$($Nonannual compounding using a calculator$)$ Dennis Rodman has a $$$$5000$ debt balance on his Visa card that charges an APR of $11\mathrm{.}1$ percent compounded monthly.$$ Dennis's current minimum monthly payment is $4$ percent of his debt$$ balance, $ $200.$ How many months$($round up$)$ will it take Dennis to pay off his credit card if he pays the current miminum payment of $ $200$ at the end of each$$ month?