To calculate the interest Lillian will earn in 6 months using the formula \( i = prt \), we need to identify the values for \( p \), \( r \), and \( t \).
- \( p = 38,800 \) (the principal amount)
- \( r = 6% = 0.06 \) (the interest rate expressed as a decimal)
- \( t = 6 \text{ months} = \frac{6}{12} \text{ years} = 0.5 \text{ years} \)
Now we can plug these values into the formula:
\[ i = prt \] \[ i = 38,800 \times 0.06 \times 0.5 \]
Now, calculate the interest:
\[ i = 38,800 \times 0.06 = 2,328 \] \[ i = 2,328 \times 0.5 = 1,164 \]
So, the interest Lillian will earn in 6 months is $1,164.