Quiz about EOC HW #2

Question 1

Charles invests $425 in a savings account that pays interest at an annual rate of 4 percent,

compounded continuously. Approximately how much time will it take for his investment to

double? Use the formula, where A is the amount in the savings account, P is the

principal amount invested, r is the interest rate, and t is time in years.

Accepted Answer

17 years

Answer

8 years

Answer

12 years

Answer

25 years

Question 2

Julie created the graph shown.

Which equation best represents Julie's function?

Accepted Answer

$$y=2^x+3$$

Answer

$$y=2^x+4$$

Answer

$$y=3^x+3$$

Answer

$$y=3^x-2$$

Question 3

What is the first incorrect step in solving the following exponential equation?

Accepted Answer

Step 1

Answer

Step 2

Answer

Step 3

Answer

Step 4

Question 4

The graph of $$f\left(x\right)=2\left(5\right)^x$$ will be translated 2 units to the right resulting

in the graph of g(x). Which function represents g(x)?

Accepted Answer

$$g\left(x\right)=2\left(5\right)^{\left(x-2\right)}$$

Answer

$$g\left(x\right)=2\left(5\right)^{\left(x+2\right)}$$

Answer

$$g\left(x\right)=2\left(5\right)^x+2$$

Answer

$$g\left(x\right)=2\left(5\right)^x-2$$

Question 5

What is the y-intercept of the graph of $$y=100\left(2\right)^x-5$$ ?

Accepted Answer

(0,95)

Answer

(0,-5)

Answer

(0,45)

Answer

(0,195)

Question 6

Which expression represents the inverse of $$f\left(x\right)=8^x+13$$ ?

Accepted Answer

$$\log_8\left(x-13\right)$$

Answer

$$\frac{x}{8}-13$$

Answer

$$\frac{1}{8^x+13}$$

Answer

$$\log_{21}\left(x\right)$$

Question 7

What is the approximate solution to the equation $$3^{x-1}=4^{2x+5}$$ ?

Accepted Answer

-4.797

Answer

3.875

Answer

1.262

Answer

-2.354

Question 8

Solve: $$7^{r-6}+5=24$$

Accepted Answer

7.5131

Answer

7.5854

Answer

8.9444

Answer

7.2788

Question 9

Solve: $$\frac{1}{16}=64^{4x-3}$$

Accepted Answer

$$\frac{7}{12}$$

Answer

$$\frac{1}{12}$$

Answer

$$\frac{1}{4}$$

Answer

$$\frac{11}{12}$$

EOC HW #2

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