To calculate the amount of interest the company will pay on the loan, we can use the formula you provided:
\[ \text{Interest} = \left( \frac{\text{number of months}}{12} \right) \times \left( \text{interest percentage} \times \text{loan amount} \right) \]
Given:
- Number of months = 6
- Interest percentage = 10% (or 0.10 when expressed as a decimal)
- Loan amount = $1,000
Plugging in the values:
\[ \text{Interest} = \left( \frac{6}{12} \right) \times \left( 0.10 \times 1000 \right) \]
First, calculate \( \frac{6}{12} \):
\[ \frac{6}{12} = 0.5 \]
Next, calculate \( 0.10 \times 1000 \):
\[ 0.10 \times 1000 = 100 \]
Now, substitute these values back into the equation:
\[ \text{Interest} = 0.5 \times 100 = 50 \]
Thus, the company will pay $50 in interest over the 6-month period.