Answer:
The indifference point is 100 minutes.
Step-by-step explanation:
Giving the following information:
Plan a cost $23 plus an additional $.08 for each minute of calls.
Plan B cost $19 an additional $.12 for each minute of calls.
<u>First, we need to establish the total cost formula for each plan:</u>
Plan A= 23 + 0.08*x
Plan B= 19 + 0.12*x
x= number of minutes
<u>Now, to calculate the indifference point, we equal both formulas and isolate x:</u>
23 + 0.08x = 19 + 0.12x
4 = 0.04x
100= x
The indifference point is 100 minutes.
<u>Prove:</u>
Plan A= 23 + 0.08*100= $31
Plan B= 19 + 0.12*100= $31
x = -4, so use the first equation, x^2 = -4^2 = -16
x = 4, use 3rd equation, sqrt(x) = sqrt(4) = 2
Answer: the length of the base is 290ft
The width of the base is 175 ft
Step-by-step explanation:
The base of the building is rectangular in shape.
Let L represent the length of the base of the building.
Let W represent the width of the base of the building.
The length of the base measures 60 ft less than twice the width. This means that
L = 2W - 60 - - - - - - - - -1
The perimeter of a rectangle is expressed as 2(length + width).
The perimeter of this base is 930ft. It means that
2(L + W) = 930
L + W = 930/2 = 465- - - - - - 2
Substituting equation 1 into equation 2 , it becomes
2W - 60 + W = 465
3W = 465 + 60 = 525
W = 525/3 = 175
L = 465 - W = 465 - 175
L = 290
A linear pair is a pair of angles that form a line. When added, they will equal 180.
< EFG + < GFH = 180
5n + 20 + 3n + 16 = 180
8n + 36 = 180
8n = 180 - 36
8n = 144
n = 144/8
n = 18
< EFG = 5n + 20.....5(18) + 20 = 110 <==
< GFH = 3n + 16.....3(18) + 16 = 70 <==
199.
the z score for the 90th percentile is 1.28, so you can solve the equation
which gets you the 199
