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A new business borrowed money to pay its start-up costs. The maturity value of the loan was $4,500, and the total amount of accrued interest was $350. What was the principal of the loan?

Question

A new business borrowed money to pay its start-up costs. The maturity value of the loan was 4,500,andthetotalamountofaccruedinterestwas4,500, and the total amount of accrued interest was 350. What was the principal of the loan?

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Solution

Sure, let's solve this step by step.

  1. Identify the given values:

    • Maturity value of the loan: $4,500
    • Total amount of accrued interest: $350
  2. Understand the relationship between the principal, interest, and maturity value:

    • Maturity value = Principal + Interest
  3. Set up the equation:

    • 4,500=Principal+4,500 = Principal + 350
  4. Solve for the principal:

    • Principal = 4,5004,500 - 350
    • Principal = $4,150

So, the principal of the loan was $4,150.

This problem has been solved

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