You have just received an offer in the mail from Friendly Loans. The company is offering to loan you $$5,500$ with low payments of $$100$ per month. If the interest rate on the loan is an APR of $14\mathrm{.}7$ percent compounded monthly, how long will it take for you to pay off the loan?

Multiple Choice

$16\mathrm{.}09$ months

$55\mathrm{.}00$ months

$85\mathrm{.}86$ months

$91\mathrm{.}99$ months

$99\mathrm{.}07$ months