where p is in millions of dollars and x is the ? Round your answer to the nearest

a. 573,847 million dollars b. 880,313 million dollars c. 527,233 million dollars d. 659,334 million dollars e. 573,333 million dollars ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 91. Find the producer’s surplus for a product if its demand function is

and its supply function is where p is in millions of dollars and x is the number of thousands of units. Round your answer to the nearest million dollars. a. 53 million dollars b. 44 million dollars c. 40 million dollars d. 36 million dollars e. 47 million dollars ANSWER:

Page 1235

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

92. Find the producer's surplus for a product with demand function

and supply function

where p is in millions of dollars and x is the number of thousands of units. Round your answer to one decimal place. a. 55.1 million dollars b. 40.9 million dollars c. 34.2 million dollars d. 36.1 million dollars e. 37.1 million dollars ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 93. The demand function for a product is

, and the supply function for it is where p is the number of dollars and x is the number of units. If the equilibrium price is $268 what is the producer’s surplus at the equilibrium price? Round to the nearest cent.

a. $50.29 b. $85.50 c. $222.30 d. $119.70 e. $256.50 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

94. Use an integral formula to evaluate

Page 1236

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

95. Use an integral formula to evaluate

Page 1237

96. Evaluate the integral

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

97. Evaluate the integral

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

98. Use an integral formula to evaluate Copyright Cengage Learning. Powered by Cognero.

. Page 1238

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

99. Use an integral formula to evaluate

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

Page 1239

DATE MODIFIED:

11/16/2020 12:04 PM

100. Use an integral formula to evaluate

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 101. Evaluate the integral

ANSWER: POINTS:

a 1

Page 1240

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

102. Use an integral formula to evaluate

Page 1241

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

104. Evaluate the integral

a. b. c.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

105. Evaluate the integral

a. b. c. d.

Page 1242

e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

106. Use an integral formula to evaluate

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

107. Use an integral formula to evaluate

Page 1243

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

108. Evaluate the integral

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

Page 1244

109. Evaluate the integral

Page 1245

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 112. Use formulas or numerical integration with a graphing calculator or computer to evaluate the given definite

integral. Round answer to three decimal places.

a. 1.180 b. 1.771 c. 3.010 d. 4.958 e. 6.020 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 113. If the supply function for x units of a commodity is

surplus at

dollars, what is the producer’s

? Round your answer to the nearest dollar.

Page 1246

a. $8,952 b. $2,142 c. $4,069 d. $1,696 e. $2,970 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

114. If the demand function for wheat is

bushels of wheat, estimate the consumer’s surplus at

dollars, where x is the number of hundreds of Round answer to the nearest cent.

a. $767.13 b. $1185.57 c. $1534.26 d. $1738.83 e. $2608.25 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 115. Suppose the marginal cost for x units of a good is

(dollars per unit) and if the fixed cost is

$200 find the total cost function of the good? a. b. c. d. e.

Page 1247

(dollars per unit) and if the fixed cost is

$300. What is the total cost of producing 6 units of this good? Round your answer to the nearest dollar. a. 299 dollars b. 323 dollars c. 324 dollars d. 301 dollars e. 349 dollars ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

117. Suppose that the demand function for an appliance is

where q is the number of units and p

is in dollars. What is the consumer's surplus if the equilibrium price is $9 and the equilibrium quantity is 26? Round your answer to the nearest dollar. a. $191 b. $194 c. $539 d. $549 e. $192 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 118. Suppose that when a new oil well is opened, its production is viewed as a continuous income stream with

monthly rate of flow where t is time in months and f is in thousands of dollars per month. Find the total income over the next 40 years (480 months). Round your answer to one decimal place. Copyright Cengage Learning. Powered by Cognero.

Page 1248

a. 41,776.7 thousand dollars b. 99,623.7 thousand dollars c. 42,023.7 thousand dollars d. 61,203.7 thousand dollars e. 118,823.7 thousand dollars ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 119. Use integration by parts to evaluate

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM 120. Use integration by parts to evaluate

Page 1249

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

121. Use integration by parts to evaluate the integral a.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

122. Use integration by parts to evaluate

Page 1250

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

123. Use integration by parts to evaluate the integral

Page 1251

b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

125. Use integration by parts to evaluate

. Note that evaluation may require integration by parts more

than once.

Page 1252

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

127. Use integration by parts to evaluate the integral

. Note that evaluation may require integration

by parts more than once. a.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM Copyright Cengage Learning. Powered by Cognero.

Page 1253

DATE MODIFIED:

11/16/2020 12:04 PM

128. Use integration by parts to evaluate the integral

. Note that evaluation may require

integration by parts more than once. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:04 PM DATE MODIFIED: 11/16/2020 12:04 PM

129. Use integration by parts to evaluate

. Note that evaluation may require integration by parts more

than once. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 130. Determine the most appropriate method or integral formula for evaluating the given integral. Next, evaluate

the integral. Copyright Cengage Learning. Powered by Cognero.

Page 1254

I. Integration by parts

I. Integration by parts; b. c.

e. not integrable by any of the techniques we have studied ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 131. Evaluate the integral

a. b. c. d. e.

Page 1255

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 132. Determine the most appropriate method or integral formula for evaluating the given integral. Next, evaluate

the integral. I. Integration by parts

I. Integration by parts; b. c. d.

e. not integrable by any of the techniques we have studied ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 133. Determine the most appropriate method or integral formula for evaluating the given integral. Next, evaluate

the integral. I. Integration by parts

Page 1256

I. Integration by parts; b.

c. d.

e. not integrable by any of the techniques we have studied ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 134. If the supply function for x units of a commodity is

surplus at

dollars, what is the producer's

? Round your answer to two decimal places.

a. $1,085.15 b. $14,776.12 c. $19,471.79 d. $14,904.12 e. $19,599.79 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM Copyright Cengage Learning. Powered by Cognero.

