The price of a new car is 42,500. if there is sale for 6.5 percent off then how much is the discount ? what is the total cost for the car before sales tax ? explain

6.5% is $2,762.50 off of the cost making the total before sales tax $39,737.50.

Step-by-step explanation:

The original price of the car is $42,500. A discount of 6.5% off can be found by converting 6.5 into decimal form as 0.065 and multiplying it by the price.

42,500(0.065)=2,762.5

This is the amount of dollars off the original price. We find the new discounted price by subtracting the discount from the original price.

42,500-2,762.5=39.737.5

Explanation:

I think about the Golden Gate Bridge, which is a suspension bridge.

As in any suspension bridge, a long cable is supported by two large supports.

The cable falls from a support, in the form of a curve concave upwards, to a minimum point that is the vertex of the parabola, through which the axis of symmetry passes, and curves again upwards to ascend to the upper end of the other support.

As a unique feature of this parabolic arc you can tell that the the concavity is upward; the parabola open upward.

Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.

The symmetry is clear because to the curve to the left of the vertex is a mirror image of the curve to the right of the vertex.