I furniture stores having a weekend sale and is offering 20% discount on patio chairs and table the sales tax on furniture is 6.25 using function composition how can you represent the total amount a that you would need to pay for this furniture that cost X dollars

Respuesta :

Answer:

0.85X dollars.

Step-by-step explanation:

Let X dollars be the cost of furniture.

We have been given that a furniture stores having a weekend sale and is offering 20% discount on patio chairs and table.

This means the price of furniture after 20% discount will be X-20% of X.

[tex]\text{Price of furniture after discount}=X-(\frac{20}{100}*X)[/tex]

[tex]\text{Price of furniture after discount}=X-0.20X)[/tex]

[tex]\text{Price of furniture after discount}=0.80X[/tex]

We are also told that the sales tax on furniture is 6.25%. Since sales tax is added after discount, so price of furniture after sales tax will be:

[tex]\text{Price of furniture after sales tax}=0.80X+(\frac{6.25}{100}*0.80X)[/tex]

[tex]\text{Price of furniture after sales tax}=0.80X+(0.0625*0.80X)[/tex]

[tex]\text{Price of furniture after sales tax}=0.80X+0.05X[/tex]

[tex]\text{Price of furniture after sales tax}=0.85X[/tex]

Therefore, we need to pay 0.85X dollars for the furniture.