Step-by-step explanation:
first way by sitting 3 person in one chair
Answer:
The indifference point is 8 weeks.
Step-by-step explanation:
<u>First, we establish the total cost formula for each:</u>
x= number of weeks
Club:
Total cost= 20 + 15*x
Retail:
Total cost= 17.5*x
<u>Now, we equal both formulas and isolate x:</u>
20 + 15x = 17.5x
20 = 2.5x
8=x
The indifference point is 8 weeks.
<u>Prove:</u>
Total cost= 20 + 15*8= $140
Total cost= 17.5*8= $140
Answer:
tan(2u)=[4sqrt(21)]/[17]
Step-by-step explanation:
Let u=arcsin(0.4)
tan(2u)=sin(2u)/cos(2u)
tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]
If u=arcsin(0.4), then sin(u)=0.4
By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.
This also implies cos(u)=sqrt(0.84) since cosine is positive.
Plug in values:
tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]
tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]
tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]
tan(2u)=[(40)(sqrt(0.84)]/[34]
tan(2u)=[(20)(sqrt(0.84)]/[17]
Note:
0.84=0.04(21)
So the principal square root of 0.04 is 0.2
Sqrt(0.84)=0.2sqrt(21).
tan(2u)=[(20)(0.2)(sqrt(21)]/[17]
tan(2u)=[(20)(2)sqrt(21)]/[170]
tan(2u)=[(2)(2)sqrt(21)]/[17]
tan(2u)=[4sqrt(21)]/[17]
The unit rate in dollars per ounce would be $403.90.
Hope this helps! :D
