Thom owes $$7,600$ on his credit card. The credit card carries an APR of $18\mathrm{.}6$ percent compounded monthly. If Thom makes payments of $$235$ per month, how long will it take for him to pay off the credit card assuming that he makes no additional charges?

Multiple Choice

$42\mathrm{.}22$ months

$48\mathrm{.}71$ months

$45\mathrm{.}23$ months

$32\mathrm{.}34$ months

$11\mathrm{.}42$ months