Math Problem Statement

Accepted a $7,440, 90-day, 10% note in granting a time extension on the past-due account receivable of Mulan Company

Solution

To analyze the acceptance of the note, let’s break it down into the key financial components:

  1. Principal Amount (Face Value of the Note): $7,440
    This represents the amount extended to Mulan Company.

  2. Duration of the Note: 90 days
    The note will mature in 90 days, at which time the principal and accrued interest will be due.

  3. Interest Rate: 10% annual rate
    This rate will be used to calculate the interest on the note.

Calculating the Interest

The formula to calculate interest is:

Interest=Principal×Rate×Time (days)360\text{Interest} = \text{Principal} \times \text{Rate} \times \frac{\text{Time (days)}}{360}

Assuming a 360-day year for simplicity:

Interest=7,440×0.10×90360\text{Interest} = 7,440 \times 0.10 \times \frac{90}{360}

Interest=7,440×0.10×0.25=186\text{Interest} = 7,440 \times 0.10 \times 0.25 = 186

Total Amount Due at Maturity

The total amount to be paid at maturity includes the principal and the accrued interest:

Total Amount=Principal+Interest\text{Total Amount} = \text{Principal} + \text{Interest}

Total Amount=7,440+186=7,626\text{Total Amount} = 7,440 + 186 = 7,626

Journal Entry for Accepting the Note

On the date of acceptance of the note, the company records the following journal entry:

  • Debit: Notes Receivable $7,440
    (Recognizes the note receivable as an asset.)

  • Credit: Accounts Receivable – Mulan Company $7,440
    (Removes the past-due account receivable.)


Summary

  • Principal Amount: $7,440
  • Interest Accrued (90 days): $186
  • Total Amount at Maturity: $7,626

Would you like me to:

  • Detail the journal entry for maturity?
  • Explain the impact on financial statements?
  • Discuss implications of the 90-day term?
  • Show different methods of interest computation?
  • Review the overall notes receivable management?

Tip: Regularly monitoring receivables and credit terms can improve cash flow and reduce bad debt risks.

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Math Problem Analysis

Mathematical Concepts

Interest Calculation
Time Value of Money
Notes Receivable

Formulas

Interest = Principal × Rate × (Time / 360)
Total Amount = Principal + Interest

Theorems

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Suitable Grade Level

Grades 9-12