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The discount on a new stereo was $180$⁢180. This was a discount of 18%18%.Step 3 of 3 :  What would a customer pay for the stereo if a 5%5% sales tax was added to the sale price? Follow the problem-solving process and round your answer to the nearest cent, if necessary.

Question

The discount on a new stereo was 180180⁢180. This was a discount of 18%18%.Step 3 of 3 :  What would a customer pay for the stereo if a 5%5% sales tax was added to the sale price? Follow the problem-solving process and round your answer to the nearest cent, if necessary.

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Solution

Step 1: Find the original price of the stereo

The discount was 18% of the original price. So, we can set up the equation:

0.18 * Original Price = $180

Solving for Original Price gives us:

Original Price = 180/0.18=180 / 0.18 = 1000

Step 2: Find the sale price of the stereo

The sale price would be the original price minus the discount. So:

Sale Price = Original Price - Discount = 10001000 - 180 = $820

Step 3: Calculate the final price with sales tax

The final price would be the sale price plus the 5% sales tax. So:

Final Price = Sale Price + (Sale Price * Sales Tax) = 820+(820 + (820 * 0.05) = 820+820 + 41 = $861

So, a customer would pay $861 for the stereo if a 5% sales tax was added to the sale price.

This problem has been solved

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