The rule of the simple interest is
[tex]I=\text{PRT}[/tex]P is the initial deposit
R is the rate in decimal
T is the time
Since the initial deposit is $250, then
P = 250
Since the rate is 22%, then
Divide it by 100 to change it to decimal
[tex]R=\frac{22}{100}=0.22[/tex]Since the time is 8 years, then
T = 8
Substitute them in the rule above to find the interest
[tex]\begin{gathered} I=250(0.22)(8) \\ I=440 \end{gathered}[/tex]Then the interset is $440 after 8 years.