Question

It you invest S500 at an annual interest rate of 10% compounded continuously, calculate the final

Answer 1

Answer:

Step-by-step explanation:

The formula for continuous compounding is

$A(t)=Pe^{rt}$ where A(t) is the amount after all the compounding is done, P is the initial investment, r is the rate as a decimal, and t is the time in years.  Filling in our info:

$A(t)=500e^{(.1)(5)}$

First raise e to the product of that power to get

$A(t)=500(1.64872171)$

Multiply those numbers together to get A(t) = $824.36