+0  
 
0
38
2
avatar

1Julia is solving an absolute value inequality in class and
has become stuck. Show Julia the next step and write down
the explanation for that step so she can reference it on other
problems.

Julia’s steps:
2|x+5|-3≤10

2|x+5|≤13

|x+5|≤6.5

 

2.After receiving his business degree from UNC-Chapel
Hill, John is offered positions with two companies. Company
A offers him $80,000 per year, with a $1,000 increase every
year. Company B offers him $60,000 per year with a 4%
increase every year. After how many years will the Company
B salary be higher than Company A?

 May 12, 2020
 #1
avatar+111360 
+1

First one

 

We either  have  that

 

x + 5 ≤ 6.5                                                     or             x + 5 ≥ -6.5

Subtract 5 from both sides                                          Subtract 5 from both sides

x ≤ 1.5                                                                            x ≥  -11.5

 

So....the  solution  is  [ -11.5  ≤ x  ≤ 1.5 ]

 

 

cool cool cool

 May 12, 2020
 #2
avatar+111360 
+1

2.After receiving his business degree from UNC-Chapel
Hill, John is offered positions with two companies. Company
A offers him $80,000 per year, with a $1,000 increase every
year. Company B offers him $60,000 per year with a 4%
increase every year. After how many years will the Company
B salary be higher than Company A?

 

 

We can solve this  :

 

80000 + 1000x  =  60000(1.04)^x

 

A graph seems  the  best way to go here

 

See here : https://www.desmos.com/calculator/6uzj1wumyw

 

The graph shows  that both companies will  pay the same at about 10.4 years

 

So...Company B will pay more after about 11 years

 

 

 

cool cool cool

 May 12, 2020

18 Online Users

avatar