$10.$ Suppose you are buying your first condo for $$225,000$ and you will make a $10\%$ down payment. You have arranged to finance the remainder with a $30-$year, end of the month payment amortized mortgage at a $6\%$ interest rate, with the first payment due in one month. What will your monthly payments be$?$

a$.$ $$1,042\mathrm{.}91$

b$.$$$1,289\mathrm{.}03$

c$.$$$1,146\mathrm{.}64$

d$.$$$1,214\mathrm{.}09$

e$.$$$1,349\mathrm{.}00$

f$.$$$1,079\mathrm{.}19$