To calculate the simple interest earned over a period of time, you can use the formula:
\[ I = P \times r \times t \]
where:
- \(I\) = interest earned
- \(P\) = principal amount (initial deposit)
- \(r\) = interest rate (as a decimal)
- \(t\) = time in years
In this case:
- \(P = 2000\)
- \(r = 1.2% = 0.012\)
- \(t = 10\)
Now, plug the values into the formula:
\[ I = 2000 \times 0.012 \times 10 \]
\[ I = 2000 \times 0.12 \]
\[ I = 240 \]
So, Rachel will earn $240 in interest over 10 years.