A CD usually sells for $16.00. If the CD is 30% off, and sales tax is 8%, what is the total price of the CD, including tax?
13.82
To find the total price of the CD, including tax, we need to calculate the discounted price first, and then add the tax.
Step 1: Calculate the discounted price of the CD.
The CD is 30% off, which means you will pay 70% of the original price.
Discounted price = Original price - (Discount percentage * Original price)
Discounted price = $16.00 - (0.30 * $16.00)
Discounted price = $16.00 - $4.80
Discounted price = $11.20
Step 2: Calculate the amount of tax.
The tax is 8% of the discounted price.
Tax amount = Tax rate * Discounted price
Tax amount = 0.08 * $11.20
Tax amount = $0.896 (rounded to two decimal places)
Step 3: Calculate the total price of the CD, including tax.
Total price = Discounted price + Tax amount
Total price = $11.20 + $0.896
Total price = $12.096 (rounded to two decimal places)
Therefore, the total price of the CD, including tax, is $12.10.
To find the total price of the CD, we need to calculate both the discounted price and the sales tax. Here's how you can solve the problem step by step:
1. Calculate the discount amount: The CD is 30% off, which means we need to find 30% of the original price ($16.00).
- To get the discount amount, multiply 30% (or 0.30 as a decimal) by $16.00: $16.00 * 0.30 = $4.80.
- So, the discount amount is $4.80.
2. Subtract the discount amount from the original price to get the discounted price:
- Subtract $4.80 from $16.00: $16.00 - $4.80 = $11.20.
- The discounted price of the CD is $11.20.
3. Calculate the sales tax amount: The sales tax is 8% of the discounted price.
- To get the tax amount, multiply 8% (or 0.08 as a decimal) by $11.20: $11.20 * 0.08 = $0.896.
- So, the sales tax amount is $0.896.
4. Add the discounted price and the sales tax amount to get the total price:
- Add $11.20 (discounted price) and $0.896 (sales tax): $11.20 + $0.896 = $12.096.
- Round the total price to the nearest cent (two decimal places): $12.10.
Therefore, the total price of the CD, including tax, is $12.10.