Page 1257

135. If the marginal cost function for x units of a product is

dollars per unit, and if the fixed

cost is $140, find the total cost function. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 136. Suppose that the profit from a machine's production can be considered as a continuous income stream with

annual rate of flow at time t given by (dollars per year). If money is worth 16%, compounded continuously, find the present value of this stream over the next 7 years. Round your answer to the nearest dollar. a. $38,437 b. $50,144 c. $42,706 d. $39,035 e. $46,183 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 137. Suppose the Lorenz curve for the distribution of income of a certain country is given by

Find the Gini coefficient of income. Round your answer to three decimal places. a. 2.632 b. 2.896 c. 4.264 d. 5.632 e. 0.264 ANSWER:

Page 1258

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 138. Suppose the income from an Internet access business is a continuous income stream with annual rate of

flow given by

in thousands of dollars per year. Find the total income over the next 20 years.

thousand dollars b.

thousand dollars c.

thousand dollars d.

thousand dollars e.

thousand dollars ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 139. With data for 1990 to 2002, the total receipts for world tourism (in billions of dollars per year) can be

modeled by the function where represents 1985. Find the predicted total receipts for world tourism for the decade from 1995 to 2005. Round your answer to one decimal place. a. $2,855.3 billion b. $13,466.7 billion c. $5,374.2 billion d. $6,970.6 billion e. $10,745.1 billion ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM Copyright Cengage Learning. Powered by Cognero.

Page 1259

140. With the data for selected years from 1920 to 2007, the life span of individuals in a country can be modeled

by where x = 0 represents 1900. Find the predicted average life span from 2020 to 2035. Round your answer to the nearest year. a. 131 years b. 150 years c. 92 years d. 299 years e. 50 years ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 141. Evaluate the improper integral if it converges, or state that it diverges.

a. b. c. d. e. diverges ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

142. Evaluate the integral

a. b.

Page 1260

c. d. e. integral diverges ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 143. Evaluate the improper integral if it converges, or state that it diverges.

a. b. c. d. e. diverges ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 144. Evaluate the improper integral if it converges, or state that it diverges.

a. b.

c. d.

e. diverges ANSWER:

Page 1261

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 145. Evaluate the improper integral if it converges, or state that it diverges.

146. Evaluate the integral

a. 0 b. c. d.

e. integral diverges ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM Copyright Cengage Learning. Powered by Cognero.

Page 1262

147. Evaluate the improper integral if it converges, or state that it diverges.

a. b. c. d. e. diverges ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 148. Evaluate the improper integral if it converges, or state that it diverges.

a. b. c. d. e. diverges ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 149. Evaluate the improper integral if it converges, or state that it diverges.

a. 1 Copyright Cengage Learning. Powered by Cognero.

Page 1263

b. 0 c. d. e. diverges ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 150. Evaluate the integral

a. 0 b. c. d.

a. 12 b. 15 c. -9 d. 9 e. -12 ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

Page 1264

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

152. Find the area, if it exists, of the region under the graph of

and to the right of

a. b. c. d. e. does not exist ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 153. Find the area, if it exists, of the region under the graph of y=f(x) and to the right of x=1.

a. 25 b. 26 c. 6 d. 5 e. does not exist ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

Page 1265

154. For what value of a is

a probability density function?

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

155. For what value of c is the function

a probability density function?

a. 2,880 b. 1,440 c. 5,760 d. 57,600 e. 28,800 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 156. Find the mean of the probability distribution if the probability density function is

. Round your answer to two decimal places.

a. 2,262.74 b. 80 c. 56.57 d. 40 Copyright Cengage Learning. Powered by Cognero.

Page 1266

e. 252.98 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 157. In a manufacturing process involving several machines, the average down time t (in hours) for a machine

that needs repair has the probability density function . Find the probability that a failed machine's down time is 2 hours or more. Round your answer to three decimal places. a. 0.835 b. 0.978 c. 0.175 d. 0.165 e. 0.022 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 158. The probability density function for the life span of an electronics part is

where t is the number of months in service. Find the probability that any given part of this type lasts longer than 25 months. Round your answer to three decimal places. a. 0.607 b. 0.393 c. 0.405 d. 0.617 e. 0.595 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 159. Suppose that the output of the machinery in a factory can be considered as a continuous income stream Copyright Cengage Learning. Powered by Cognero.

Page 1267

with an annual rate of flow at time t given by in thousands of dollars per year. If the annual interest rate is 5% compounded continuously, find the capital value of the machinery. Round your answer to the nearest dollar. a. $4,038,462 b. $1,076,923 c. $1,794,872 d. $5,923,077 e. $2,692,308 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 160. A transmission repair firm that wants to offer a lifetime warranty on its repairs has determined that the

probability density function for transmission failure after repair is , where t is the number of months after repair. What is the probability that a transmission chosen at random will last more than 4 months? Round to 3 decimal places. a. 0.116 b. 0.083 c. 0.165 d. 0.182 e. 0.149 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 161. Suppose that the rate at which a nuclear power plant produces radioactive waste is proportional to the

number of years it has been operating, according to in pounds per year. Suppose also that the waste decays exponentially at a rate of 3% per year. Then the amount of radioactive waste that will accumulate in b years is given by

. Evaluate this integral.

a. b. Copyright Cengage Learning. Powered by Cognero.

Page 1268

c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 162. Suppose that the rate at which a nuclear power plant produces radioactive waste is proportional to the

number of years it has been operating, according to in pounds per year. Suppose also that the waste decays exponentially at a rate of 6% per year. Then the amount of radioactive waste that will accumulate in b years is given by

and this integral evaluates to

much waste will accumulate in the long run? Take the limit as answer to the nearest pound, if it exists.

. How

in the integral evaluated. Round your

a. Approximately 135,500 pounds of waste will accumulate in the long run. b. Approximately 8,130 pounds of waste will accumulate in the long run. c. Approximately 127,370 pounds of waste will accumulate in the long run. d. 0 (No waste will accumulate in the long run.) e.

(Waste is produced more rapidly than existing waste decays.)

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 163. For the interval [–5,5] and for n = 3 find h. a. b. c. d.

Page 1269

e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 164. For the interval [6,18] and n = 4, find the values of a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

165. Use the Trapezoidal Rule to approximate

with n = 6. Round your answer to two decimal places.

a. 20157.53 b. 6280.38 c. 10078.77 d. 4381.19 e. 7596.77 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

166. Use Simpson's Rule to approximate

with n = 6. Round your answer to two decimal places.

a. 335.90 Copyright Cengage Learning. Powered by Cognero.

