
Calculate the net price factor and net price (in dollars). For convenience, round the net price factor to five decimal places and the net price to the nearest cent, when necessary.
List Price	Trade Discount Rate	Net Price Factor	Net Price
$495.20	22/15/5	  
Incorrect: Your answer is incorrect.
$   
Incorrect: Your answer is incorrect.


To calculate the **Net Price Factor** and the **Net Price**, you can follow these steps:

### Given dataTo calculate the **Net Price Factor** and the **Net Price**, you can follow these steps:

### Given 
- **List Price**: $495.20
- **Trade Discount Rate**: 22/15/5 (this means three successive discounts of 22%, 15%, and 5%)

### Step 1: Calculate the Net Price Factor

The Net Price Factor is calculated by applying each of the trade discounts successively.

- First, subtract each discount percentage from 100% to get the complement:
  - $ 100\% - 22\% = 78\% $ or 0.78
  - $ 100\% - 15\% = 85\% $ or 0.85
  - $ 100\% - 5\% = 95\% $ or 0.95

- Now, multiply the complements of the discounts to get the Net Price Factor:
  \[
  \text{Net Price Factor} = 0.78 \times 0.85 \times 0.95
  \]
  
Let's calculate this:

\[
\text{Net Price Factor} = 0.78 \times 0.85 \times 0.95 = 0.62955
\]

Rounded to five decimal places, the **Net Price Factor** is **0.62955**.

### Step 2: Calculate the Net Price

The Net Price is calculated by multiplying the List Price by the Net Price Factor.

\[
\text{Net Price} = \text{List Price} \times \text{Net Price Factor}
\]
\[
\text{Net Price} = 495.20 \times 0.62955 = 311.82
\]

Rounded to the nearest cent, the **Net Price** is **$311.82**.

### Final Answers:
- **Net Price Factor**: 0.62955
- **Net Price**: $311.82

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Do you need more details or have any questions about the calculation?

Here are 5 related questions:
1. How do multiple trade discounts affect the net price?
2. What is the formula to convert a percentage discount to a decimal factor?
3. How would the net price change if one of the trade discounts increased?
4. Can you explain the importance of the complement method in calculating the net price factor?
5. How would you calculate the net price if the trade discounts were applied one at a time instead of successively?

**Tip:** When working with multiple trade discounts, always convert each percentage to its decimal equivalent by dividing by 100.

Calculate the net price factor and net price (in dollars). For convenience, round the net price factor to five decimal places and the net price to the nearest cent, when necessary. List Price: $495.20, Trade Discount Rate: 22/15/5.

Learn how to calculate the net price factor and the net price for a list price of $495.20 with successive trade discounts of 22%, 15%, and 5%. Detailed steps include multiplying the complements of each discount and rounding to the nearest cent. Ideal for Grades 9-12.

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