To calculate the interest earned, we can use the formula \( i = prt \).
Where:
- \( i \) = interest earned
- \( p \) = principal (starting amount) = $100,000
- \( r \) = interest rate (as a decimal) = 3.8% = 0.038
- \( t \) = time in years = 3 years
Now, substituting the values into the formula:
\[ i = 100,000 \times 0.038 \times 3 \]
Calculating it step by step:
\[ i = 100,000 \times 0.038 = 3,800 \] \[ i = 3,800 \times 3 = 11,400 \]
Thus, the total interest earned in 3 years is:
\[ \boxed{11,400} \]