Question $15$

You have a $$4,000$ balance on your credit card. The interest rate on the card is a $17\mathrm{.}49\%$ APR,

based on monthly compounding. Assume that you are not going to add any more charges to

the card. If you make monthly $($end$-$of$-$the$-$month$)$ payments of $$363$ each, how long in years

will it take you to pay off the card?

Input your answer rounded to the nearest $0\mathrm{.}1$ year $($in other words, nearest $10$th of a year$).$