You are planning to save for retirement. You will invest $800 per month in an annuity. Each year, you will increase the amount you save by 3%. Let R(t) be the income stream for how much you invest for the year, where t is the time in years since you began investing. What is a formula for R(t)?
R(t) = 9,600 + 800t dollars/year
R(t) = 800 dollars/year
R(t) = 9,600(1.03)^t dollars/year
R(t) = 800(1.03)^t dollars/year
If the annuity pays interest at a rate of 4% per year, with interest paid continuously, how much will be in the account when you retire in 30 years? Round the value to the nearest cent; do not include a dollar sign with your answer: