1. **State the problem:** Calculate the total value of an investment of 5872 in a 182-day T-bill for two consecutive years, 2024 at 28.88% interest rate and 2025 at 12.52% interest rate, as of today. 2. **Formula used:** The formula for compound interest is: $$ A = P \times \left(1 + \frac{r}{n}\right)^{nt} $$ where: - $A$ is the amount of money accumulated after $t$ years, including interest. - $P$ is the principal amount (initial investment). - $r$ is the annual interest rate (decimal). - $n$ is the number of times interest applied per year. - $t$ is the time the money is invested for in years. Since T-bills are typically simple interest for the period, we will calculate interest for each 182-day period separately and then sum. 3. **Calculate interest for 2024:** - Principal $P = 5872$ - Rate $r = 28.88\% = 0.2888$ - Time $t = \frac{182}{365} = 0.4986$ years (approx) Interest for 2024: $$ I_{2024} = P \times r \times t = 5872 \times 0.2888 \times 0.4986 $$ Calculate: $$ I_{2024} = 5872 \times 0.2888 \times 0.4986 = 845.68 $$ 4. **Calculate amount after 2024:** $$ A_{2024} = P + I_{2024} = 5872 + 845.68 = 6717.68 $$ 5. **Calculate interest for 2025:** - New principal $P = 6717.68$ - Rate $r = 12.52\% = 0.1252$ - Time $t = 0.4986$ years Interest for 2025: $$ I_{2025} = 6717.68 \times 0.1252 \times 0.4986 $$ Calculate: $$ I_{2025} = 6717.68 \times 0.1252 \times 0.4986 = 419.44 $$ 6. **Calculate total amount after 2025:** $$ A_{2025} = 6717.68 + 419.44 = 7137.12 $$ **Final answer:** The total value as of today is approximately **7137.12**.