The formula for continuously compounded interest is:
A = Pe^(rt)
where A is the ending amount, P is the principal (starting amount), e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.
Using this formula, we can find the future value of $1500 invested for 8 years at a continuously compounding rate of 9%:
A = 1500e^(0.09*8)
A = 1500e^(0.72)
A = 1500*2.054
A = $3079.35
Therefore, the future value of $1500 invested for 8 years at a continuously compounding rate of 9% is approximately $3,079.35.