Final answer:
The correct option is A). Troy will earn $12 in simple interest at the end of the year on a $400 deposit with a 3% interest rate.
Step-by-step explanation:
To calculate the simple interest Troy will earn at the end of the year on his $400 deposit with a 3% interest rate, we use the formula for simple interest: I = P × r × t, where I is the interest earned, P is the principal amount deposited, r is the annual interest rate (expressed as a decimal), and t is the time the money is invested for in years. In this case, P is $400, r is 0.03 (3% expressed as a decimal), and t is 1 year since it's for the end of the year.
So the calculation would be:
$400 × 0.03 × 1 = $12
Therefore, Troy will earn $12 in simple interest at the end of the year.