Course Introduction
Business Mathematics
Exam Questions
Business Mathematics is a foundational course that equips students with essential mathematical tools and techniques used in the business environment. Topics include arithmetic operations, algebra, linear equations, financial mathematics, percentages, ratios, interest calculations, annuities, depreciation, and basic statistics. Through practical problem solving and real-world applications, students develop analytical and quantitative skills crucial for effective decision-making in finance, accounting, marketing, and management. This course prepares learners to confidently approach various business scenarios with a strong mathematical perspective.
Recommended Textbook
Calculus An Applied Approach 10th Edition by Ron Larson
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11 Chapters
1279 Verified Questions
1279 Flashcards
Source URL: https://quizplus.com/study-set/3680
Page 2
Chapter 1: Functions, graphs, and Limits
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427 Verified Questions
427 Flashcards
Source URL: https://quizplus.com/quiz/73289
Sample Questions
Q1) What is the resulting balance if $4,500 is invested for 5 years at an annual rate of 7% compounded monthly?
A) $4,632.79
B) $4,687.00
C) $6,075.00
D) $6,379.31
E) $8,258.80
Answer: D
Q2) What is the annual percentage yield (or effective annual rate)for a nominal rate of 8.7% compounded quarterly? Round your answer to two decimal places.
A) 8.70%
B) 9.06%
C) 9.09%
D) 8.99%
E) 8.89%
Answer: D
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3
Chapter 2: Differentiation
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84 Verified Questions
84 Flashcards
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Sample Questions
Q1) The lengths of the edges of a cube are increasing at a rate of 4 ft/min.At what rate is the surface area changing when the edges are 21 ft long?
A) 96 ft<sup>2</sup>/min
B) 1,008 ft<sup>2</sup>/min
C) 504 ft<sup>2</sup>/min
D) 2,016 ft<sup>2</sup>/min
E) 84 ft<sup>2</sup>/min
Answer: B
Q2) A baseball diamond has the shape of a square with sides 90 feet long.A player running from second base to third base at a speed of 27 feet per second is 60 feet from third base.At what rate is the player's distance s from home plate changing? Round your answer to one decimal place.
A) -24.1 feet/second
B) -0.2 feet/second
C) -0.6 feet/second
D) -15 feet/second
E) -0.9 feet/second
Answer: D
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Chapter 3: Applications of the Derivative
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122 Verified Questions
122 Flashcards
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Sample Questions
Q1) A travel agency will plan a tour for groups of size 53 or larger.If the group contains exactly 53 people,the price is $800 per person.However,each person's price is reduced by $10 for each additional person above the 53.If the travel agency incurs a price of $150 per person for the tour,what size group will give the agency the maximum profit?
A) 6
B) 91
C) 59
D) 70
E) 32
Answer: C
Q2) A rectangular page is to contain 144 square inches of print.The margins on each side are 1 inch.Find the dimensions of the page such that the least amount of paper is used.
A) 14, 14
B) 12, 12
C) 10, 10
D) 13, 13
E) 11,11
Answer: A
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Page 5
Chapter 4: Exponential and Logarithmic Functions
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122 Verified Questions
122 Flashcards
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Sample Questions
Q1) What is the annual percentage yield (or effective annual rate)for a nominal rate of 8.7% compounded quarterly? Round your answer to two decimal places.
A) 8.70%
B) 9.06%
C) 9.09%
D) 8.99%
E) 8.89%
Q2) The number of a certain type of bacteria increases continuously at a rate proportional to the number present.There are 100 present initially,and 200 present 6 hours later.How many will there be 20 hours after the initial time? Round your answer to the nearest integer.
A) 10 bacteria
B) 903 bacteria
C) 1,008 bacteria
D) 23 bacteria
E) 18 bacteria
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6
Chapter 5: Integration and Its Applications
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88 Verified Questions
88 Flashcards
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Sample Questions
Q1) A ball is thrown vertically upwards from a height of 6 ft with an initial velocity of 40 ft per second.
How high will the ball go?
