Final answer:
To find the future value of a $2000 investment after 11 years with 3.4% interest compounded continuously, use the formula FV = P * e^(rt). The future value is approximately $2600.41.
Step-by-step explanation:
To find the future value of a $2000 investment after 11 years with 3.4% interest compounded continuously, we can use the formula:
FV = P * e^(rt)
Where FV is the future value, P is the principal (initial investment), e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years.
Plugging in the values, we get:
FV = 2000 * e^(0.034 * 11)
Using a calculator to evaluate the expression, we find that the future value of the investment is approximately $2600.41 when rounded to the nearest cent.