Including a 6% sales tax, a new television costs $492.9. Find the cost of the television before tax.
Solve for p
y p-e = 3 j
Solve for p
y p-e = 3 j
To find the cost of the television before tax, we need to determine the original price of the television.
Let's assume the original price of the television is x.
We know that the sales tax rate is 6%, which can be written as 0.06 in decimal form.
The total cost of the television after including the sales tax can be calculated by adding the original price and the tax amount:
Total cost = Original price + (Original price * Tax rate)
$492.9 = x + (x * 0.06)
Now, we can solve this equation to find the value of x.
First, distribute the 0.06 to the x:
$492.9 = x + 0.06x
Combine like terms:
$492.9 = 1.06x
To isolate x, divide both sides of the equation by 1.06:
$492.9 / 1.06 = x
Calculating this, we find that the cost of the television before tax is approximately $464.34.