Mrs$.$ Jasper has agreed to buy a home with a mortgage $($loan$)$ of $$354,000.$ Her monthly

payments are $$1,550\mathrm{.}36.$ After $30$ years of payments, the total amount she would pay is

a$)$ $$558,129\mathrm{.}60$

b$)$ $$354,000\mathrm{.}00$

c$)$ $$46,510\mathrm{.}80$

d$)$ $$18,604\mathrm{.}32$