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A camera has a listed price of 529.98 before tax. If the sales tax rate is 6.5% , find the total cost of the camera with sales tax included.

Round your answer to the nearest cent, as necessary.

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Final answer:

The total cost of the camera with a 6.5% sales tax is $564.43, after rounding the calculated sales tax of $34.4487 to the nearest cent.

Step-by-step explanation:

To calculate the total cost of the camera with sales tax included, we must first determine the amount of sales tax that will be added to the listed price of $529.98. The sales tax rate is given as 6.5%. To find the sales tax, we convert the percent to a decimal by dividing by 100, resulting in 0.065. Then, we multiply this decimal by the listed price to get the sales tax amount:

Sales tax = Listed price × Sales tax rate

Sales tax = $529.98 × 0.065

Sales tax = $34.448

Since we need to round to the nearest cent, the sales tax rounds to $34.45. To find the total cost, we add the sales tax to the original price of the camera:

Total cost = Listed price + Sales tax

Total cost = $529.98 + $34.45

Total cost = $564.43

Therefore, the total cost of the camera with sales tax included is $564.43.

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