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Finite Mathematics provides students with a comprehensive introduction to mathematical concepts and techniques used in business, social sciences, and life sciences. Topics typically include linear equations and inequalities, matrices, linear programming, sets, probability, counting principles, and an introduction to statistics. Through real-world applications and problem-solving, students develop quantitative reasoning skills essential for analyzing and interpreting data, making decisions, and understanding mathematical models in various fields.
Recommended Textbook College Algebra with Applications for Business and Life Sciences 2nd Edition by Ron Larson
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8 Chapters
787 Verified Questions
787 Flashcards
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119 Verified Questions
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Sample Questions
Q1) Factor the sum or difference of cubes. r<sup>3</sup> - 125
A) (r - 5)(r<sup>2</sup> + 5r + 25)
B) (r + 5)(r<sup>2</sup> - 5r + 25)
C) (r - 5)(r<sup>2</sup> - 5r + 25)
D) (r + 5)<sup>3</sup>
E) (r - 5)<sup>3</sup>
Answer: A
Q2) Factor the difference of two squares. 25t<sup>2</sup> - 4
A) (25t + 2)(25t - 2)
B) (25t + 4)(25t - 4)
C) (5t - 2)<sup>2</sup>
D) (5t + 2)<sup>2</sup>
E) (5t + 2)(5t - 2)
Answer: E
Q3) Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them. 2, -3
A) 2 < -3
B) 2 > -3
Answer: B
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Sample Questions
Q1) An overnight delivery service will not accept any package whose combined length and girth (perimeter of a cross section) exceeds 88 inches.Suppose that you are sending a rectangular package that has square cross sections.If the length of the package is 40 inches, what is the maximum width of the sides of its square cross sections?
A) 7.2 inches
B) 14.4 inches
C) 12.0 inches
D) 19.2 inches
E) 4.8 inches
Answer: C
Q2) A college charters a bus for $1848 to take a group of students to the Fiesta Bowl.When two more students join the trip, the cost per student decreases by $2.00.How many students were in the original group?
A) 42
B) 28
C) 34
D) 41
E) 49
Answer: A
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Sample Questions
Q1) Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values. f (x) = x<sup>3</sup> + 2x<sup>2</sup> + x - 5
A) relative maximum: (-1.00, -5.00)
Relative minimum: (-0.33, -5.15)
B) relative maximum: (-0.33, -5.15)
Relative minimum: (-1.00, -5.00)
C) relative maximum: (-5.00, -1.00)
Relative minimum: (-5.15, -0.33)
D) relative maximum: (-5.15, -0.33)
Relative minimum: (-5.00, -1.00)
E) relative maximum: (-5.15, -93.58)
Relative minimum: (-5.00, -85.00)
Answer: A
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Sample Questions
Q1) A farmer wants to enlarge an existing rectangular pig pen such that the total area of the new pen is twice as large as the original pen.The current pen's dimensions are 25' × 27'.The farmer wants to add 13 feet more to the long side than to the the short side.Find the dimensions of the new pen.
A) 5 feet × 18 feet
B) 30 feet × 45 feet
C) 30 feet × 32 feet
D) 30 feet × 43 feet
E) 30 feet × 40 feet
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Sample Questions
Q1) Estimate the percentage of radioactive material that remains in a sample after 5 years if the half-life of the material is 299 days.Round to the nearest hundredth of a percent.
A) 0.37%
B) 15.92%
C) 1.45%
D) 8.19%
E) 0.85%
Q2) An investment is expected to pay 11% per year compounded continuously.If you want the value of the investment to be $900,000 after 25 years, how much should you invest initially? Round to the nearest dollar.
A) $14,384
B) $28,768
C) $57,535
D) $115,070
E) $368,953
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Sample Questions
Q1) The sales of various types of lawn and garden items vary according to the season.At a certain home improvement store, the monthly sales H of garden hoses (hoses sold per month) declines from July to October whereas the monthly sales of lawn rakes R (rakes sold per month) increase during this same interval.The sales of these two items during the calendar months July-October are modeled by the equations: H(t) = 64 - 6t R(t) = 17t - 97, Where t is the month (t = 7 corresponds to July).In which month does the number of rakes sold equal the number of hoses sold?
A) August
B) September
C) October
D) November
E) July
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Q1) A city zoo borrowed $2,000,000 at simple annual interest to construct a breeding facility.Some of the money was borrowed at 9%, some at 11%, and some at 14%.Use a system of equations to determine how much was borrowed at 9% if the total annual interest was $216,000 and the amount borrowed at 9% was twice the amount borrowed at 14%.Solve the system using matrices.
A) $400,000 was borrowed at 9%
B) $800,000 was borrowed at 9%
C) $300,000 was borrowed at 9%
D) $1,600,000 was borrowed at 9%
E) $1,700,000 was borrowed at 9%
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Sample Questions
Q1) A computer manufacturer offers a computer system with five different disk drives, two different monitors, and three different keyboards.How many different computer systems could a consumer purchase from this manufacturer?
A) 24
B) 40
C) 30
D) 18
E) 75
Q2) There are 13 patients in Dr.Ziglar's waiting room.Dr.Ziglar can see 6 patients before lunch.In how many different orders can Dr.Ziglar see 6 of the patients before lunch?
A) 1716
B) 8,648,640
C) 78
D) 6
E) 1,235,520
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