An investment of $12,000 earns interest at an annual rate of 8% compounded continuously.

Question

Question 1: Find the rate of change of the amount in the account after two years.
Question 2:Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000

Answer 1

A = 12000 e^0.08x
dA/dt = 960 e^.08x

Now you can answer the questions. Don't forget your Algebra II now that you're taking calculus ...