[SOLVED] [SOLVED] Mortgage Word Problem. HELP.

Hello, math-impaired!

Quote:

A bank makes a home mortgage loan of $180,000 at 7.25%
amortized in equal monthly payments over 30 years.
What is the total amount paid in interest when the mortgage is paid off?

If you are not familiar with the Amortization Formula, forget it!

. . . $A \;=\;P\frac{i(1 + i)^n}{(1+i)^n - 1}$ . where: . $\begin{array}{cccc}A & = \\ P & = \\ i & = \\ n & = \end{array}\,\begin{array}{cccc}\text{periodic payment} \\ \text{principal amount of loan} \\ \text{periodic interest rate} \\ \text{number of periods}\end{array}$

We have: . $\begin{array}{ccc}P & = \\ i & = \\ n & =\end{array}\:\begin{array}{ccc}180,000 \\ \frac{0.0725}{12} \\ 360\end{array}$

Then: . $A\;=\;180,000\frac{\left(\frac{0.0725}{12}\right)\ left(1 + \frac{0.0725}{12}\right)^{360}}{\left(1 + \frac{0.0725}{12}\right)^{360}-1} \;=\;1227.917298$

Hence, the monthly payments are: $\$1227.92$

Can you finish the problem now?