If you can afford a [tex]$425 per quarter loan payment, what is the largest size loan you can take if the 13-year loan will earn $[/tex]3.3\%[tex]$ interest compounded quarterly?

Identify your variables:
\[ \text{PMT} = \boxed{} \]
\[ r = \boxed{} \]
\[ n = \boxed{} \]
\[ t = \boxed{} \]

Which is the correct formula for solving this problem?
\[ I = P r t \]
\[ A = P e^{r t} \]
\[ A = P \left(1 + \frac{r}{n}\right)^{n t} \]
\[ P_0 = \text{PMT} \left(\frac{1 - \left(1 + \frac{r}{n}\right)^{-n t}}{\frac{r}{n}}\right) \]
\[ \text{PMT} = P_0 \left(\frac{\frac{r}{n}}{1 - \left(1 + \frac{r}{n}\right)^{-n t}}\right) \]
\[ \text{PMT} = A \left(\frac{\frac{r}{n}}{\left(1 + \frac{r}{n}\right)^{n t} - 1}\right) \]
\[ x = \frac{-b \pm \sqrt{b^2 - 4 a c}}{2 a} \]
\[ A = \text{PMT} \left(\frac{\left(1 + \frac{r}{n}\right)^{n t} - 1}{\frac{r}{n}}\right) \]

Solve for the size of the loan: $[/tex] \boxed{} $