Solution
Part A
First school
Loris State Community College
Cost for two year tuition $9,500
![\begin{gathered} simple\text{ Interest=}(PRT)/(100) \\ p=9500 \\ r=5\text{ \%} \\ t=15 \\ \\ Simple\text{ interest=}(9500*5*15)/(100)=95*75=7,125 \\ \\ Amount\text{ =P+I} \\ Amount=9500+7125=\text{ \$}16,625 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/odptw5ta2ho769mlm109w6rl0bzh2moe9s.png)
15 years to months
![\begin{gathered} 1year\text{ =12months} \\ 15years=15*12 \\ 15years\text{ =180months} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/s911uyp2i6e775xvb000da0mtlfsri403g.png)
Amount to pay monthly
![(16,625)/(180)=92.36](https://img.qammunity.org/2023/formulas/mathematics/high-school/cnk0ese4440qan26t2cpa3hea8hwdltb6e.png)
You will have to pay $92.36 monthly
Par B
Marlo State Community College/ Cost for two-year tuition $10,500
![\begin{gathered} Simple\text{ interest=}(PRT)/(100) \\ \\ p=10,500 \\ r=5\text{ \%} \\ t=15 \\ Simple\text{ Interest=}(10,500*5*15)/(100) \\ simple\text{ interest =105}*75 \\ Simple\text{ interest =7,875} \\ Amount=P+I \\ Amount=10,500+7,875 \\ Amount\text{ = \$18,375} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/v12mn1yvybs56v4odmw8ipe8h5nyobrpqf.png)
Now the monthly pay
15years =180months
![(18375)/(180)=102.08](https://img.qammunity.org/2023/formulas/mathematics/high-school/g7fyduxkyaozub98qb8eaowlvrmmt173gu.png)
The monthly pay is $102.08