You decide to invest $10,000 in an account where the interest compounds annually. Create an exponential function to represent how much money you will have after 20 years if the money grows at a rate of 7.5 percent
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Apply the compound interest formula:
• A= P (1 + r/n)^nt
Where:
A = future value
P = Principal investment = $10,000
r = interest rate in decimal form = 7.5 /100 = 0.075
n= number of compounding periods per unit t = 1 (anually)
t= years = 20
Replacing:
A = 10,000 ( 1+ 0.075 )^20