You invest $3,200 in an account that pays an interest rate of 8.5%, compounded continuously.

Calculate the balance of your account after 6 years. Round your answer to the nearest hundredth.

A is the amount in the future

P is the present amount (3200)

i the interest rate as a decimal (0.085 in this question)

n the number of periods interest is paid (6)

So A = 3200 (1+0.085) ^6

A = 3200 * (1.085^6)

A = 3200 * 1.631467

So A = 5220.70 (to nearest cent)