As part of your retirement plan, you have decided to deposit $6,000 at the beginning of each year into an account paying 3% 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 3%, 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 $500 at the beginning of each month instead of $6,000 at the beginning of each year.