A) 29.03 ft
B) 29.34 ft
C) 30.89 ft
D) 25.02 ft
E) 32.12 ft
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Chapter 6: Techniques of Integration
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46 Verified Questions
46 Flashcards
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Sample Questions
Q1) Suppose the mean height of American women between the ages of 30 and 39 is 64.5 inches,and the standard deviation is 2.7 inches.Use a symbolic integration utility to approximate the probability that a 30-to 39-year-old woman chosen at random is between 5 feet 4 inches and 6 feet tall.
A) 0.5734
B) 0.5707
C) 0.8547
D) 0.9522
E) 0.4257
Q2) A business is expected to yield a continuous flow of profit at the rate of $200,000 per year.If money will earn interest at the nominal rate of 2% per year compounded continuously,what is the present value of the business forever?
A) $10,100,000
B) $1,000,000
C) $10,000,000
D) $10,010,000
E) $1,100,000
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Chapter 7: Functions of Several Variables
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113 Verified Questions
113 Flashcards
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Sample Questions
Q1) Determine whether the statement is true or false.If it is false,explain why or give an example that shows it is false.
A linear regression model with a positive correlation will have a slope that is greater than 0.
A)True
B)False
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Chapter 8: Trigonometric Functions
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60 Verified Questions
60 Flashcards
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Sample Questions
Q1) A compact disc can have an angular speed up to 3,154 radians per minute.At this angular speed,how many revolutions per minute would the CD make? Round your answer to the nearest integer.
A) 1,004
B) 1,577
C) 402
D) 502
E) 251
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Chapter 9: Probability and Calculus
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36 Verified Questions
36 Flashcards
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Sample Questions
Q1) A coin is tossed three times.Describe the event A that at least two tails occur.
A) {TTT, THH, THT, HHT}
B) {HHH, TTH, THT, HTT}
C) {TTT, TTH, THT, HTT}
D) {TTTT, TTHT, THTT, HTTT}
E) {TT,HT,TH}
Q2) Three people are asked their opinions on a political issue.They can answer Opposed (O)or Undecided (U).Find the sample space S.
A) {OOO, OOU, OUO, UOO, UUU, UUO, UOU}
B) {OOO, OOU, UOO, UUU, UUO, UOU, OUU}
C) {OOO, OOU, OUO, UOO, UUO, UOU, OUU}
D) {OOO, OUO, UOO, UUO, UOU, OUU}
E) {OOO,OOU,OUO,UOO,UUU,UUO,UOU,OUU}
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11
Chapter 10: Series and Taylor Polynomials
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104 Verified Questions
104 Flashcards
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Sample Questions
Q1) Find the next three terms of the geometric sequence 8,40,200,....
A) 232, 264, 296
B) 1,000, 5,000, 25,000
C) 360, 520, 680
D) 205, 210, 215
E) 200,1,000,5,000
Q2) You accept a job that pays a salary of $60,000 the first year.During the next 49 years,you will receive a 6% raise each year.What would be your total compensation over the 50-year period? Round your answer to the nearest integer.
A) $17,420,154
B) $1,000,000
C) $56,400
D) $360,000
E) $3,600
Q3) What are the next three terms in the arithmetic sequence -2,-6,-10,....
A) -14, -18, -22
B) 2, 6, 10
C) 56, -224, 896
D) -8, -10, -12
E) -10,-14,-18
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Chapter 11: Differential Equations
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77 Verified Questions
77 Flashcards
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Sample Questions
Q1) A population of eight beavers has been introduced into a new wetlands area.Biologists estimate that the maximum population the wetlands can sustain is 60 beavers.After 3 years,the population is 15 beavers.The population follows a Gompertz growth model.How many beavers will there be in the wetlands after 10 years?
A) 34 beavers
B) 32 beavers
C) 30 beavers
D) 31 beavers
E) 39 beavers
Q2) The rate of change of the population of a city is proportional to the population P at any time (in years).In 2000,the population was 200,000,and the constant of proportionality was 0.015.Estimate the population of the city in the year 2020.
A) 260,972 people
B) 268,972 people
C) 263,972 people
D) 266,972 people
E) 269,972 people
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13