To solve the problem of finding the final price of an MP3 player after applying a 52% discount to its original price of $150.00, follow these steps:
1. Determine the amount of the discount:
- The original price of the MP3 player is $150.00.
- The discount percentage is 52%.
- To find the amount of the discount, multiply the original price by the discount percentage (expressed as a decimal).
[tex]\[
\text{Discount Amount} = 150.00 \times \left(\frac{52}{100}\right)
\][/tex]
[tex]\[
\text{Discount Amount} = 150.00 \times 0.52
\][/tex]
[tex]\[
\text{Discount Amount} = 78.00
\][/tex]
So, the discount amount is $78.00.
2. Calculate the new price after discount:
- Subtract the discount amount from the original price to find the final price.
[tex]\[
\text{Discounted Price} = 150.00 - 78.00
\][/tex]
[tex]\[
\text{Discounted Price} = 72.00
\][/tex]
The new price of the MP3 player after applying the 52% discount is $72.00.
In conclusion, the discount amount is [tex]$78.00, and the discounted price of the MP3 player is $[/tex]72.00.
