To calculate the amount of interest owed by Darius after 6 months using the formula for simple interest \( I = Prt \), we need to identify the values for \( P \), \( r \), and \( t \):
- \( P = 500 \) (the principal amount or the amount borrowed)
- \( r = 5.6% = 0.056 \) (the annual interest rate as a decimal)
- \( t = \frac{6}{12} = 0.5 \) (the time in years since 6 months is half a year)
Now we can substitute these values into the formula:
\[ I = Prt = 500 \times 0.056 \times 0.5 \]
Calculating each part step by step:
- \( 500 \times 0.056 = 28 \)
- \( 28 \times 0.5 = 14 \)
Thus, the amount of interest owed by Darius after 6 months is \( \boxed{14} \) dollars.
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