One of the main applications of integration is the concept of growth and decay in business and economics. If P 0 is invested for t years at interest rate k, compounded continuously, then kt P(t) = P 0...

One of the main applications of integration is the concept of growth and

decay in business and economics. If P₀
is invested for t years at interest rate k, compounded continuously, then kt P(t) = P₀e^kt
where P = P₀
at t = 0.

The value P is called the future value of P₀
dollars invested at interest rate k
, compounded continuously for t years. Determine the future value of $3650 invested for 3 years at an interest rate of 5%, compounded continuously