Page 1270

b. 647.50 c. 1,775.28 d. 551.25 e. 1,580.83 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

167. Evaluate the integral

by integration. Round your answer to two decimal places.

a. 55.00 b. 2,007.50 c. 330.00 d. 24,090.00 e. 312.50 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

168. Use the Trapezoidal Rule to approximate

with n = 6. Round your answer to two decimal places.

a. 25.02 b. 7.30 c. 10.43 d. 4.69 e. 12.51 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM Copyright Cengage Learning. Powered by Cognero.

Page 1271

169. Use Simpson's Rule to approximate

with n = 6. Round your answer to two decimal places.

a. 11.44 b. 22.89 c. 61.04 d. 20.36 e. 61.09 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

170. Evaluate the integral

by integration. Round your answer to two decimal places.

a. 96.00 b. 28.95 c. 0.53 d. 12.87 e. 19.05 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

171. Approximate the given integral by using the Trapezoidal Rule

with n = 4. Round your

answer to 3 decimal places. a. 0.092 b. 0.058 c. 0.068 d. 0.041 e. 0.184 ANSWER: POINTS:

a 1

Page 1272

QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

172. Use Simpson's Rule to approximate

with n = 4. Round your answer to 3 decimal places.

a. 0.549 b. 0.085 c. 1.667 d. 0.737 e. 2.274 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

173. Use the Trapezoidal Rule to approximate

with n = 4. Round your answer to 3

decimal places. a. 12.617 b. 3.933 c. 4.751 d. 2.745 e. 6.308 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

174. Use Simpson's Rule to approximate

with n = 6. Round your answer to 3 decimal

places. a. 8.256 b. 4.127 Copyright Cengage Learning. Powered by Cognero.

Page 1273

c. 22.011 d. 4.589 e. 22.037 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

175. Use Simpson's Rule to approximate

with n = 4. Round your answer to 2 decimal places.

a. 6.05 b. 12.15 c. 33.37 d. 6.08 e. 30.60 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

176. Use the table values and apply the Simpson's Rule to approximate

x 4 4.4 4.8 5.2 5.6 6 6.4

to one decimal place.

f(x) 1.3 0.7 0.2 0.8 0.6 0.8 0.6

a. 1.3 b. 1.3 c. 1.1 d. 1.7 e. 1.9 ANSWER:

Page 1274

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

177. Use the table of values to approximate

Use Simpson’s Rule and round your answers to one

decimal place. x 0 0.5 1 1.5 2 2.5 3

f(x) 8.1 4.5 3.8 0.0 4.5 7.6 9.8 a. 82.8 b. 41.4 c. 27.6 d. 13.8 e. 4.6

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 178. The production from a particular assembly line is considered a continuous income stream with annual rate

(in thousands of dollars per year). Use Simpson’s Rule with n = 4 to

of flow given by

approximate the total income to 2 decimal places over the first 2 years, given by

a. $107,619.44 b. $247,524.72 c. $63,305.55 d. $333,620.27 e. $150,667.22 ANSWER:

Page 1275

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

179. Suppose that the demand for q units of a certain product at p per unit is given by

. Use

Simpson's Rule with n = 6 to approximate the average price as demand ranges from 5 to 9 items to the nearest cent. a. $702.17 b. $351.10 c. $535.00 d. $1,560.33 e. $2,808.67 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 180. Consider the following supply and demand schedules, with p in dollars and x as the number of units.

Supply Schedule x p

Demand Schedule x p

0 130 0 870 10 250 10 750 20 350 20 690 30 430 30 570 40 490 40 490 50 590 50 410 Use Simpson’s Rule to approximate the producer’s surplus at market equilibrium to 2 decimal places. Note that market equilibrium can be found from the tables. a. $6,133.33 b. $23,400.00 c. $16,266.67 d. $26,733.33 e. $13,466.67 ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

Page 1276

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 181. Suppose the following table gives the supply and demand schedules, with p in dollars and x as the number

of units. Use Simpson’s Rule to approximate the consumer’s surplus at market equilibrium. Note that market equilibrium can be found from the tables. Supply x 0 10 20 30 40 50 60 70

Schedule p 120 260 380 450 540 630 680 720

Demand x 0 10 20 30 40 50 60 70

Schedule p 2,400 1,400 1,250 950 800 733 680 645

a. $30,744 b. $24,240 c. $27,240 d. $11,293 e. $28,657 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 182. Suppose that the rate of production of a product (in units per week) is measured at the end of each of the

first 5 weeks after start-up, and the following data are obtained. Use the Trapezoidal Rule to approximate the total number of units produced in the first 5 weeks. Round your answer to two decimal places. Weeks t Rate R(t)

0 300

1 297.8

2 345.6

3 293.1

4 241.6

5 288.5

a. 1,472.35 units b. 2,451.90 units c. 760.90 units d. 1,517.00 units Copyright Cengage Learning. Powered by Cognero.

Page 1277

e. 708.75 units ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 183. The manufacturer of a medicine wants to test how a new 300-milligram capsule is released into the

bloodstream. After a volunteer is given a capsule, blood samples are drawn every half-hour, and the number of milligrams of the drug in the bloodstream is calculated. The results obtained are as follows. Time t N(t) (hr) (mg) 0 0 0.5 247.9 1 265.6 1.5 235.7 2 177 2.5 115.4 Use the trapezoidal rule to approximate the average number of milligrams in the bloodstream during the first hours and round your answer to two decimal places. a. 432.92 mg b. 196.78 mg c. 122.99 mg d. 255.81 mg e. 334.53 mg ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 184. The following income distribution data define points on Lorenz curves, where x represents the fraction of a

certain country's population and L(x) the cumulative percent of income held by fraction x. Use this data and a numerical method to evaluate

and hence to find the Gini coefficient of income for this

country in 1995 and 2003. Round your answers to three decimal places. x 0.0

0.2

0.4

0.6

0.8

1.0 Page 1278

L(x) for Americans 1995 2003

0 0

3.5 2.9

12.1 11.5

29.1 28.4

54 50.5

100 100

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 185. The presence of phosphates in certain waste products dumped into a lake promotes the growth of algae.

