Bob and wife Tomate have a mortgage of $$250,000$ at an annual rate of $2\mathrm{.}75\%$ for $30$ years. How much interest $($total$)$ will they pay over the life of the loan?

Group of answer choices

$$250,000\mathrm{.}00$

$$367,417\mathrm{.}06$

$$106,417\mathrm{.}06$

$$117,417\mathrm{.}06$

Josh has a mortgage loan of $$300,000$ for $30$ years at $3\mathrm{.}75\%$ annual interest. If he refinances the $$300,000$ for $15$ years at $2\mathrm{.}25\%$ annual interest, how much will he SAVE $($total$)$ in interest over the life of the loan?

Group of answer choices

$$0\mathrm{.}00$ None.

$$53,745\mathrm{.}78$

$$146,419\mathrm{.}06$

$$200,164\mathrm{.}84$