Explanation
We are given that the initial deposit is $1000
We are asked to get the future value will be obtained as follow
[tex]Future\text{ value=}1000\times(1+\frac{8}{100})(1+\frac{7}{100})(1+\frac{9}{100})[/tex]simplifying further
[tex]Future\text{ value=1000}\times1.08\times1.07\times1.09=1259.6[/tex]Thus, the future value will be $1259.60