A $$250,000$ property is purchased for $$50,000$ down with the remainder mortgaged at $3\mathrm{.}00\%$ compounded monthly. This mortgage will require end$-$of$-$month payments of $$2,600.$Full solutions are required for parts $($a$)$ and $($c$).$a$.$ How long, in years and months, will it take to fully pay for this property?$0$ years and $0$ monthsRound to nearest monthb. Create a partial amortization schedule, showing details of the last three payments. No calculations need to be shown for this part.Payment #Amount PaidInterest PortionPrincipal PortionPrincipal Balance$0$$$0\mathrm{.}000$$$0\mathrm{.}00$$$0\mathrm{.}00$$$0\mathrm{.}00$$$0\mathrm{.}000$$$0\mathrm{.}00$$$0\mathrm{.}00$$$0\mathrm{.}00$$$0\mathrm{.}000$$$0\mathrm{.}00$$$0\mathrm{.}00$$$0\mathrm{.}00$$$0\mathrm{.}00$c$.$ Calculate the total amount of interest paid over the entire mortgage.$$0\mathrm{.}00$Round to nearest cent