A TV has a listed price of $578.98 before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.

$626.75

Step-by-step explanation:

First, we must find how much tax will be added to the TV's price:

Step 1: Convert the percentage to a decimal:

To convert a percentage to a decimal, divide it by 100

8.25/100 = 0.0825

Step 2: Multiply the TV's price by that decimal:

578.98 * 0.0825 = 47.76585

So $47.76585 will be added to the price

Now, we can calculate the total price:

Step 3: Add the tax we jsut calculated to the TV's price to find total price:

578.98 + 47.76585

= 626.74585

Step 4: Round to the nearest cent (2 decimal places)

626.75

So the total price is $626.75

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

step-by-step explanation: