Final answer:
Using the formula for simple interest, I = P * r * t, for a $4500 deposit at a 2% annual interest rate over 6 years, the interest earned is $540. Adding this to the principal gives a total of $5040 at the beginning of the 7th year. The correct answer is (C) $5040.
Step-by-step explanation:
If you deposit $4500 in an account that earns 2% per year simple interest, to find out how much you will have in the account at the beginning of the 7th year, you can use the formula for simple interest:
I = P × r × t
where I is the interest, P is the principal amount deposited, r is the annual interest rate, and t is the time in years. Using the given information, we have:
P = $4500
r = 2% or 0.02
t = 6 years (since we want the value at the beginning of the 7th year)
The interest thus is:
I = $4500 × 0.02 × 6 = $540
To find the total amount, add the interest to the principal:
Total Amount = Principal + Interest
= $4500 + $540 = $5040
Therefore, rounding this amount to the nearest dollar, you would have $5040 in your account at the beginning of the 7th year. The correct answer is (C) $5040.