Jerry and his wife Lewis have a home mortgage of $$175,000$ at $4\mathrm{.}0\%$ annual interest for $30$ years. How much will they SAVE in interest expense if they pay an extra $$125\mathrm{.}00$ per month as an extra principle payment?

Group of answer choices

$$55,221\mathrm{.}14$

$$94,806\mathrm{.}13$

$$30,965\mathrm{.}51$

$$125,771\mathrm{.}64$