Answer:
$3,927.53
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below.
![A = Pe^{rt}](https://tex.z-dn.net/?f=A%20%3D%20Pe%5E%7Brt%7D)
<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First change 8.25% to its decimal form:
8.25% ->
-> 0.0825
Next, plug in the values into the equation:
![A=2,600e^{0.0825(5)}](https://tex.z-dn.net/?f=A%3D2%2C600e%5E%7B0.0825%285%29%7D)
![A=3,927.53](https://tex.z-dn.net/?f=A%3D3%2C927.53)
The balance of the account after 5 years will be $3,927.53