Beginning at age 30, a self-employed plumber saves $50 per month in a retirement account until he reaches age 65.

The account offers 6% interest, compounded monthly. The balance in the account after t years is given by

A(t)=50,000(1.001^12t 1)

Complete parts (a) through (c).

Compute the balance in the account after 5, 15, 25, and 35 years. What is the average rate of change in the value of the account over the intervals [5,15], [15,25], and [25,35]?