Chapter 6 Test

Does  $f\left(x\right)=\left(0.75\right)^x$   represent exponential growth or decay?

• Growth

• Decay

Does  $f\left(x\right)=5e^x$   represent exponential growth or decay?

• Growth

• Decay

Simplify.  $\frac{16e^8}{2e}$  

•  $\frac{8}{e^7}$  

•  $\frac{e^7}{8}$  

•  $8e^7$  

•  $\frac{1}{8e^7}$  

Simplify.  $\left(4e^{5x}\right)^2$  

•  $16e^{10x}$  

•  $4e^{10x}$   

•  $4e^{7x}$  

•  $16e^{25x}$  

Simplify.  $e^{\ln3}$   

Simplify.  $\log_381^{-2x}$  

You purchased a baseball card for $6 when you were 8 years old. The value of the card increased by 6% each year. Which represents the exponential model t years after you purchased the card.

• $y=6\left(7\right)^t$

• $y=6\left(1.6\right)^t$

• $y=6\left(0.06\right)^t$

• $y=6\left(1.06\right)^t$

You purchased a baseball card for $6 when you were 8 years old. The value of the card increased by 6% each year. Find the card's worth when you are 30 years old.

• $6.40

• $21.62

• $7.90

• $185,691.00 

You have $5500 to put into a savings account for college. One option for an account is that it pays 2.5% interest compounded quarterly. How much will you have in your account after 6 years? (Write the number value only, no dollar sign or comma. Round to two decimal places)

You have $5500 to put into a savings account for college. One option for an account is that it pays 2.5% interest compounded continuously. How much will you have in your account after 6 years? (Write the number value only, no dollar sign or comma. Round to two decimal places)