The principal is given as $8500 , rate is 5 percent compounded semi-annually and time is 7 years.
To determine the interest ,
Use the formula
[tex]A=P+I[/tex]First determine the amount,
[tex]A=P(1+\frac{r}{n})^{nt}[/tex][tex]A=8500(1+\frac{5}{100\times2})^{2\times7}[/tex][tex]A=8500(1+0.025)^{14}=8500\times1.025^{14}[/tex][tex]A=12010.28\text{dollar}[/tex]Then the interest is determined as
[tex]12010.28=8500+I[/tex][tex]I=12010.28-8500[/tex][tex]I=3510.28dollar[/tex]Hence the interest in 7 years is 3510.28 dollar.