Base of E and Compounding interest

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

• $827.52
• $831.10
• $839.45
• $846.80

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.

• $800.26
• $6,701.28
• $10,138.07
• $1,923.23

Determine the balance in the account if you deposited $4,000 at an interest rate of 3.4% compounded monthly for three years.

• $4422.03
• $4427.62
• $4428.90
• $4429.51

Determine the balance in the account if you deposited $4,000 at an interest rate of 3.4% compounded quarterly for three years.

• $4422.03
• $4427.62
• $4428.90
• $4429.51

                 Simply the expression.                   $e^{-4}\cdot e^6$  

•  $e^{-2}$  

•  $\frac{1}{e^2}$  

•  $e^2$  

•  $e^{24}$  

•  $e^{-24}$  

Tags

CCSS.8.EE.A.1

Simplify the expression.  $\frac{11e^9}{22e^{10}}$  

•  $\frac{2}{e}$  

•  $\frac{1}{2e}$  

•  $\frac{e^{-1}}{2}$  

•  $2e$  

Tags

CCSS.HSA.APR.A.1

Simplify:  $\left(4e^{-2x}\right)^3$  

•  $\frac{4}{e^{6x}}$  

•  $\frac{1}{64e^{6x}}$  

•  $64e^{6x}$  

•  $\frac{64}{e^{6x}}$  

Find the mistake in the problem.

• They should have subtracted the exponents.

• They should have added the exponents.

• They should have multiplied the exponents.

• They should have divided the exponents.

Correct the error & choose the simplified answer.

• $e^{-10x}$

• $e^{7x}$

• $e^{3x}$

• $e^{-\frac{5}{2}x}$

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded monthly. What will be his balance after 15 years?

• $827.52
• $839.17
• $839.45
• $846.80