A client invested $20,000 at 12% for 5 years. At the end of the 5 years, the investment had earned $12,000 in interest. What is the principal in this scenario?
Question
A client invested 12,000 in interest. What is the principal in this scenario?
Solution
To determine the principal in this scenario, we can follow these steps:
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Identify the given information:
- Total investment amount: $20,000
- Annual interest rate: 12%
- Investment duration: 5 years
- Total interest earned: $12,000
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Understand the relationship between principal, interest rate, time, and interest earned: The formula for simple interest is:
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Plug in the known values into the formula:
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Solve for the principal:
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Verify the result: The calculated principal is $20,000, which matches the total investment amount given in the problem.
Therefore, the principal in this scenario is $20,000.
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