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$$, how much will you have after 5 years? (Use A = P$$ \left(1 + \frac{r}{n}\$$right)^{nt}$)

Accepted Answer

$$\2$$,433$

Question 4

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

Accepted Answer

$$x 
eq 3$$

Question 5

A researcher collects the following data set: $$\{4, 8, 6, 10, 12\}. $$What is the mean of the data?

Accepted Answer

$$8$$

Question 6

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

Accepted Answer

$$11$$

Question 7

A biologist models the population of a bacteria culture with $$P(t) = 500e$$^{0.3t}$$, where t$ is in hours. What is the population after 4 hours? (Round to the nearest whole number.)

Accepted Answer

$$1,660$$

Question 8

Which of the following is the equation of a line passing through the points $$(2, 5)$$ and $$(4, 9)$$?

Accepted Answer

$$y = 2x + 1$$

Question 9

A company wants to predict its future revenue using the formula $$R = 50,000(1.06)^t$$, where $$t is $$the number of years. What will the revenue be after 3 years? (Round to the nearest dollar.)

Accepted Answer

$$59,755$$

Question 10

If the probability of rain on a given day is $$0.3$$, what is the probability that it does NOT rain?

Accepted Answer

$$0.7$$

Question 11

Given the function $$f(x) = \sqrt{x-1}$$, what is the domain of $$f$$?

Accepted Answer

$$x \geq 1$$

Question 12

A student rolls two six-sided dice. What is the probability that the sum is 7?

Accepted Answer

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

Question 13

Which of the following is the correct formula for the compound interest earned on a principal $$P at an $$annual rate $$r$$, compounded $$n$$ times per year for $$t$$ years?

Accepted Answer

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

Question 14

If $$f(x) = 4x - 7$$, what is the $$y-$$intercept of the function?

Accepted Answer

$$-7$$

Question 15

A medication's effectiveness decreases by $$12\%$$ each hour. If the initial effectiveness is $$100$$ units, what is its effectiveness after 5 hours? (Use $$A = P(1 - r)^t)$$

Accepted Answer

$$56.1$$

Question 16

Which of the following is NOT a function?

Accepted Answer

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

Question 17

A student invests $$\1$$,500$$ in an account that earns 5$$\%$$ annual interest, compounded continuously. What is the value after 10 years? (Use A$$ = $$Pe^{rt}$)

Accepted Answer

$$2,473$$

Question 18

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

Accepted Answer

$$0.2$$

Question 19

Which of the following best describes the range of the function $$f(x) = x^2$ + 2$$?

Accepted Answer

$$y \geq 2$$

Question 20

A researcher flips a coin 5 times. How many possible outcomes are there?

Accepted Answer

$$32$$

Math 119 Final Exam Concept List: College Algebra Study Guide

Guida di studio - Domande di pratica

Study guide - Flashcard