Rampant growth of algae affects the oxygen supply in the water, so an environmental group wishes to estimate the area of algae growth. Group members measure across the algae growth (see the Figure) and obtain the following data (in feet). x Width w x Width w 0 0 50 26 10 11 60 23 20 20 70 24 30 20 80 0 40 34 Use Simpson’s Rule to approximate the area of the algae growth and round your answer to the nearest square foot.

Page 1279

a. 1,138 sq ft b. 1,593 sq ft c. 2,709 sq ft d. 2,071 sq ft e. 3,665 sq ft ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM 186. Suppose a land developer is planning to dig a small lake and build a group of homes around it. To estimate

the cost of the project, the area of the lake must be calculated from the proposed measurements (in feet) given in the following figure and in the table. Use Simpson’s Rule to approximate the area of the lake. Round your answer to two decimal places.

where a = 500, b = 300, c = 600 x Width w(x)

0 0

100 500

200 300

300 600

400 0 Page 1280

a. 100,000 sq ft b. 166,666.67 sq ft c. 186,666.67 sq ft d. 113,333.33 sq ft e. 83,333.33 sq ft ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:05 PM DATE MODIFIED: 11/16/2020 12:05 PM

1. Give the domain of the function

domain: all reals with

and

domain: all reals with c.

domain: all reals with d.

domain: all reals with e.

domain: all reals with

and

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:12 PM DATE MODIFIED: 11/16/2020 12:12 PM

2. Give the domain of the function

domain: all reals x and y with b.

domain: all reals x and y with Copyright Cengage Learning. Powered by Cognero.

Page 1281

domain: all reals x and y with d.

domain: all reals x and y with

and

domain: all reals x and y with ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 3. Give the domain of the function

a. domain: all reals

and

with

b. domain: all reals

and

with

c. domain: all reals

and

with

d. domain: all reals

and

with

e. domain: all reals

and

with

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 4. Evaluate the function at the given values of the independent variables.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

Page 1282

DATE CREATED: DATE MODIFIED:

11/16/2020 12:13 PM 11/16/2020 12:13 PM

5. Evaluate the function at the given values of the independent variables.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 6. Evaluate the function at the given values of the independent variables.

;

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

Page 1283

7. Use the function

to find

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 8. Use the function

to find

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

9. Use the function

to find

a. b.

Page 1284

c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 10. If

, find

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

11. Evaluate the function

to find

a. b. c. d. e. ANSWER:

Page 1285

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

12. If

, find

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 13. The future value S of an investment earning 7% compounded continuously is a function of the principal P

and the length of time t that the principal been invested. It is given by of $27,000 invested for 25 years.

. Find the future value

a. $28,957.72 b. $155,721.55 c. $128,374.27 d. $5.75 e. $155,374.27 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 14. Suppose that if $100,000 is borrowed to purchase a home, then the monthly payment R is a function of the

interest rate i (expressed as a percent) and the number of years n before the mortgage is paid, and is given by

Page 1286

. Find

and interpret your answer. Round your answer

to two decimal places. a.

The monthly payment for $100,000 borrowed for 80 years at 8.25% interest is $686.54. b.

The monthly payment for $100,000 borrowed for 80 years at 8.25% interest is $1,426.41. c.

The monthly payment for $100,000 borrowed for 80 years at 8.25% interest is $688.46. d.

The monthly payment for $100,000 borrowed for 80 years at 8.25% interest is $1,395.89. e.

The monthly payment for $100,000 borrowed for 80 years at 8.25% interest is $689.46. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 15. In economics, the most economical quantity Q of goods (TVs, dresses, gallons of paint, etc.) for a store to

order is given by Wilson’s lot size formula

, where K is the cost of placing the order,

M is the number of items sold per week, and h is the weekly holding cost for each item (the cost of storage space, utilities, taxes, security, etc.). Find . a. 267 b. 20 c. 378 d. 71,400 e. 534 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

Page 1287

16. Suppose that a gas satisfies the universal gas law,

with n equal to 40 moles of the gas and R, the

universal gas constant, equal to 0.082054. What is V if (kelvins, the units in which temperature is measured on the Kelvin scale) and atmosphere? Round your answer to four decimal places. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 17. There are different models for measuring the effects of high temperature and humidity. One of these is the

Summer Simmer Index (S), given by , where T is the air temperature (in degrees Fahrenheit) and H is the relative humidity (expressed as a decimal). In a certain city, the measured temperature and humidity on a given day are: Maximum: with 41% humidity Minimum: with 76% humidity Calculate the Summer Simmer Index S for both the maximum and minimum temperatures. a. maximum,

;

minimum, b. maximum,

;

minimum, c. maximum,

;

minimum, d. maximum,

;

minimum, e. maximum,

;

minimum, ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM Copyright Cengage Learning. Powered by Cognero.

Page 1288

DATE MODIFIED:

11/16/2020 12:13 PM

18. The following table shows the monthly mortgage payment R for a given interest rate 5% as a function of the

amount financed A (in thousands of dollars) and the duration of the loan n in years. If to find . Round your answer to the nearest cent. Amount Financed

10 Years

20 Years

, use the table

30 Years

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 19. Suppose wind and cold temperatures combine to make the air temperature feel colder than it actually is. This

combination is reported as wind chill. The following table shows that wind chill temperatures, WC, are a function of wind speed, , and air temperature, . If , use the table to find and interpret the answer.

Wind Speed (mph)

5 15 25 35 45

Air Temperature 35 25 15 5 32 19 7 5 25 13 0 –13 23 9 –4 –18 20 7 –7 –21 19 5 –17 –23

–5 –6 –26 –31 –34 –37

–15 –28 –39 –44 –49 –51

–25 –40 –51 –58 –62 –65

For a wind speed of 45 mph and air temperature of

, the wind-chill temperature is

For a wind speed of 45 mph and air temperature of

, the wind-chill temperature is

b. Copyright Cengage Learning. Powered by Cognero.

