To calculate the simple interest, we will use the formula:
INT = Principal * Annual Interest Rate * Time (Years)
Here, the principal is $3000, the annual interest rate is 7% (or 0.07 when expressed as a decimal), and the time in years is 2. Plugging these values into the formula, we get:
INT = 3000 * 0.07 * 2
This gives us the simple interest, which turns out to be $420.
Next, we want to find the future value of the investment at the end of the 2 years. We can find this by adding the simple interest we calculated to the original principal amount. This can be formulated as:
FV = Principal + INT
FV = 3000 + 420
This gives us a future value of $3420.
So, after 2 years, the interest earned is $420 and the total amount of money you will have is $3420.