Final answer:
The correct answer is option a. $500.00.The price of the television set before taxes, with a tax rate of 6% added to reach a total cost of $530.00, is $500.00.
Step-by-step explanation:
The correct answer is option a. $500.00. To find the price of the television set before taxes, you need to subtract the tax from the total amount paid. Knowing that the total cost, including tax, is $530.00 and the tax rate is 6%, you can calculate the original price (let's call it P) by using the equation P + 0.06P = $530.00, which simplifies to 1.06P = $530.00. Dividing both sides by 1.06 gives P = $500.00. Therefore, the price of the television set before taxes was $500.00.
To find the price of the television set before taxes, we need to divide the total price including tax by 1 plus the tax rate. In this case, the tax rate is 6%, so we divide $530 by 1.06:
$530 / 1.06 = $500.00
Therefore, the price of the television set before taxes is $500.00.