Arlene borrowed $$69,100$ to purchase a home. The bank offered her an APR of $4\mathrm{.}12\%$ for a term length of $20$ years. Excel calculates the monthly payment to be $$423\mathrm{.}11.$ If she were to pay only the minimum payment for the lifetime of the loan, how much will Arlene be paying in interest?

$$2,847$

$$32,446$

$$4,184$

$$55,751$

$$101,546$