We are given formula for continuous change function A(t) = Pe^rt.
We need to find the value of $10,500 investment amount grows 3.75% each year after 9 years.
Plugging values of P=10500
r= 3.75% = 0.0375 and
t=9 in given formula.
We get

Let us simplify it now.



Rounding it to the nearest cents.
=14715.12.
Therefore, $14715.12 will be investment amount $10,500 after 9 years.