If $1000 is invested for n years at 12% compounded continuously, the future value of the investment

Question:

If $1000 is invested for n years at 12% compounded continuously, the of the investment is given by
S = 1000e0.12n
(a) Find the function that gives the rate of change of this investment.
(b) Compare the rate at which the is growing after 1 year and after 10 years.
Future Value
Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value (FV) is important to investors and financial planners as they use it to estimate how much an investment made today will be worth...