On June 8, Williams Company issued an $75,972, 6%, 120-day no required, round your answer to the nearest dollar.

FINANCIAL ACCOUNTING
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ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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**Problem Statement:**

On June 8, Williams Company issued a $75,972, 6%, 120-day note payable to Brown Industries. Assuming a 360-day year, what is the maturity value of the note? When required, round your answer to the nearest dollar.

**Options:**

- a. $75,972
- b. $77,491
- c. $80,530
- d. $4,558

**Solution Explanation:**

To calculate the maturity value of the note, use the formula for the maturity value of a simple interest note:

\[ \text{Maturity Value} = \text{Principal} + \text{Interest} \]

First, calculate the interest:
- Principal = $75,972
- Rate = 6% per annum
- Time = 120 days

Convert the time to years by dividing by 360 (as per assumption of a 360-day year):
\[ \text{Time in years} = \frac{120}{360} = \frac{1}{3} \]

Now, calculate the interest:
\[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time in years} \]
\[ \text{Interest} = 75,972 \times 0.06 \times \frac{1}{3} \]
\[ \text{Interest} = 1,519.44 \]

Next, calculate the maturity value:
\[ \text{Maturity Value} = 75,972 + 1,519.44 \]
\[ \text{Maturity Value} = 77,491.44 \]

Rounded to the nearest dollar, the maturity value is:
\[ \text{Maturity Value} = \boxed{77,491} \]

Therefore, the correct option is **b. $77,491**.
Transcribed Image Text:**Problem Statement:** On June 8, Williams Company issued a $75,972, 6%, 120-day note payable to Brown Industries. Assuming a 360-day year, what is the maturity value of the note? When required, round your answer to the nearest dollar. **Options:** - a. $75,972 - b. $77,491 - c. $80,530 - d. $4,558 **Solution Explanation:** To calculate the maturity value of the note, use the formula for the maturity value of a simple interest note: \[ \text{Maturity Value} = \text{Principal} + \text{Interest} \] First, calculate the interest: - Principal = $75,972 - Rate = 6% per annum - Time = 120 days Convert the time to years by dividing by 360 (as per assumption of a 360-day year): \[ \text{Time in years} = \frac{120}{360} = \frac{1}{3} \] Now, calculate the interest: \[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time in years} \] \[ \text{Interest} = 75,972 \times 0.06 \times \frac{1}{3} \] \[ \text{Interest} = 1,519.44 \] Next, calculate the maturity value: \[ \text{Maturity Value} = 75,972 + 1,519.44 \] \[ \text{Maturity Value} = 77,491.44 \] Rounded to the nearest dollar, the maturity value is: \[ \text{Maturity Value} = \boxed{77,491} \] Therefore, the correct option is **b. $77,491**.
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