. Page 1289

For a wind speed of 45 mph and air temperature of

, the wind-chill temperature is

For a wind speed of 45 mph and air temperature of

, the wind-chill temperature is

For a wind speed of 45 mph and air temperature of

, the wind-chill temperature is

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 20. Suppose that the utility function for two goods X and Y is given by

, and a consumer purchases 3 units of X and 6 units of Y. If the consumer purchases 3 units of Y, how many units of X must be purchased to retain the same level of utility? a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 21. Suppose that an indifference curve for two goods, X and Y, has the equation

. If 75 units of X are

purchased, how many units of Y must be purchased to remain on this indifference curve? a.

units of Y. b. 208,125 units of Y. c. 37 units of Y. d. 60 units of Y. e. 74 units of Y. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

Page 1290

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 22. Suppose that a company’s production for Q units of its product is given by the Cobb-Douglas production

function

, where K is dollars of capital investment and L is labor hours. Find Q if K =

$20,600 and L = 690 hours. Round your answer to the nearest whole number. a. 290,822 units b. 1,613 units c. 2,026 units d. 53,225 units e. 22,770 units ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 23. Suppose that the number of units of a good produced z is given by

, where x is the number of machines working properly and y is the average number of work hours per machine. Find the production for a week in which 13 machines are working properly and the average number of work hours per machine is 34. Round your answer to the nearest whole number. a. 15,028 units b. 12,376 units c. 364 units d. 4,732 units e. 32,368 units ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 24. The cost per day to society of an epidemic is

, where C is in dollars, x is the number of people infected on a given day, and y is the number of people who die on a given day. If 13,500 people are infected and 75 people die on a given day, what is the cost to society? Round your answer to the nearest dollar. a. Copyright Cengage Learning. Powered by Cognero.

Page 1291

b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 25. Suppose an area of land is to be sprayed with two brands of pesticide: x liters of brand 1 and y liters of brand

2. If the number of thousands of insects killed is given by . How many insects would be killed if 60 liters of brand 1 and 130 liters of brand 2 were used? Round your answer to the nearest integer. a.

insects

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

26. If

, find

a. b. c. d.

Page 1292

e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 27. If

, find

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

28. If

, find

and

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

Page 1293

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 29. If a.

, find

and

, c.

, d.

, e.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

30. If

, find

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

Page 1294

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

31. If

, find

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

32. If

, find

b. c.

ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

Page 1295

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 33. If

, find

a. b. c.

d. e.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 34. If

, find

a. b.

d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM Copyright Cengage Learning. Powered by Cognero.

Page 1296

DATE MODIFIED:

11/16/2020 12:13 PM

35. If

, find

and

c. d.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 36. Find the slope of the tangent in the positive x-direction to the surface

at the point

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 37. Find the slope of the tangent in the positive -direction to the surface Copyright Cengage Learning. Powered by Cognero.

. Page 1297

, find

and

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

Page 1298

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

40. If

find

and

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

41. If

, find

Page 1299

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

42. If

, find

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

43. If

, find

Page 1300

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 44. If

, find

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

Page 1301

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 46. If

, find

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 47. In economics, the most economical quantity Q of goods (TVs, dress, gallons of paint, etc.) for a store to

order is given by Wilson's lot size formula

, where K is the cost of placing the order, M is the

number of items sold per week, and h is the weekly holding costs for each item (the cost of storage space, utilities, taxes, security, etc.). Calculate

for

, and

. Round your answer to two

decimal places. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

Page 1302

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 48. A biologist has conjectured that the weight of a certain lizard in pounds as a function of age A in years and

length L in inches is given by

. If a lizard were to remain 13 inches long as it aged from

4 to 5 years old, then determine how much the lizard's weight would be predicted to increase over that year. Round to three decimal places. a.

lbs

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 49. Suppose that the number of thousands of insects killed by two brands of pesticide is given by

, where x is the number of liters of Brand X and y is the number of liters of Brand Y. What is the rate of change of insect deaths with respect to the number of liters of Brand X if 110 liters of each brand are currently being used? Round your answer to two decimal places. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

Page 1303

STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

50. If

is the utility function for goods X and Y, the marginal utility of X is

utility of Y is

. If

and the marginal

, find the marginal utility of X and Y.

expenditures in thousands of dollars and L is the number of labor hours. Find

, where K is the capital and

when capital

expenditures are $80,000 and the labor hours total 5,277. Round your answers to two decimal places. a. b. c. d. e.

Page 1304

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 52. Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures

and developed the concept of wind chill, which we hear reported during winter weather reports. One form of the formula that meteorologists use to calculate wind chill temperature is

, where s is wind speed and t is the actual air

temperature. Find

when the temperature is

and the wind speed is 45 mph. Round your answer to two

decimal places. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 53. The cost (in dollars) of manufacturing one item is given by

, where x is the cost of 1 hour of labor and y is the cost of 1 pound of material. If the hourly cost of labor is $16, and the material costs $9 per pound, what is the cost of manufacturing one of these items? a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

Page 1305

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 54. The total cost (in dollars) of producing 1 unit of a product is

, where x is the cost per pound of raw materials and y is the cost per hour of labor. If labor costs are held constant, at what rate will the total cost increase for each increase of $1 per pound in material cost? If material costs are held constant, at what rate will the total cost increase for each $1 per hour increase in labor costs? a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

55. The total cost (in dollars) of producing 1 unit of a product is given by

where x represents the cost per pound of raw materials and y represents the hourly rate for labor. The present cost for raw materials is $17 per pound and the present hourly rate for labor is $8. Indicate how to use the cost function C to determine how an increase of $1 per pound for raw materials will affect the total cost. Round your answer to two decimal places. a. b. c. d. e. ANSWER:

Page 1306

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

56. Suppose that the total cost of producing 1 unit of a product is given by

dollars, where x represents the cost per pound of raw materials and y represents the hourly rate for labor. The present cost for raw materials is $14 per pound and the present hourly rate for labor is $32. How will an increase of $1 per hour in labor costs affect the total cost? Round your answer to the nearest cent. a. The total cost will increase approximately $78.96 if labor costs increase to $33 per hour. b. The total cost will increase approximately $81.09 if labor costs increase to $33 per hour. c. The total cost will increase approximately $213.36 if labor costs increase to $33 per hour. d. The total cost will increase approximately $30.27 if labor costs increase to $33 per hour. e. The total cost will increase approximately $32.44 if labor costs increase to $33 per hour. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 57. The joint cost (in dollars) for two products is given by

, where x represents the quantity of product X produced and y represents the quantity of product Y produced. Find the marginal cost with respect to x if 2 units of product X and 18 units of product Y are produced. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 58. Suppose that the joint cost (in dollars) for two products is given by Copyright Cengage Learning. Powered by Cognero.

