Tarek earns an annual mean gross salary of $61,890.00. What percent of his total salary will he pay in student loan payments if the payments are $250.00 per month for 144 months? Round to the nearest tenth. 4.6%4.7%4.8%4.9%

Respuesta :

Given:

Gross salary = $61,890.00

Let's determine the percent of the salary he will pay on loan payments if the payments are $250.00 per month for 144 months.

Let's first find the total amount to be paid in loans:

Total loan payment = $250.00 x 144 = $36,000

The total payment on loans is $36,000

Let's find the number of years in 144 months, where:

1 year = 12 months

[tex]\frac{144}{12}=\text{ 12 years}[/tex]

This means he will make the payment for 12 years.

Now, to find the percent of total salary to be used on loans, we have:

[tex]x\text{ \% of (61890}\ast12)\text{ = 36000}[/tex]

Let's solve for x:

[tex]\begin{gathered} \frac{x}{100}\times742680=36000 \\ \\ 742680x=36000\times100 \\ \\ 742680x=3600000 \end{gathered}[/tex]

Divide both sides by 742680:

[tex]\begin{gathered} \frac{742680x}{742680}=\frac{3600000}{742680} \\ \\ x=4.8\text{ \%} \end{gathered}[/tex]

Therefore, the percent of his total salary he will pay in student loan payments is 4.8%.

ANSWER:

4.8%