To calculate the interest earned in one year on a simple interest basis, you can use the formula:
\[ I = P \times r \times t \]
where:
- \(I\) is the interest earned,
- \(P\) is the principal amount (initial deposit),
- \(r\) is the annual interest rate (in decimal form),
- \(t\) is the time in years.
Given:
- \(P = 40\) (the principal amount),
- \(r = 10% = 0.10\) (the interest rate),
- \(t = 1\) (for one year).
Now, let's plug in the values:
\[ I = 40 \times 0.10 \times 1 \]
Calculating that:
\[ I = 40 \times 0.10 = 4 \]
So, the interest earned during any one of the years the money is deposited is \($4\).