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A car dealership decreased the price of a certain car by 4%. The original price was
$45,400.
(a) Fill in the blank to write the new price in terms of the original price.
New Price = ? x Original price.

(b) Use your answer in part (a) to determine the new price.
New price $?

Respuesta :

Answer:

(a) [tex]\text{New Price}=0.96\times \text{Original Price}[/tex]

(b) The new price of car is $43584.

Step-by-step explanation:'

(a)

The original price of car is $45400.

It is given that the car dealership decreased the price of a certain car by 4%.

[tex]\text{New Price}=\text{Original Price}-\frac{4}{100}\times \text{Original Price}[/tex]

[tex]\text{New Price}=(1-\frac{4}{100})\times \text{Original Price}[/tex]

[tex]\text{New Price}=\frac{96}{100}\times \text{Original Price}[/tex]\

[tex]\text{New Price}=0.96\times \text{Original Price}[/tex]

(b)

Using part (a), we get

[tex]\text{New Price}=0.96\times \text{45400}[/tex]

[tex]\text{New Price}=43584[/tex]

Therefore the new price of car is $43584.

MrRoyal

The formula for the new price is New Price = 0.96 x 45400, while the value of the new price of the car is $43,584

The formula for the new price

From the question, we have:

Original price = $45,400

Rate decreased = 4%

The new price would be calculated using:

New Price = (1 - Rate) x Original price.

So, we have:

New Price = (1 - 4%) x Original price

Express the percentage as decimal

New Price = (1 - 0.04) x Original price.

So, we have:

New Price = 0.96 x 45400

The new price

In (a), we have:

New Price = 0.96 x 45400

Evaluate

New Price = 43584

Hence, the new price of the car is $43,584

Read more about percentage change at:

https://brainly.com/question/386302

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