The continuously compounded formula is given by:
[tex]A=Pe^{rt}[/tex]where P is the principal, r is the interest rate in decimal form and t is the time.
In this case the principal is 17500, the interest rate is 0.0575 and the time is 25; then we have:
[tex]\begin{gathered} A=17500e^{(0.0575)(25)} \\ A=73677.75 \end{gathered}[/tex]Therefore, there will be $73,677.75 after twenty five years.
