Suppose your great-great grandfather invested $\$ 900$ earning $5.5 \%$ interest compounded continuously 100 years ago. How much would his investment be worth today? Today his investment will be worth \$ (Do not round until the final answer. Then round to two decimal places as needed.)

Step 1 ：Given that the principal amount (P) is $900, the annual interest rate (r) is 5.5% or 0.055 in decimal, and the time (t) is 100 years.

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

Step 3 ：Substitute the given values into the formula: \(A = 900 * e^{(0.055 * 100)}\)

Step 4 ：\(\boxed{A = \$ 1,487,316.45}\)