Final answer:
The calculation involves using the compound interest formula to find the future value of a $26,500 investment at 3.65% interest compounded daily for 2 years.
Step-by-step explanation:
The subject of this question is Mathematics, specifically it involves the concept of compound interest, which is part of the financial mathematics curriculum often taught at the high school level. To calculate the future value of an investment with compound interest, we use the formula Future Value = Principal * (1 + (Interest Rate/Number of times compounded per year))^(Number of times compounded per year*Number of years).
In this case, an investment of $26,500 is compounded daily at an annual interest rate of 3.65% for 2 years. Assuming there are 365 days in a year, the number of times the interest is compounded per year is 365. Thus, the formula for this investment becomes:
Future Value = 26,500 * (1 + (0.0365/365))^(365*2)
Using a calculator, we can determine the future value and match it with the correct answer option.