Compound Interest Practice

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Question 1
Calculate the total amount of money that we need to pay back for a $2500 loan with a compounding interest rate of 20%. The duration of the loan is 2 years.

Answer

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A. $1600
B. $2600
C. $3600
D. $4600
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Step by Step Solution 

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Step 1
We start with the compound interest formula:
compound interest formula

Where:   
  1. A is the total amount of money (including interest) after n years
  2. P is the principal ($5000)
  3. r is the interest rate per year (20 ÷ 100 = 0.2)
  4. n is the loan duration in year (2 years).
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Step 2
With P=5000, r=0.2 and n=2, we can substitute these values into the compound interest formula as shown below: 
using the compound interest formula

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Step 3
The total amount that we need to pay back is $6655. Hence, the answer is C. 
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