https://file.aiquickdraw.com/mathbot/file/1726354569937jdbq0080.jpg

The image you uploaded contains a formula related to successive discounts ("Descuentos Sucesivos"). The text explains how to calculate the **single equivalent discount** \( D_u \) from two consecutive discounts \( D_1 \) and \( D_2 \). The formula is:

\[
D_u = D_1 + D_2 - \frac{D_1 \cdot D_2}{100}
\]

### Explanation:

1. **\( D_1 \)**: The first discount in percentage.
2. **\( D_2 \)**: The second discount in percentage.
3. **\( D_u \)**: The single equivalent discount (the overall effect of applying both discounts successively).

This formula helps combine two successive discounts into one equivalent discount, showing the cumulative effect in percentage. The term \( \frac{D_1 \cdot D_2}{100} \) adjusts for the fact that the second discount is applied to a reduced price after the first discount.

Would you like more details, or do you have any questions?

### Relative Questions:
1. What happens if both discounts are the same? Does \( D_u \) change significantly?
2. How does the formula apply when one of the discounts is zero?
3. Can you derive this formula from first principles?
4. How does this formula generalize to more than two discounts?
5. What is the impact of small versus large discounts when applied successively?

### Tip:
When calculating successive discounts, remember that the second discount applies to the already reduced price, not the original price!

How do you calculate the single equivalent discount from two consecutive discounts?

Learn how to calculate the single equivalent discount when applying two consecutive discounts using the formula D_u = D_1 + D_2 - (D_1 * D_2) / 100. Understand the process and the impact of successive discounting. Suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation