Brad decides to purchase a $$220,000$ house. He wants to finance the entire balance. He has received an APR of $3\mathrm{.}9\%$ for a $15-$year mortgage. Over the course of the loan, how much interest will Brad pay? Round your answer to the nearest hundredth.

$\{\begin{array}{ccc}\text{:}[q,& \text{F}\text{o}\text{r}\text{m}\text{u}\text{l}\text{a}\text{s}& ]\\ \{\begin{array}{ccc}\text{:}[& \text{R}\text{e}\text{g}\text{u}\text{l}\text{a}\text{r}\text{P}\text{a}\text{y}\text{m}\text{e}\text{n}\text{t}\text{f}\text{o}\text{r}\text{F}\text{i}\text{x}\text{e}\text{d}& ]\\ & \text{I}\text{n}\text{s}\text{t}\text{a}\text{l}\text{l}\text{m}\text{e}\text{n}\text{t}\text{L}\text{o}\text{a}\text{n}\text{s}& \end{array}\\ \{\begin{array}{ccc}\text{:}[& \text{N}\text{u}\text{m}\text{b}\text{e}\text{r}of\text{F}\text{i}\text{x}\text{e}\text{d}\text{P}\text{a}\text{y}\text{m}\text{e}\text{n}\text{t}\text{s}& ]\\ & \text{R}\text{e}\text{q}\text{u}\text{i}\text{r}\text{e}\text{d}to\text{P}\text{a}\text{y}\text{O}\text{f}\text{f}\text{C}\text{r}\text{e}\text{d}\text{i}\text{t}\text{C}\text{a}\text{r}\text{d}& \\ & \text{D}\text{e}\text{b}\text{t}& \end{array}\end{array}R=\frac{(P*\frac{r}{n})}{[1-(1\frac{r}{n}{)}^{-nt}]}$