Final answer:
The accumulated value of an investment of $8000 at 8% compounded continuously for 6 years is $10,393.82.
Step-by-step explanation:
To find the accumulated value of an investment with continuous compounding, we can use the formula: A = P*e^(rt), where A is the accumulated value, P is the principal amount, r is the interest rate, and t is the time in years.
In this case, the principal amount is $8000, the interest rate is 8%, and the time is 6 years. Plugging these values into the formula, we get:
A = 8000*e^(0.08*6)
Simplifying this equation, we find that the accumulated value is $10,393.82.