$10,000 is invested for 5 years in an account that follows a(t) = e^(0.02t) + (0.005t^2)

a) Find the accumulated value at the end of the 5 years.

b) Find the effective annual rate of return in each of the 5 years

c) Find the average annual effective rate of return over the five year period

d) Find an expression for the force of interest as a function of t, and evaluate this at t=3.25

a(t) is the function for interest rate, so the interest at time t is e^(0.02t) + (0.005t^2)