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Luis wants to buy a skateboard that usually sells for $79.28. All merchandise is discounted by 12%. What is the total cost of the skateboard If Luis has to pay a state sales tax of 8.25%. Round your intermediate calculations and answer to the nearest cent.​

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Answer:

The discount on the skateboard is 12% of its original price, so the discounted price is:

Discounted price = $79.28 - 0.12($79.28) = $69.78

Now we need to calculate the sales tax on the discounted price. The sales tax rate is 8.25%, so the amount of sales tax is:

Sales tax = 0.0825($69.78) = $5.76

Adding the discounted price and the sales tax, we get the total cost of the skateboard:

Total cost = $69.78 + $5.76 = $75.54

Therefore, the total cost of the skateboard, including the discount and sales tax, is $75.54.

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