Question

A car dealership decreased the price of a certain car by 4%. The original price was

Answer 1

%change=100(final-initial)/initial, 

%change=100(New price-Original price)/Original price

(Original price*%change)/100=New price-Original price

New Price=(Original price*%change+100*Original price)/100

New Price=Original price(100+%change)/100

Since %change is -4%...

New Price=0.96(Original price)

...

Since original price is $45400

New Price=0.96(45400)

New Price=$43584

Answer 2

Answer:

(a) $\text{New Price}=0.96\times \text{Original Price}$

(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%.

$\text{New Price}=\text{Original Price}-\frac{4}{100}\times \text{Original Price}$

$\text{New Price}=(1-\frac{4}{100})\times \text{Original Price}$

$\text{New Price}=\frac{96}{100}\times \text{Original Price}$\

$\text{New Price}=0.96\times \text{Original Price}$

(b)

Using part (a), we get

$\text{New Price}=0.96\times \text{45400}$

$\text{New Price}=43584$

Therefore the new price of car is $43584.