Answer :
To calculate the compound continuosly in a certain ammount of time we need to use the formula
[tex]A=Pe^{rt}[/tex]where P is the principal invesment, r is the interest rate in decimal form, and t is the time.
In our case P is $20,000, r is 0.075, and t is 10. Then
[tex]\begin{gathered} A=20000e^{0.075\cdot10} \\ =42340 \end{gathered}[/tex]Therefore she will have $42,340 after ten years.