Math Snap

STEP 1

Assumptions1. The original price of the car is $49,600. The price is decreased by6%

STEP 2

First, we need to express the decrease in price as a percentage of the original price. This is done by subtracting the percentage decrease from100%.
$$New\, price\, percentage =100\% - Decrease\, percentage$$

STEP 3

Now, plug in the given value for the decrease percentage to calculate the new price percentage.
$$New\, price\, percentage =100\% -6\%$$

STEP 4

Calculate the new price percentage.
$$New\, price\, percentage =100\% -6\% =94\%$$

STEP 5

Convert the percentage to a decimal value.
$$94\% =0.94$$So, the new price is0.94 times the original price.

STEP 6

Now, we can use the new price percentage to calculate the new price of the car. This is done by multiplying the original price by the new price percentage.
$$New\, price = Original\, price \\times New\, price\, percentage$$

STEP 7

Plug in the values for the original price and the new price percentage to calculate the new price.
New\, price = \($\)49,600 \\times0.94

Calculate the new price of the car.
New\, price = \($\)49,600 \\times0.94 = \($\)46,624The new price of the car is $46,624.