Respuesta :

Total = 1200[tex] ( 1+ \frac{0.08}{12} )^{30} [/tex] = $1464.71

Based on the amount paid monthly and the period of the mortgage, the loan amount is $163,540.19.

What is the loan amount?

The monthly payment is constant so this is an annuity. You can find the present value of an annuity as:

= Loan payment x (1 - (1 + rate) ^-number of periods) / rate

The number of periods is:
= 30 x 12

= 360 months

Rate:
= 8% / 12

= 8/12%

Loan amount is:

= 1,200 x ( 1 - ( 1 + 8/12%)⁻³⁶⁰) / 8/12%

= $163,540.19

Find out more on loan amounts at https://brainly.com/question/1211421.