To find the simple interest due, use the formula for simple interest I = P \cdot r \cdot t where \(P\) is the principal amount, \(r\) is the rate of interest per year, and \(t\) is the time in years.
Here, \(P = \$850\), \(r = 0.09\) (which is 9%), and \(t = \frac{6}{12}\) years or 0.5 years:
1. Compute the time in years: t = \frac{6}{12} = 0.5
2. Substitute the values into the formula:
I = 850 \cdot 0.09 \cdot 0.5
3. Calculate the interest:
I = 38.25
Therefore, the amount of interest due is \$38.25.