Problema Solution

You deposit $5000 in an account earning 8% interest compounded continuously. How much will you have in the account in 10 years?

Answer provided by our tutors

P = $5,000 principal amount (initial investment)


r = 0.08 annual interest rate (as a decimal)


t = 10 years number of years


e = 2.718281 is Euler's number


A = amount after time t


A = P*(e^(rt))


A = 5000(2.718281^(0.08*10))


A = $11,127.70


there will be $11,127.70 on your account after 10 years.