Definite Integral Help?

Question

Alphonsus deposits $4000 each year into a retirement account which pays 4% interest compunded continuously. If he continues this for 20 years, the balance in the account will be given by bounds(0,20) 4000e^((.04)(20-t))dt. Find balance after 20 years.

Answer 1

The Function is

= -100000 * [1 - 2.2255]

= -100000 * -1.2255409

= 122,554.09.

Therefore total balance after 20 years is 122,554.09.