You find that the going rate for a home mortgage with a term of 30 years is 7% APR. The lending agency says that based on your income, your monthly payment can be a most 730. How much can you borrow you borrow? (Round your answer to the nearest cent

Respuesta :

Given:

Monthly payment 730.

[tex]\begin{gathered} r=\frac{7}{100\times12} \\ r=\frac{0.07}{12} \end{gathered}[/tex][tex]\begin{gathered} t=30\times12 \\ t=360 \end{gathered}[/tex][tex]\text{Amount borrowed=}Monthly\text{ payment}\times\frac{\lbrack(1+r)^t-1\rbrack}{(1+r)^t\times r}[/tex][tex]\text{Amount borrowed}=730\times\frac{(\frac{12.07}{12})^{360}-1}{(\frac{12.07}{12})^{360}(\frac{0.07}{12})}[/tex][tex]\text{Amount borrowed}=730\times\frac{7.0202}{0.04678}[/tex][tex]\text{Amount borrowed}=730\times150.0684[/tex][tex]\text{Amount borrowed}=\text{ \$109549.93}[/tex][tex]\text{Amount borrowed}=10954993\text{ cent}[/tex]