Final answer:
To find the amount of a continuous money flow in which $100 per year is being invested at 6%, compounded continuously for 10 years, use the formula A = Pe^(rt). Plugging in the values, the final amount is $182.21.
Step-by-step explanation:
To find the amount of a continuous money flow in which $100 per year is being invested at 6%, compounded continuously for 10 years, we use the formula A = Pe^(rt), where A is the final amount, P is the initial investment, e is the constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.
Plugging in the values, we have A = 100 * e^(0.06 * 10).
Simplifying, A = 100 * e^(0.6) = 100 * 1.82212 = $182.21.