1. The problem is to simplify the expression: $$250 \left( 1 + 0.12 \times \frac{292}{365} \right)$$ 2. This expression represents a principal amount multiplied by one plus the product of an interest rate and a fraction of the year. 3. First, calculate the fraction inside the parentheses: $$0.12 \times \frac{292}{365}$$ 4. Calculate the fraction: $$\frac{292}{365} \approx 0.8000$$ 5. Multiply by 0.12: $$0.12 \times 0.8000 = 0.096$$ 6. Add 1 to this result: $$1 + 0.096 = 1.096$$ 7. Finally, multiply by 250: $$250 \times 1.096 = 274$$ So, the simplified value is **274**.