$14.$ Suppose you are buying your first condo for $$145,000,$ and you will make a $$15,000$ down payment. You have arranged to finance the remainder with a $30-$year, monthly payment, amortized mortgage at a $5\%$ nominal interest rate, with the first payment due in one month. What will your monthly payments be$?$ How much of first month payment is the principal.

a$.$ $$641\mathrm{.}57$ & $$695\mathrm{.}22$

b$.$ $$605\mathrm{.}91$ & $$541\mathrm{.}67$

c$.$ $$780\mathrm{.}60$ & $$156\mathrm{.}20$

d$.$ $$662\mathrm{.}77$ & $$541\mathrm{.}67$

e$.$ $$697\mathrm{.}87$ & $$156\mathrm{.}20$