- Applications of Definite Integrals Course Packet on income streams and annuities A Math 110 student decides to make annual payments of $1,500 into a retirement account paying 9% interest per year compounded continuously. If the student continues to make these payments for 40 years, compute each of the following values. Account balance after 40 years (exact value) = dollars Account balance after 40 years (rounded to the nearest cent) = dollars Total of all deposits (exact value) = dollars Total of all interest payments (rounded to the nearest cent) = dollars MY NOTES