, where x Page 1307

represents the quantity of product X produced and y represents the quantity of product Y produced. Find and interpret the marginal cost with respect to y if 10 units of product X and 9 units of product Y are produced. a. If x remains at 10, the expected change in cost for an 10th unit of y is $38. b. If x remains at 10, the expected change in cost for an 10th unit of y is $23. c. If x remains at 10, the expected change in cost for an 10th unit of y is $28. d. If x remains at 10, the expected change in cost for an 10th unit of y is $42. e. If x remains at 10, the expected change in cost for an 10th unit of y is $123. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 59. Suppose that the joint cost function for two products is

dollars. Find the marginal cost

(function) with respect to x. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 60. If the joint cost function for two products is

(in dollars). Find the marginal cost with

respect to y. a.

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d. e.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 61. Suppose that the joint cost function for two products is

dollars. Find the

marginal cost with respect to x. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 62. Suppose that the joint cost function in dollars for two products is

. Find

the marginal cost with respect to y. a. b.

Page 1309

d. e.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 63. Suppose that the joint cost function for two products is

dollars. Find the marginal cost

with respect to x. a. b. c. d.

e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 64. Suppose that the joint cost function for two products is

dollars. Find the marginal cost

with respect to y. a. b. c.

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d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 65. Suppose that the production function for a product is

, where x represents the number of work

hours per month and y is the number of available machines. Determine the marginal productivity of x. a.

b. c.

e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 66. Suppose that the production function for a product is

, where x represents the number of work hours per month and y is the number of available machines. Determine the marginal productivity of y. a.

Page 1311

c. d.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

67. Suppose the production function for a product is

, where x is the capital expenditures and y is

the number of work-hours. Find the marginal productivity of x. a.

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

68. Suppose the production function for a product is Copyright Cengage Learning. Powered by Cognero.

, where x is the capital expenditures and y is Page 1312

the number of work-hours. Find the marginal productivity of y. a.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 69. Suppose that the production function for a product is

, where x represents the number of work-hours and y represents the available capital (per week). Find the marginal productivity of x. a.

b. c.

d. e.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM Copyright Cengage Learning. Powered by Cognero.

Page 1313

DATE MODIFIED:

11/16/2020 12:13 PM

70. Suppose that the production function for a product is

, where x represents the number of work hours and y represents the available capital (per week). Find the marginal productivity of y. a.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

71. Suppose that the number of tons of an agricultural product produced is given by

where x is the number of hours of labor and y is the number of acres of the crop. Find the number of tons produced when and . Round your answer to the nearest number of tons. a.

tons

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72. Suppose that the number of crates of an agricultural product is given by

, where x

is the number of hours of and y is the number of acres of the crop. Find the marginal productivity of the number of hours of labor when and . a. 0.36 b. 2.40 c. 0.50 d. 1.80 e. –2.93 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

73. Suppose the Cobb-Douglas production function for a company is given by

, where x is the

company’s capital investment and y is the size of the labor force (in work-hours). Find the marginal productivity of x. Then, find the marginal productivity of y. a.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 12:13 PM 11/16/2020 12:13 PM

74. The demand functions for two products are given by

where p1 and p2 are in dollars and q1 and q2 are numbers of units. Find the demand for each of the products if the price of the first is . a.

units units

units

and the price of the second is

units

units units

ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 75. The demand functions for two products are given by

where p1 and p2 are in dollars and q1 and q2 are numbers of units. Find a pair of prices p1 and p2 such that the demands for the products will be equal. Round your answers to the nearest cent. a. b. c. Copyright Cengage Learning. Powered by Cognero.

Page 1316

d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 76. The demand functions for qA and qB units of two related products, A and B, are given.

where pA and pB are in dollars. Find the marginal demand of qA with respect to pB and the marginal demand of qB with respect to pA. Are the two goods competitive or complementary? a.

and

units of two related products, A and B, are given by

Page 1317

where and are in dollars. Find the marginal demand of with respect to two goods competitive or complementary?

and the marginal demand of

with respect to

. Are the

relative minimum at b. saddle point at c.

saddle point at d. relative minimum at e.

saddle point at ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED: 79. Test

11/16/2020 12:13 PM

for relative maximum and minimum.

a. A relative minimum occurs at (1,0,27) b. A relative maximum occurs at (0,0,27) c. A relative maximum occurs at (1,0,5) d. A relative minimum occurs at (0,0,5) e. A relative maximum occurs at (27,0,0) ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 80. Test

for relative maximum and minimum.

a. A relative minimum at (0,0,3) b. A relative maximum at (0,0,10) c. A relative maximum at (1,0,3) d. A relative minimum at (0,0,10) e. A relative maximum at (10,0,0) ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 81. Test for relative maximum and minimum.

relative maximum at b.

relative minimum at c.

relative maximum at

Page 1319

relative minimum at e.

relative maximum at ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 82. Test for relative maximum and minimum.

a. relative maximum at b. relative maximum at c. relative minimum at d. relative minimum at e.

relative minimum at ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 83. Test for relative maximum and minimum.

a. saddle point at b. saddle point at c. saddle point at d. relative minimum at e. relative minimum at ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

Page 1320

HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 84. Test for relative maximum and minimum.

a. relative maximum at b. saddle point at c. relative maximum at d. relative minimum at e. saddle point at ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 85. Test for relative maximum and minimum.

a. relative minimum at b. relative maximum at c. saddle point at d. relative maximum at e. relative minimum at ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 86. Test for relative maximum and minimum.

