Solution
Part A
First school
Loris State Community College
Cost for two year tuition $9,500
[tex]\begin{gathered} simple\text{ Interest=}\frac{PRT}{100} \\ p=9500 \\ r=5\text{ \%} \\ t=15 \\ \\ Simple\text{ interest=}\frac{9500\times5\times15}{100}=95\times75=7,125 \\ \\ Amount\text{ =P+I} \\ Amount=9500+7125=\text{ \$}16,625 \end{gathered}[/tex]
15 years to months
[tex]\begin{gathered} 1year\text{ =12months} \\ 15years=15\times12 \\ 15years\text{ =180months} \end{gathered}[/tex]
Amount to pay monthly
[tex]\frac{16,625}{180}=92.36[/tex]
You will have to pay $92.36 monthly
Par B
Marlo State Community College/ Cost for two-year tuition $10,500
[tex]\begin{gathered} Simple\text{ interest=}\frac{PRT}{100} \\ \\ p=10,500 \\ r=5\text{ \%} \\ t=15 \\ Simple\text{ Interest=}\frac{10,500\times5\times15}{100} \\ simple\text{ interest =105}\times75 \\ Simple\text{ interest =7,875} \\ Amount=P+I \\ Amount=10,500+7,875 \\ Amount\text{ = \$18,375} \end{gathered}[/tex]
Now the monthly pay
15years =180months
[tex]\frac{18375}{180}=102.08[/tex]
The monthly pay is $102.08