Simple interest can be calculated using the formula:
\[ \text{Simple Interest} = P \times r \times t \]
where:
- \( P \) is the principal amount (the initial investment),
- \( r \) is the annual interest rate (in decimal),
- \( t \) is the time the money is invested for (in years).
In your case:
- \( P = 100,000 \) (the investment),
- \( r = 12% = 0.12 \),
- \( t = 6 \text{ months} = 0.5 \text{ years} \).
Now, plug the values into the formula:
\[ \text{Simple Interest} = 100,000 \times 0.12 \times 0.5 \]
Calculating this gives:
\[ \text{Simple Interest} = 100,000 \times 0.12 \times 0.5 = 100,000 \times 0.06 = 6,000 \]
So, the simple interest on a $100,000 investment at an interest rate of 12% per year after 6 months is $6,000.