**Find the net cost equivalent for the following discount.**

5/5/40/10

A.

0.30000

B.

0.70000

C.

0.48735

D.

0.51265

To find the net cost equivalent for a series of discounts like **5/5/40/10**, we apply each discount consecutively to the original price.

1. Start with 100% (or 1.00 as the full price).
2. Apply the first discount of 5%:  
   \[ \text{Remaining} = 1 - 0.05 = 0.95 \]
3. Apply the second discount of 5%:  
   \[ \text{Remaining} = 0.95 \times (1 - 0.05) = 0.95 \times 0.95 = 0.9025 \]
4. Apply the third discount of 40%:  
   \[ \text{Remaining} = 0.9025 \times (1 - 0.40) = 0.9025 \times 0.60 = 0.5415 \]
5. Apply the fourth discount of 10%:  
   \[ \text{Remaining} = 0.5415 \times (1 - 0.10) = 0.5415 \times 0.90 = 0.48735 \]

Thus, the net cost equivalent is **0.48735**.

### Correct answer:  
**C. 0.48735**

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Would you like more details or have any questions?

Here are 5 related questions:
1. How do you apply consecutive discounts step by step?
2. What is the formula for calculating multiple discounts?
3. Can you convert a percentage discount into a decimal form?
4. How would the final price change if the order of discounts were different?
5. How do compound discounts differ from a single equivalent discount?

**Tip:** Always apply larger discounts later to get the most accurate reduction on a smaller remaining amount.

Find the net cost equivalent for the following discount: 5/5/40/10

Learn how to calculate the net cost equivalent for multiple discounts of 5%, 5%, 40%, and 10%. This step-by-step guide uses the compound percentage formula to find that the net cost is 0.48735. Ideal for students in Grades 9-12.

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