Final answer:
The correct answer is option D. To determine which account has the greater principal, we need to compare the interest earned in each account. Since we don't have the interest rates for both accounts, we cannot determine which account has the greater principal.
Step-by-step explanation:
To determine which account has the greater principal, we need to compare the interest earned in each account. Let's assume Account A has a principal amount of 'P' and Account B has a principal amount of 'Q'. According to the given information, Dakota earned $6.25 in interest in Account A and $15.00 in interest in Account B. We can use the formula for simple interest: I = P * R * T, where I is the interest, P is the principal, R is the interest rate, and T is the time.
For Account A, I = 6.25, R = unknown, and T = 15/12 (since 15 months is equal to 15/12 years). Therefore, the equation becomes 6.25 = P * R * (15/12).
For Account B, I = 15.00, R = unknown, and T = 15/12. Therefore, the equation becomes 15.00 = Q * R * (15/12).
Since we have two equations and two unknowns, we can solve for P and Q using the system of equations. However, without the interest rates (R) for each account, we cannot determine which account has the greater principal. Therefore, the correct option is D) Cannot be determined with the given information.