Simple Interest formula is : [tex]I=P*r*t[/tex], where I = Amount of interest, P= Principal amount, r = rate of interest in decimal and t = time duration in year.
Given in the question that, P = $800 and r = [tex]4\frac{3}{4}[/tex]% = 4.75% = 0.0475
a. For t = [tex]\frac{1}{2}[/tex] year ....
[tex]I= 800*0.0475*\frac{1}{2}\\ \\ I= 19[/tex]
So, Jada will receive $19 interest at the end of 1/2 year.
b. For t = 1 year ....
[tex]I= 800*0.0475*1\\ \\ I= 38[/tex]
So, Jada will receive $38 interest at the end of 1 year.