Use the formula for continuous compounding to compute the balance in the account after 20 years. Also, find the APY for the account. $4,000 deposit in an account with an APR of 8%.The balance in the account after 20 year is approximately and the APR  (Round to the nearest cent as needed.)

Respuesta :

Given:

[tex]\begin{gathered} P=4000 \\ r=8\% \\ t=20 \end{gathered}[/tex]

Required:

To find the balance amount after 20 years.

Explanation:

The formula is

[tex]\begin{gathered} A=Pe^{rt} \\ \\ =4000e^{0.08\times20} \\ \\ =4000(2.71828)^{1.6} \\ \\ =19812.13 \end{gathered}[/tex]

The total amount accrued, principal plus interest, with compound interest on a principal of $4,000.00 at a rate of 8% per year compounded continuously over 20 years is $19,812.13.

Final Answer:

The balance amount after 20 year is $19,812.13