Question

You invest $3000 at an annual interest rate of 3.5% compounded. Continuously. How much will you have in the account after 5 years? Round to the nearest cents

Answer 1

After 5 years, with a principal of $3000 and an annual interest rate of 3.5% compounded continuously, the account will have approximately $3606.78.

To calculate the amount in the account after 5 years with continuous compounding, you can use the formula for compound interest: A = Pe^(rt), where:

• Plugging the values into the formula gives:

A = 3000 * e^(0.035*5) = 3000 * e^0.175 = 3000 * 2.71828^0.175 ≈ $3000 * 1.20226 ≈ $3606.78

After 5 years, the account will have approximately $3606.78 when the interest is compounded continuously.