As part of your retirement plan, you have decided to deposit $9,000 at the beginning of each year into an account paying 4% interest compounded annually. (Round your answers to the nearest cent.)

(a) How much (in $) would the account be worth after 10 years?

(b) How much (in $) would the account be worth after 20 years?

(c) When you retire in 30 years, what will be the total worth (in $) of the account?

(d) If you found a bank that paid 6% interest compounded annually rather than 4%, how much (in $) would you have in the account after 30 years?

(e) Use the future value of an annuity due formula to calculate how much (in $) you would have in the account after 30 years if the bank in part (d) switched from annual compounding to monthly compounding and you deposited $750 at the beginning of each month instead of $9,000 at the beginning of each year.