$16.$ Steven purchased a home and borrowed $$300,000$ to finance his home. He took a $30$ year loan at an annual rate of $6\%.$ Mortgage will be paid off monthly. Assuming no refinancing or early payoff of the loan, how much total interest will be pay to wards this loan?

a$.$ $$179,865\mathrm{.}00$

b$.$$$647,514\mathrm{.}47$

c$.$$$217,946\mathrm{.}7$

d$.$$$347,514\mathrm{.}57$

e$.$$$653,840\mathrm{.}2$

f$.$$$353,840\mathrm{.}2$