To calculate the interest earned using the formula \( i = prt \), we first need to identify the values of \( p \), \( r \), and \( t \):
- \( p = 97,905 \) (the principal amount),
- \( r = 2% = \frac{2}{100} = 0.02 \) (the interest rate expressed as a decimal),
- \( t = \frac{8}{12} = \frac{2}{3} \) (the time in years, since 8 months is \(\frac{8}{12}\) of a year).
Now, we can substitute these values into the formula:
\[ i = prt = 97,905 \times 0.02 \times \frac{2}{3} \]
Calculating this step by step:
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Calculate \( 97,905 \times 0.02 \): \[ 97,905 \times 0.02 = 1,958.10 \]
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Now multiply this result by \(\frac{2}{3}\): \[ 1,958.10 \times \frac{2}{3} = 1,312.07 \]
Therefore, the interest earned in 8 months is approximately $1,312.07.