You have just gotten a mortgage for $$150,000.$ The interest rate on the mortgage is $6\%$ per year, compounded semi$-$annually. If the amortization period is $25$ years, and you are going to make weekly payments what will be the size of each payment?a$)$ $$221\mathrm{.}05$b$)$ $$590\mathrm{.}44$c$)$ $$219\mathrm{.}27$d$)$ $$219\mathrm{.}02$e$)$ $$302\mathrm{.}46$