To calculate the simple interest for a principal amount of $10,000 at an interest rate of 9% per annum over a duration of 1 year, you can use the formula for simple interest:
\[ \text{Simple Interest} = P \times r \times t \]
Where:
- \( P \) = principal amount ($10,000)
- \( r \) = rate of interest (9% or 0.09)
- \( t \) = time (1 year)
Now substituting the values into the formula:
\[ \text{Simple Interest} = 10000 \times 0.09 \times 1 = 900 \]
Therefore, the simple interest earned over 1 year would be $900.
If you want to find the total amount after 1 year:
\[ \text{Total Amount} = P + \text{Simple Interest} \] \[ \text{Total Amount} = 10000 + 900 = 10900 \]
Thus, the total amount after 1 year would be $10,900.