Suppose that the accumulation in an investment fund is governed buy the accumulation function a(t)= 1+.04t where time is measured in years from January 1, 1990.

(a) Find the accumulation $100 s angle 6 at the time of the last deposit if deposits of $100 are made at the end of each year for six years, the first deposit being on December 31, 1990.

(b) What effective rate of compound interest would produce the same accumulated value (on December 31, 1995) for the sequence of six $100 deposits?