To calculate simple interest, you can use the formula:
\[ \text{Simple Interest} = P \times r \times t \]
where:
- \( P \) is the principal amount (initial investment),
- \( r \) is the rate of interest (as a decimal),
- \( t \) is the time (in years).
In your case:
- \( P = 10,000 \)
- \( r = 9% = 0.09 \)
- \( t = 1 \) year
Now, substituting the values into the formula:
\[ \text{Simple Interest} = 10,000 \times 0.09 \times 1 \] \[ \text{Simple Interest} = 10,000 \times 0.09 = 900 \]
So, the simple interest earned in one year would be $900.
If you want to find the total amount (the initial investment plus interest) after one year:
\[ \text{Total Amount} = P + \text{Simple Interest} = 10,000 + 900 = 10,900 \]
Thus, the total amount after one year will be $10,900.
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