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a. relative maxima when x = 7, y = –6 and x = 7, y = 6; relative minima when x = –7, y = 6 and x = –

7, y = –6 b. relative maximum when x = 7, y = –6; relative minimum when x = –7, y = 6 c. saddle point when x = –7, y = –6; relative minima when x = 0, y = 0 and x = –7, y = –6 d. saddle points when x = 7, y = –6 and x = –7, y = 6; relative maximum when x = –7, y = –6; relative minimum when x = 7, y = 6 e. saddle points when x = 7, y = 6 and x = –7, y = –6; relative maxima when x = 7, y = –6 and x = – 7, y = 6 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 87. Test

for relative maximum and minimum.

a. The point

is a saddle point. A relative maximum occurs at

b. The point

is a saddle point.

A relative maximum occurs at

c. The point

is a saddle point. A relative maximum occurs at

d. The point

is a saddle point.

A relative minimum occurs at

e. The point

is a saddle point. A relative minimum occurs at

relative minimum at Copyright Cengage Learning. Powered by Cognero.

and saddle point at Page 1322

relative maximum at

and saddle point at

relative minimum at d.

relative maximum at e.

saddle points at

and

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 89. Use the points given in the table to write the equation of the line that is the best fit for the points. Round

numerical values in your answer to two decimal places. x y

3 11

4 23

5 32

6 54

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 90. Suppose that the profit from the sale of Kandy and Kreams is given by

dollars, where x is the number of pounds of Kandy and y is the number of pounds of Kreams. How many pounds of Kandy and Kreams must be sold to maximize profit? What is the maximum profit? Round your pounds answers to the nearest whole number. Round your max profit answer to the nearest cent. a. 150 pounds of Kandy, 120 pounds of Kreams, max profit of $578.00 b. 15 pounds of Kandy, 9 pounds of Kreams, max profit of $554.85 c. 30 pounds of Kandy, 18 pounds of Kreams, max profit of $995.40 Copyright Cengage Learning. Powered by Cognero.

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d. 75 pounds of Kandy, 60 pounds of Kreams, max profit of $1,665.00 e. 225 pounds of Kandy, 180 pounds of Kreams, max profit of $3,348.34 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 91. A new food is designed to add weight to mature beef cattle. The weight in pounds is given by

, where x is the number of units of the first ingredient and y is the number of units of the second ingredient. How many units of each ingredient will maximize the weight? a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 92. Suppose that

tons is the production function for a product with x units of one input and y units of a second input. Find the values of x and y that will maximize production. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

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93. Suppose that x units of one input and y units of a second input result in

units of a

product. What is the maximum production? a. 3,345 b. 4,269 c. 1,548 d. 1,423 e. 1,817 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 94. Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the demand

for brand 1 is thousand units and the demand for brand 2 is thousand units, where p1 and p2 prices in dollars. If the joint cost function is , in thousands of dollars, how many of each brand should be produced to maximize profit? a. 79 units of brand 1

80 units of brand 2 b. 2 units of brand 1 53 units of brand 2 c. 79 units of brand 1 53 units of brand 2 d. 25 units of brand 1 28 units of brand 2 e. 49 units of brand 1 57 units of brand 2 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

95. Find the values for each of the dimensions of an open-top box of length x, width y, and height

(in

inches) such that the box requires the least amount of material to make. a. length = 42 inches

width = 42 inches height = 21 inches Copyright Cengage Learning. Powered by Cognero.

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b. length = 21 inches

width = 42 inches height = 42 inches c. length = 42 inches width = 21 inches height = 42 inches d. length = 21 inches width = 21 inches height = 84 inches e. length = 84 inches width = 21 inches height = 21 inches ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 96. Find the values for each of the dimensions of a closed-top box of length x, width y, and height z (in inches) if

the volume equals 97,336 cubic inches and the box requires the least amount of material to make. a. x = 30 inches, y = 30 inches, z = 30 inches b. x = 46 inches, y = 46 inches, z = 46 inches c. x = 20 inches, y = 20 inches, z = 20 inches d. x = 24 inches, y = 24 inches, z = 24 inches e. x = 44 inches, y = 44 inches, z = 44 inches ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 97. A company manufactures two products, A and B. If x is the number of thousands of units of A and y is the

number of thousands of units of B, then the cost and revenue in thousands of dollars are

Find the number of each type of product that should be manufactured to maximize profit. a. 3,000 units of product A

24,000 units of product B b. 6,000 units of product A Copyright Cengage Learning. Powered by Cognero.

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12,000 units of product B c. 12,000 units of product A 6,000 units of product B d. 3,000 units of product A 6,000 units of product B e. 12,000 units of product A 24,000 units of product B ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 98. The following table shows the median age of automobiles and trucks on the road for a certain country. Use

linear regression to find the linear equation that is the best fit for the data, with x equal to the number of years past 1980. Year 1980 1985 1990 1995

Median Age 4.7 5.8 6.7 7.1

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 99. Suppose that the data in the table below shows the average earnings of year-round full-time workers by

gender for several different levels of educational attainment. Find and interpret the slope of the linear regression line. Round the slope to three decimal places. Average Annual Earnings Males Females Copyright Cengage Learning. Powered by Cognero.

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$21,659 $26,277 $35,725 $41,875 $44,404 $57,220 $71,530 $82,401

$18,118 $21,938 $30,616 $36,201 $38,558 $50,413 $63,270 $72,270

a. The slope is 0.910. The average annual earnings of females is decreasing at a rate of $0.910 per

dollar increase in the annual of males. b. The slope is 0.807. The average annual earnings of females is decreasing at a rate of $0.807 per dollar decrease in the average annual earnings of males. c. The slope is 0.759. The average annual earnings of females is decreasing at a rate of $0.759 per dollar decrease in the average annual earnings of males. d. The slope is 0.900. The average annual earnings of females is increasing at a rate of $0.900 per dollar increase in the average annual earnings of males. e. The slope is 0.749. The average annual earnings of females is increasing at a rate of $0.749 per dollar increase in the average annual earnings of males. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 100. The following table gives the actual or projected population in millions for a certain city for selected years

from 2000 to 2050. Use linear regression to find the linear equation that is the best fit for the data, with x equal to the number of years past 2000. Years 2000 2010 2020 2030 2040 2050

