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Glen invested a certain amount of money to purchase tools to start his own roofing business. He also spends money on supplies for each roof he shingles. The profit he makes from shingling roofs is modeled by the equation P=1500x-(100+400x), where x represents the number of roofs. 

 

Question: If Glen shingles 3 roofs, will he make a profit? Show calcuations and explain how you know with work along showed.

 Feb 17, 2017
 #1
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Why can't you calculate this?

 

P=1500x-(100+400x)

P=[1500 x 3] - [100 + (400 x 3)]

P=4,500 - [100+1,200]

P=4,500 - 1,300

P=3,200 - Profit for 3 roofs

$3,200 / 3 =$1,067 - average profit per roof.

He will ALWAYS make a profit, because his profit margin is 1,500 per roof, while his costs are fixed at $400 per roof plus a small amount of $100.

 Feb 17, 2017
 #2
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0

What mistake was made when simplying the following expressions? 

 

#1. Y-15-3y+8

 

#2. 10(y-4)+4 

 Feb 24, 2017
 #3
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Solve the following equations showing all the steps of your work. 

 

#1. 3y+12+3(y-2)=0 

 

 

#2. 7y+2=3y+10

 

 

#3. 4-2(y-5)=6

 

 

#4. 3(y-4)=y-2(y-6) 

 

 

SHOW ALL WORK

 Feb 24, 2017
 #4
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Solve the expressions with show of steps/work. Thx! 

 

 

#1. 30=2x+3(15-x)+2 

 

 

 

 

 

 

 

#2. 100= 5(6-2x)+3x

 Feb 24, 2017
 #5
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You and your best friend are trying to save money. The equation y=10x+25 models the amount of money you have in your bank account, where x= number of weeks since you opened the account and y is the total amount of money in the account. You desposited $25.00 into the account when you opened int. Your best friend's account is modeled by the tabel below. 

 

Question: Write and solve an equation that will tell when you will have the same amount of money in your accounts. (HINT: First, write an equation for your friend's account then set the expressions, for y, equal to slove for x). 

 

 

 

 

Chart: Weeks and Total Money in the bank. 

At 0 weeks: 50

At 1 Week: 55

At 2 Weeks: 60

At 3 Weeks: 65

At 4 Weeks:  70

 Feb 24, 2017
 #6
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0

Glen invested a certain amount of money to purchase tools to start his own roofing business. He also spends money on supplies for each roof he shingles. The profit he makes from shingling roofs is modeled by the equation P=1500x-(100+400x), where x represents the number of roofs. 

 

 

 

 

Question: Write an equation that is equilvanet to the given profit equation, P= 1500x-(100+400x)

 Feb 24, 2017

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