The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.
<h3>What is compound interest?</h3>
Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
![A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}](https://tex.z-dn.net/?f=A%3DP%5Cleft%281%2B%5Cdfrac%7BR%7D%7Bn%5Ctimes100%7D%5Cright%29%5E%7Bnt%7D)
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.
Put this values in the above formula as,
![A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times4}\\A=11422.6348](https://tex.z-dn.net/?f=A%3D8470%5Cleft%281%2B%5Cdfrac%7B7.5%7D%7B12%5Ctimes100%7D%5Cright%29%5E%7B12%5Ctimes4%7D%5C%5CA%3D11422.6348)
For the four years, the monthly payment is,
![m=\dfrac{11422.6348}{12\times4}\\m=237.97](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B11422.6348%7D%7B12%5Ctimes4%7D%5C%5Cm%3D237.97)
The monthly payment of unsubsidized loan is $237.97.
The monthly payment of subsidized loan is $202.80.
The difference between the unsubsidized and subsidized loan monthly payment is,
![d=237.97-202.80\\d=35.17\\d\approx 35.05](https://tex.z-dn.net/?f=d%3D237.97-202.80%5C%5Cd%3D35.17%5C%5Cd%5Capprox%2035.05)
Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.
Learn more about the compound interest here;
brainly.com/question/24274034