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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 20,000at1220,000 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?

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Solution

To determine the principal in this scenario, we can follow these steps:

  1. Identify the given information:

    • Total investment amount: $20,000
    • Annual interest rate: 12%
    • Investment duration: 5 years
    • Total interest earned: $12,000
  2. Understand the relationship between principal, interest rate, time, and interest earned: The formula for simple interest is: Interest=Principal×Rate×Time \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time}

  3. Plug in the known values into the formula: 12,000=Principal×0.12×5 12,000 = \text{Principal} \times 0.12 \times 5

  4. Solve for the principal: 12,000=Principal×0.6 12,000 = \text{Principal} \times 0.6 Principal=12,0000.6 \text{Principal} = \frac{12,000}{0.6} Principal=20,000 \text{Principal} = 20,000

  5. 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.

This problem has been solved

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