Final answer:
The total amount of the investment after 10 years when $6000 is compounded annually at a rate of 3% is approximately $8053.04. The correct answer is not listed in the provided options.
Step-by-step explanation:
The student is interested in finding the total amount of an investment after 10 years, where the original sum of $6000 is invested at a compound interest rate of 3% per annum. To solve this, we use the formula for compound interest A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial sum of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.
In this case, since interest is compounded annually, n is 1. Thus, A = 6000(1 + 0.03/1)^(1*10).
Calculating this, we have A = 6000(1.03)^10, which equals approximately $8053.04. Therefore, the correct option that represents the total amount of the investment after 10 years to the nearest cent is not listed among the provided options.