You plan to borrow $$50,000$ at an $8\mathrm{.}2\%$ annual interest rate. The terms require you to amortize the loan with $7$ equal end$-$of$-$year payments. How much interest would you be paying in Year $2?$ a$.$ $$9,669\mathrm{.}41$ b$.$ $$3,643\mathrm{.}31$ c$.$ $$8,936\mathrm{.}61$ d$.$ $$3,703\mathrm{.}40$ e$.$ $$4,100\mathrm{.}00$