Use the continuous compound interest formula to find the indicated value. \[ P=\$ 2,000 ; r=3.38 \% ; t=2 \text { years; } A=\text { ? } \]

Step 1 ：We are given the following values: Principal amount (P) = $2000, annual interest rate (r) = 3.38% or 0.0338 in decimal form, and time (t) = 2 years. We are asked to find the amount of money accumulated after 2 years, including interest (A).

Step 2 ：We use the continuous compound interest formula, which is \(A = P e^{rt}\).

Step 3 ：Substitute the given values into the formula: \(A = 2000 \times e^{0.0338 \times 2}\).

Step 4 ：Calculate the value of A.

Step 5 ：\(A = 2139.874495946383\)

Step 6 ：Round the final answer to two decimal places.

Step 7 ：\(\boxed{2139.87}\)