You just bought a home for $$250,000$ and are to make monthly payments of $$1,834\mathrm{.}41$ for $30$ years at $8\%$ APR. Suppose you add $$298\mathrm{.}44$ each month to the $$1,834\mathrm{.}41$ house payment making your monthly payment $$2,132\mathrm{.}85.$ This extra amount is applied to the principal. How long will it take you to pay off your loan of $$250,000?$ Use a calculator to determine your answer.

A$)$ It will take under $15$ years.

B$)$ It will take slightly over $19$ years.

C$)$ It will take about $16$ years.

D$)$ It will take slightly over $20$ years.