question 3 (1 point) deshawn has just bid a job to install carpet in a house. the house has 2180 ft² of…

question 3 (1 point) deshawn has just bid a job to install carpet in a house. the house has 2180 ft² of floor space that needs carpet. the rule of thumb for carpet is to order 9% more than the area needed to cover. if customer wants carpet costing $4.83/ft², how much money should deshawn figure into his bid for carpet if he want to make 9% profit on the carpet he purchases for the job? round your answer to the nearest cent.

question 3 (1 point) deshawn has just bid a job to install carpet in a house. the house has 2180 ft² of floor space that needs carpet. the rule of thumb for carpet is to order 9% more than the area needed to cover. if customer wants carpet costing $4.83/ft², how much money should deshawn figure into his bid for carpet if he want to make 9% profit on the carpet he purchases for the job? round your answer to the nearest cent.

Answer

Explanation:

Step1: Calculate the actual area of carpet to order

The house has an area of 2180 ft². We need to order 9% more than this area. Let the area of the house be $A = 2180$ ft². The additional area is $0.09A$. The total area to order $A_{total}=A(1 + 0.09)=2180\times(1 + 0.09)=2180\times1.09 = 2376.2$ ft²

Step2: Calculate the cost of the carpet

The cost per - square foot of the carpet is $C = 4.83$ dollars per ft². The total cost $T$ of the carpet is $T = C\times A_{total}=4.83\times2376.2$ $T=4.83\times2376.2 = 4.83\times(2000 + 300+70 + 6.2)=4.83\times2000+4.83\times300+4.83\times70+4.83\times6.2$ $4.83\times2000 = 9660$, $4.83\times300=1449$, $4.83\times70 = 338.1$, $4.83\times6.2=4.83\times(6 + 0.2)=4.83\times6+4.83\times0.2=28.98+0.966 = 29.946$ $T=9660+1449+338.1+29.946=11477.046\approx11477.05$

Answer:

$11477.05$