To calculate how much Kimberly will have in total in 6 months using the formula \( i = prt \), we first need to identify the relevant values:
- \( p \) (the principal) = $94,682
- \( r \) (the interest rate as a decimal) = 5% = 0.05
- \( t \) (the time in years) = 6 months = 0.5 years
Now we can calculate the interest earned (\( i \)):
\[ i = p \cdot r \cdot t \]
Substituting the values:
\[ i = 94,682 \cdot 0.05 \cdot 0.5 \]
Calculating it step-by-step:
- Calculate \( 0.05 \cdot 0.5 = 0.025 \)
- Then, calculate \( 94,682 \cdot 0.025 = 2,367.05 \)
So, the interest earned in 6 months is $2,367.05.
Now, to find the total amount in the account after 6 months, we add the interest earned to the principal:
\[ \text{Total} = p + i = 94,682 + 2,367.05 = 97,049.05 \]
Thus, Kimberly will have a total of $97,049.05 in her savings account after 6 months.