Respuesta :

The formula for the interest compounded continuosly is given by:

[tex]A=Pe^{rt}[/tex]

Where:

A is the final amount.

P initial amount= $22,000

r rate of interest = 3.75% or 0.0375

t time in year = 11 years

e= Euelr's number= 2.72

Replacing the values:

[tex]\begin{gathered} A=22000*e^{(0.0375)*11} \\ A=33232.96993\approx33232.97 \end{gathered}[/tex]

Answer: The final amount after 11 years is $33232.97