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Using it's formula, it is found that she will have monthly payments of $1,970.45 to pay off the mortgage.

What is the monthly payment formula?

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

  • P is the initial amount.
  • r is the interest rate.
  • n is the number of payments.

In this problem, the parameters are given as follows:

P = 250000, r = 0.0495, n = 15 x 12 = 180.

Hence:

r/12 = 0.0495/12 = 0.004125.

Hence the monthly payments will be of:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 250000\frac{0.004125(1 + 0.004125)^{180}}{(1 + 0.004125)^{180} - 1} = 1970.45[/tex]

More can be learned about the monthly payment formula at https://brainly.com/question/27826541

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