Answer:
$10,253.04
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below.
[tex]A = Pe^{rt}[/tex]
P = principal amount
r = interest rate (decimal)
t = time (years)
First, change 9% into a decimal:
9% -> [tex]\frac{9}{100}[/tex] -> 0.09
Next, plug the values into the equation:
[tex]A=2,658e^{0.09(15)}[/tex]
[tex]A=10,253.04[/tex]
The account will have $10,253.04