Question 10 of 10Which of these expressions can be used to calculate the monthly payment fora 30-year loan for $195,000 at 6.6% interest, compounded monthlyO A$195 000 0.0055(1 +0.0055) 300(1 +0.0055)300 + 1B.$195 000 0.0055(1 -0.0055) 60(1 -0.0055)300 - 1C.$195 000 0.0055 (13600055)RE(1 +0.0055)D$195 000 0.0055 (1 -0.0055560(1 -0.0055) 300 +1

Respuesta :

[tex]M=\frac{\lbrack195,000\cdot(1+0.0055)^{3}^{6}^{0}\rbrack}{360}[/tex]

1) Let's calculate the monthly payment, considering the following about this:

[tex]\begin{gathered} M=\frac{\mleft[P\cdot(1+\frac{r}{n})\mright]^{nx}}{nx} \\ \\ M=\frac{\mleft[195,000\cdot(1+\frac{0.066}{12})^{3}^{6}^{0}\mright]}{360} \\ M=\$3901.92 \end{gathered}[/tex]

Note that we call the Principal, i.e. $195,000 an interest rate of 6.6% (or 0.06%) note that there is no mention of any down payment. And the x variable stands for the duration of the loan. Also, n stands for the number of months within a year.

2) We need to do a little adjustment so that the answer might fit into the options, rewriting the fraction as a decimal number we have

2) Thus, the answer is:

[tex]M=\frac{\lbrack195,000\cdot(1+0.0055)^{3}^{6}^{0}\rbrack}{360}[/tex]