# Integrals and Banking

1. Mar 9, 2009

### toasted

1. The problem statement, all variables and given/known data

A deposit of \$2500 is made in a savings account earning 12% interest cpmpounded continuously. Find the average balance in the account during the first two years.

2. Relevant equations

3. The attempt at a solution
I know I'm suppose to set up an integral from 0 to 2 and then multiple the integral by .5. I was just wondering if someone can explain how to set up the actual integral on the inside. I mean Im not sure what equation I'm using.

2. Mar 9, 2009

### HallsofIvy

Staff Emeritus
so the principle is given by $P= P_0e^1.12t$ and the interest is $P_0(1- e^{1.12t}$. That is what you need to integrate from 0 to 2.