On December 1, Victoria Company signed a 90-day, 6% note payable, with a face value of $15,000. What amount of interest expense is accrued at December 31 on the note? (Use 360 days a year.) Multiple Choice $225 $300 $900 $0 $75 O

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Question 29
### Calculating Interest Expense Accrued on a Note Payable

On December 1, Victoria Company signed a 90-day, 6% note payable, with a face value of $15,000. To determine the amount of interest expense accrued at December 31 on the note, consider the following:

#### Formula for Interest Calculation
\[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \]

Where:
- Principal is the face value of the note.
- Rate is the annual interest rate.
- Time is the portion of the year the interest is accrued. (Use 360 days a year for the calculation, not 365.)

#### Given Data
- Principal (P): $15,000
- Annual Interest Rate (R): 6%
- Time (T): 30 days (from December 1 to December 31 since it's a 90-day note and we are calculating for one month).

#### Calculation
1. Convert the annual rate to a daily rate: 
\[ \text{Daily Rate} = \frac{6\%}{360} = 0.01667\% \]

2. Calculate the interest for 30 days:
\[ \text{Interest} = P \times R \times T \]
\[ \text {Interest} = 15,000 \times \frac{6}{100} \times \frac{30}{360} \]
\[ \text {Interest} = 15,000 \times 0.06 \times \frac{1}{12} \]
\[ \text {Interest} = 15,000 \times 0.005 \]
\[ \text {Interest} = 75 \]

#### Multiple Choice Question
What amount of interest expense is accrued at December 31 on the note?

- \( \circ \) $225
- \( \circ \) $300
- \( \circ \) $900
- \( \circ \) $0
- \( \bullet \) $75

The correct answer is **$75**.
Transcribed Image Text:### Calculating Interest Expense Accrued on a Note Payable On December 1, Victoria Company signed a 90-day, 6% note payable, with a face value of $15,000. To determine the amount of interest expense accrued at December 31 on the note, consider the following: #### Formula for Interest Calculation \[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \] Where: - Principal is the face value of the note. - Rate is the annual interest rate. - Time is the portion of the year the interest is accrued. (Use 360 days a year for the calculation, not 365.) #### Given Data - Principal (P): $15,000 - Annual Interest Rate (R): 6% - Time (T): 30 days (from December 1 to December 31 since it's a 90-day note and we are calculating for one month). #### Calculation 1. Convert the annual rate to a daily rate: \[ \text{Daily Rate} = \frac{6\%}{360} = 0.01667\% \] 2. Calculate the interest for 30 days: \[ \text{Interest} = P \times R \times T \] \[ \text {Interest} = 15,000 \times \frac{6}{100} \times \frac{30}{360} \] \[ \text {Interest} = 15,000 \times 0.06 \times \frac{1}{12} \] \[ \text {Interest} = 15,000 \times 0.005 \] \[ \text {Interest} = 75 \] #### Multiple Choice Question What amount of interest expense is accrued at December 31 on the note? - \( \circ \) $225 - \( \circ \) $300 - \( \circ \) $900 - \( \circ \) $0 - \( \bullet \) $75 The correct answer is **$75**.
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