To borrow​ money, you pawn your guitar. Based on the value of the​ guitar, the pawnbroker loans you ​$960. One month​ later, you get the guitar back by paying the pawnbroker ​$1170. What annual interest rate did you​ pay?

Mathematics · High School · Tue Nov 03 2020

Answered on

Given: 

Loan worth: $960

Amount Paid: $1170

Determine the annual interest rate that was paid.

Solution:

In order to determine the annual interest rate that was paid, simply subtract the loan worth to the amount paid first.

= 1170 - 960

= 210

Now we divide 210 by the loan worth.

= 210/ 960

=0.21875

Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.

=(0.21875)(100)

= 21.875%

Final answer:

The annual interest rate is 21.875%