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Lily invested $750 in a savings account and earned $225 in interest at the end of 5 years.


What was the interest rate?


A.

5%


B.

5.5%


C.

6%


D.

6.5%

Verified Answer :

After 5 years Lily has $750+$225 = $975
The equation for interest rate looks like:
750 x^5 = 975 
x^5 = 975/750
x^5 = 1.3
x = \(\sqrt[5]{1.3}\)
x = 1,0538
That means that interest rate is approximately 5,5% (B)

The reason for this calculation is because each year you multiply your money with interest rate and add that to your starting money.
After one year you will earn
750 + 750
interest rate = money after 1 year.
After 5 years we multiply 5 times so our interest rate is x^5 and money after 5 years is 750 + 225.