How much longer will it take to pay off a $$200,000$ loan with monthly payments of $$2,000$ than with monthly payments of $$2,100?$ The interest rate on the loan is $11\mathrm{.}50\%$ compounded monthly. $($Do not round intermediate calculations and round up the number of payments, n$,$ to the next whole number.$)$ Difference year$($s$)$ and month$($s$).$