problem: How many dollars in interest are earned in two years on a deposit of $\$$10,000 invested at 4.5$\%$ and compounded annually? Express your answer to the nearest cent.
solution: After two years, at a 4.5 percent annual interest rate, the investment will have grown to $10000 \cdot (1.045)^2 = 10920.25$, so the interest earned is $10920.25 - 10000 = \boxed{920.25}$.