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.

$13.\_$ 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?