Certainly! Let's go through the process of determining the percentage decrease step-by-step.
1. Determine the original and new prices:
- Original price: $13
- New price: $10
2. Calculate the decrease in price:
- Decrease \( = \text{Original price} - \text{New price} \)
- Decrease \( = 13 - 10 \)
- Decrease \( = 3 \)
3. Calculate the percentage decrease:
- Percentage decrease \( = \left(\frac{\text{Decrease}}{\text{Original price}}\right) \times 100 \)
- Percentage decrease \( = \left(\frac{3}{13}\right) \times 100 \)
4. Obtain the numerical value for the percentage decrease:
- Percentage decrease \( \approx 23.076923076923077 \)
5. Round the percentage decrease to 3 decimal places:
- Rounded percentage decrease \( = 23.077 \)
Putting it all together, the percentage decrease, rounded to 3 decimal places, is [tex]\( \textbf{23.077} \)[/tex].
