Payouts and Annuities, Part II: Withdrawal Amounts

For this part of the project, you will be looking at the difference that the amount of the regular withdrawal makes on the longevity and total value of payout annuities.

C$.$ For all parts of this problem, you start with a retirement account that is worth $$500,000.$ The account has a $6\%$ APR, compounded monthly. Give all time answers in years and months, rounded down to the month. Give all money answers rounded down to the dollar.

$10.\_$ How long will the money last if you withdraw $$10,000$ per month?

How much will you withdraw in total over that time?

$11.\_$ How long will the money last if you withdraw $$5000$ per month?

How much will you withdraw in total over that time?

$12.\_$ How long will the money last if you withdraw $$3000$ per month?

How much will you withdraw in total over that time?

$13.\_$ How long will the money last if you withdraw $$2550$ per month?

How much will you withdraw in total over that time?

$14.\_$ How long will the money last if you withdraw $$2501$ per month?

How much will you withdraw in total over that time?

$15.\_$ How long the money last if you withdraw $$2500\mathrm{.}01$ per month?

How much will you withdraw in total over that time?