$5$ Below you will examine paying off credit card debt with the minimum payment. Use the

information below to complete the problem.

Discover both how much is paid and how long it takes to pay off a $$2250$ credit card debt

paying the minimum payment which is the maximum of $3\%$ of the Current Balance or a fixed

amount of $$25.$ The credit card has $21\%$ APR compounded monthly. Find out how long it takes

to pay this off and how much will be paid total. Assume payments are made on the current

balance at the beginning of each period $($month$),$ before interest is accrued and assuming

that the card is not being used for any additional charges.