Continuous Compound Interest

An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously.

Answer the following questions about this investment.

1.Find the instantaneous rate of change in the amount in the account after 4 years (in dollars per year). Round to the nearest cent.

2. Find the instantaneous rate of change in the amount in the account at the time the amount is equal to $14,165. Round to the nearest cent.