If $\$ 9000$ is invested at $7 \%$ compounded continuously, what is the amount after 2 years?

Step 1 ：Given that the principal amount (P) is \$9000, the annual interest rate (r) is 7% or 0.07 in decimal form, and the time (t) is 2 years.

Step 2 ：We use the formula for continuous compounding, which is \(A = P * e^{rt}\), where A is the amount of money accumulated after n years, including interest.

Step 3 ：Substitute the given values into the formula: \(A = 9000 * e^{0.07*2}\)

Step 4 ：Calculate the value of A to find the final amount.

Step 5 ：Final Answer: The amount after 2 years is \(\boxed{10352.46}\).