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

$$19$$

Question 3

A savings account offers an annual interest rate of $$4\%$$ compounded quarterly. If you deposit $$\2$$,000$$, how much will you have after 5 years? (Use A = P(1$$ + \frac{r}{n}$$)^{nt}$)

Accepted Answer

$$\2$$,433$

Question 4

Which of the following is the correct formula for the slope $$m of a $$line passing through points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$m = \frac{y_2$ - y_1$}{x_2$ - x_1$}$$

Question 5

Suppose the probability of rain on Saturday is $$0.3$$ and on Sunday is $$0.5. If $$the events are independent, what is the probability it rains on both days?

Accepted Answer

$$0.15$$

Question 6

Given the function $$f(x) = 2x + 7$$, what is the $$y-$$intercept?

Accepted Answer

$$7$$

Question 7

A population of bacteria triples every 4 hours. If there are initially 200 bacteria, how many will there be after 12 hours?

Accepted Answer

$$5,400$$

Question 8

Which of the following is the domain of the function $$f(x) = \frac{1}{x-3}$$?

Accepted Answer

$$x 
eq 3$$

Question 9

A die is rolled twice. What is the probability of getting a sum of 7?

Accepted Answer

$$\frac{1}{6}$$

Question 10

If $$f(x) = 5x - 4$$ and $$g(x) = x^2$ + 1$$, what is $$(f \circ g)(2)$$?

Accepted Answer

Question 11

A loan of $$\10$$,000$$ is to be paid back in 5 years with simple interest at 6$$\%$ per year. What is the total amount to be paid back?

Accepted Answer

$$\13$$,000$

Question 12

Which of the following is an exponential decay function?

Accepted Answer

$$y = 100(0.8)^x$$

Question 13

If $$A = P(1 + rt)$$, what type of interest does this formula represent?

Accepted Answer

Simple interest

Question 14

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

Accepted Answer

$$x \geq 2$$

Question 15

A company’s revenue $$R (in $$dollars) is given by $$R(x) = 50x - 0.5x^2$, where x$ is the number of units sold. What is the maximum revenue?

Accepted Answer

$$1,250$$

Question 16

If $$P(A) = 0.4$$ and $$P(B) = 0.5$$ and $$A$$ and $$B$$ are mutually exclusive, what is $$P(A \cup B)$$?

Accepted Answer

$$0.9$$

Question 17

Which of the following is the correct formula for the compound interest accumulated amount $$A$$ after $$t$$ years at rate $$r$$ compounded $$n$$ times per year?

Accepted Answer

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

Question 18

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

Accepted Answer

$$87.5$$

Question 19

If $$f(x) = 2x + 1$$ and $$g(x) = x - 3$$, what is $$f(g(4))$$?

Accepted Answer

$$5$$

Question 20

A bag contains 5 red, 3 blue, and 2 green marbles. If one marble is drawn at random, what is the probability it is not blue?

Accepted Answer

$$0.7$$

Math 119 Final Exam Concept List: College Algebra Study Guide

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