Answer :

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.

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