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.