Final answer:
The question is about determining the effective annual interest rate for a loan of $2,000 which is repaid in 12 monthly installments at $170.30 each, and it falls under high school level mathematics in the category of financial mathematics.
Step-by-step explanation:
The subject of this question is mathematics, specifically dealing with financial mathematics and interest rates. The student asks about the effective annual interest rate when borrowing a sum of $2,000, to be repaid in 12 monthly installments of $170.30. To determine which of the multiple-choice options given (0.0040%, 4.0750%, 4,0000%, or 0.3334%) represents the effective annual interest rate, one would typically use the formula for the payment of an annuity or financial calculators.
Without performing complete calculations, the option that seems most reasonable given the payments and loan amount is option b, 4.0750%. Options a and d correspond to rates that are too low considering the overall repayments, and option c is excessively high. The nature of the question can be categorized into financial mathematics, a subdivision of mathematics dedicated to dealing with issues related to money, loans, investments, and interest rates.