Population (billions) 1.5 1.9 2.2 2.8 3.1 3.7

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 101. Suppose that the following table shows the average hourly earnings for full-time production workers in

various industries for selected years. Find the linear regression equation for hourly earnings as a function of time (with representing 1970). Round numerical values in your answer to four decimal places. Year 1970 1975 1980 1985 1990 1992

Hourly Earnings 2.96 5.92 8.88 11.84 14.80 15.98

Year 1994 1996 1998 2000 2002 2004 2006

Hourly Earnings 17.16 18.35 19.53 20.72 21.90 23.08 24.27

(where is the number of years after 1970 and is the average hourly wage)

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 102. Suppose that the following table shows the average hourly earnings for full-time production workers in

various industries for selected years. The linear regression equation for hourly earnings as a function of time is given by (where x is the number of years after 1970 and y is the average hourly wage). What does this model predict for the average hourly earnings in 2020? Round your answer to two decimal places. Year

Earnings

Year

1970 1975

3.53 6.64

1994 1996

Hourly Earnings 18.46 19.71 Page 1329

1980 1985 1990 1992

9.75 12.86 15.97 17.22

1998 2000 2002 2004 2006

20.95 22.19 23.44 24.68 25.93

a. $34.63 b. $265.03 c. $35.69 d. $263.97 e. $263.50 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 103. Find x and y such that

subject to the condition

attains a minimum value.

subject to the condition

a. b. c.

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subject to the constraint

attains a minimum value.

subject to

attains a maximum value.

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107. Find the maximum value of the function

subject to

a. 27,648 b. 1,152 c. 13,824 d. 7,457 e. 6,912 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 108. Find the maximum value of the function

subject to the condition

a. 3,180 b. 2,544 c. 1,908 d. 1,272 e. 636 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 109. Find the maximum value of

subject to

. Round your answer to the

nearest integer. a. 201 b. 116 c. 142 d. 127 e. 403 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/16/2020 12:13 PM 11/16/2020 12:13 PM

110. Find the maximum value of

subject to

. Round your answer to the

nearest integer. a. 741 b. 313 c. 478 d. 889 e. 897 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 111. Find the minimum value of

subject to the constraint

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b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 113. Find the maximum value of

subject to the constraint

, and

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 114. Suppose that the utility function for two commodities is given by

and that the budget constraint is

. What values of x and y will maximize utility? a. b. c. Copyright Cengage Learning. Powered by Cognero.

Page 1334

d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 115. Suppose that the utility function for two products is given by

, and the budget constraint is

. Find the values of x and y that maximize utility. a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 116. Suppose that the utility function for two commodities is given by

, and the budget constraint is

. Find the values of and that maximize utility. a. The maximum is at

b. The maximum is at

c. The maximum is at

d. The maximum is at

e. The maximum is at

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117. A company has the Cobb-Douglas production function

, where x is the number of units of labor, y is the number of units of capital, and z is the units of production. Suppose labor costs $150 per unit, capital costs $250 per unit, and the total cost of labor and capital is limited to $375,000. Find the number of units of labor and the number of units of capital that maximize production. a. 2,500 units of labor; 1,500 units of capital b. 1,250 units of labor; 1,500 units of capital c. 2,500 units of labor; 750 units of capital d. 1,250 units of labor; 750 units of capital e. 12,500 units of labor; 7,500 units of capital ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 118. A firm has two plants, X and Y. Suppose that the cost of producing x units at plant X is

dollars

and the cost of producing y units of the same product at plant Y is given by dollars. If the firm has an order for 7,000 units, how many should it produce at each plant to fill this order and minimize the cost of production? a. 5,500 at plant X; 1,500 at plant Y b. 6,500 at plant X; 500 at plant Y c. 5,000 at plant X; 2,000 at plant Y d. 7,000 at plant X; 0 at plant Y e. 6,000 at plant X; 1,000 at plant Y ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 119. Suppose that the cost of producing x units at plant X is

dollars and that the cost of producing y units of the same product at plant Y is dollars. If the firm that owns the plants has an order for 181 units, how many should it produce at each plant to fill this order and minimize its cost of production? a. The production of 71 units at plant X and 110 units at plant Y minimizes the production costs. b. The production of 110 units at plant X and 71 units at plant Y minimizes the production costs. c. The production of 61 units at plant X and 120 units at plant Y minimizes the production costs. Copyright Cengage Learning. Powered by Cognero.

Page 1336

d. The production of 86 units at plant X and 95 units at plant Y minimizes the production costs. e. The production of 120 units at plant X and 61 units at plant Y minimizes the production costs. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 120. On the basis of past experience, a company has determined that its sales revenue (in dollars) is related to its

advertising according to the formula , where x is the amount spent on radio advertising and y is the amount spent on television advertising. If the company plans to spend $27,000 on these two means of advertising, how much should it spend on each method to maximize its sales revenue? a. $7,089.25 on radio; $19,910.75 on television b. $9,114.75 on radio; $17,885.25 on television c. $10,127.50 on radio; $16,872.50 on television d. $12,153.00 on radio; $14,847.00 on television e. $13,165.75 on radio; $13,834.25 on television ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM 121. The material for the base of an open box costs 1.5 times as much per unit area as the material for

constructing the sides. Use Lagrange multipliers to find the dimensions of the box of largest volume that can be made for a fixed cost of 200.00. Round your answers to two decimal places. (Maximize subject to .) a. Bottom dimensions:

; height:

b. Bottom dimensions:

; height:

c. Bottom dimensions:

; height:

d. Bottom dimensions:

; height:

e. Bottom dimensions:

; height:

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/16/2020 12:13 PM

122. Find the dimensions (in centimeters) of the box with square base, open top, and volume 364,500 cubic

centimeters that requires the least materials to make. a. base = 90 cm; height = 45 cm b. c.

base =

cm; height =

base =

cm; height = 90 cm

d. base = 45 cm; height = 180 cm e. base = 3,645 cm; height = 100 cm ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/16/2020 12:13 PM DATE MODIFIED: 11/16/2020 12:13 PM

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