Question 1

A car's value depreciates by 15\% each year. If the car is currently worth $20,000, what will its value be after 3 years? (Round to the nearest dollar.)

Accepted Answer

$$\12$$,337$

Question 2

Given the function $$f(x) = 3x^2$ - 2x + 5$$, what is $$f(-2)$$?

Accepted Answer

$$17$$

Question 3

A savings account offers an annual interest rate of 4\% compounded quarterly. If you deposit $$\2$$,000$, how much will you have after 5 years? (Round to the nearest cent.)

Accepted Answer

$$\2$$,433.40$

Question 4

Which of the following best describes the domain of the function $$f(x) = \sqrt{x-3}$$?

Accepted Answer

$$x \geq 3$$

Question 5

A researcher collects the following data set: $$\{4, 7, 7, 10, 12\}. $$What is the median?

Accepted Answer

$$7$$

Question 6

If $$A = \{1,2,3\}$$ and $$B = \{a,b\}$$, how many elements are in the sample space for the experiment of choosing one element from $$A$$ and one from $$B$$?

Accepted Answer

$$6$$

Question 7

A company’s revenue $$R (in $$thousands of dollars) is modeled by $$R(x) = 50x - 0.5x^2$, where x$ is the number of units sold (in thousands). What is the maximum revenue, and for how many units sold does it occur?

Accepted Answer

Maximum revenue is $$1,250 at$$ $$x = 50$$

Question 8

Which of the following is the equation of the line passing through the points $$(2, 5)$$ and $$(6, 13)$$?

Accepted Answer

$$y = 2x + 1$$

Question 9

Suppose the probability of rain on any given day in April is $$0.3. $$What is the probability that it does not rain on a randomly chosen day in April?

Accepted Answer

$$0.7$$

Question 10

A bacteria culture triples every 4 hours. If the initial population is 200, what will the population be after 12 hours?

Accepted Answer

$$5,400$$

Question 11

Given $$f(x) = 2x + 3$$ and $$g(x) = x^2$, what is (f$$ \circ g)(2)$$?

Accepted Answer

$$11$$

Question 12

A student scores 80, 85, 90, and 95 on four exams. What is the mean score?

Accepted Answer

$$87.5$$

Question 13

If $$P(A) = 0.4$$ and $$P(B) = 0.5$$ and $$A$$ and $$B$$ are independent, what is $$P(A \cap B)$$?

Accepted Answer

$$0.2$$

Question 14

Which of the following is the correct formula for the future value $$A of an $$investment of principal $$P at an $$annual interest rate $$r$$ compounded $$n$$ times per year for $$t$$ years?

Accepted Answer

$$A = P \left(1 + \frac{r}{n}\$$right)^{nt}$$

Question 15

A function $$f is $$defined as $$f(x) = \frac{1}{x-2}. $$What is the domain of $$f$$?

Accepted Answer

$$x 
eq 2$$

Question 16

A die is rolled twice. What is the probability that at least one roll shows a 6?

Accepted Answer

$$\frac{11}{36}$$

Question 17

Which of the following is the correct interpretation of the slope in the linear equation $$y = 0.8x + 2 in $$the context of a business’s profit (in thousands of dollars) as a function of units sold (in hundreds)?

Accepted Answer

For each additional 100 units sold, profit increases by $$800$$

Question 18

If $$f(x) = 5x - 7$$, what is the $$x-$$intercept of the function?

Accepted Answer

$$(1.4, 0)$$

Question 19

A population of fish in a lake is modeled by $$P(t) = 1200e$$^{0.05t}$$, where t$ is in years. What is the population after 10 years? (Round to the nearest whole number.)

Accepted Answer

$$1,977$$

Question 20

Which of the following is NOT a function?

Accepted Answer

A relation where $$x = 2$$ maps to both $$y = 3$$ and $$y = 5$$

Math 119 Final Exam Concept List: College Algebra Study Guide

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