According to the problem, the principal is 400, the interest rate is 14%, the time is 5 years, and it's compounded quarterly which means there are 4 compound periods each year.
We have to use the compound interest formula.
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Replacing the given values, we have.
[tex]\begin{gathered} A=400(1+\frac{0.14}{4})^{4\cdot5} \\ A=400(1+0.035)^{4\cdot5} \\ A=400(1.035)^{20} \\ A\approx795.92 \end{gathered}[/tex]