#### Answer

77.50

#### Work Step by Step

I=PRT
Let P=775dollars, R=15%, T = 8 months
8 months =$\frac{8}{12}$ year=$\frac{2}{3}$
I = 775 $\times$15% $\times$ $\frac{2}{3}$
Write 15% as a decimal
I = 775$\times$0.15$\times$ $\frac{2}{3}$
Multiply
I = 116.25$\times$$\frac{2}{3}$ = $\frac{232.5}{3}$ = 77.5
The simple interest is 77.5 dollars.