investments increase exponentially by about 1...

investments increase exponentially by about 15% every 2 years. if you start with a $500 investment, how much money would you have after 40 years? future amount = 500(1 + 0.15)^? future amount = i(1 + r)^t enter the number that belongs in the g

Answer

# Explanation: ## Step1: Determine the number of 2 - year periods The investment period is 40 years and the growth period is 2 years. So the number of 2 - year periods $n=\frac{40}{2}=20$. ## Step2: Identify the formula components The initial investment $I = 500$, the growth rate $r=0.15$. The formula for future amount is $A = I(1 + r)^t$, where $t$ is the number of growth - periods. Here $t = 20$. # Answer: 20