Maria takes out a $135,000 mortgage at 4.9% and plans to pay it back in 15 years. Her monthly payment is $1,061. What proportion of the total loan payments Maria makes goes to interest?

Respuesta :

ANSWER:

[tex]\frac{311}{1061}[/tex] th proportion of the total loan payments Maria makes goes to interest

SOLUTION:

Given, Maria takes out a $135,000 mortgage at 4.9%  

And plans to pay it back in 15 years.  

Her monthly payment is $1,061.  

We need to find what proportion of the total loan payments Maria makes goes to interest?

Now, let us find the total payment made by her.

Total payment = monthly payment [tex]\times[/tex] 12 months [tex]\times[/tex]  15 years

= 1061 x 12 x 15  = 190980

Now,  

Interest amount for 15 years = total payment – mortgage amount taken by her.

= 190980 – 135000  = 55980

Now, proportion of interest = [tex]\frac{\text { interest paid }}{\text { total loan payments }}[/tex]

[tex]=\frac{55980}{190980}=\frac{311}{1061}[/tex]

Hence [tex]\frac{311}{1061}[/tex] th proportion of the total loan payments Maria makes goes to interest

Answer:

The answer would be 0.1%.

Step-by-step explanation:

In order to find this out, you must do the amount given to the principal divided by the initial principal. In this case, it would be 288/135,000. This gives you the answer 0.0012255319. After that multiply by 100 to get the percentage. This should give you the answer of 0.1%.

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