Answer:
$15.625
Step-by-step explanation:
Let the revenue collected be R and price per spectator be p then the number of spectators be N. Therefore
R=Np
Using equation of slope of y=mx +c where m is gradient and c is y-intercept
When p=$11, N=27000 and when p=$8, N=31000
The gradient, m will be

To get the y-intercept
N=-1333.33p+c
When spectator number n is 27000, the price p is $11
27000=-1333.33(11)+c hence we solve c
c=27000+(11*1333.33)= 41666.67
Therefore, the linear equation is
N=-1333.33p+ 41666.67
Substituting the linear equation into R=Np we obtain
R=p(-1333.33p+41666.67)
To obtain maximum revenue, we differentiate the above with respect to price hence obtain
0=2*-1333.33p+41666.67

Therefore, the price that maximizes revenue is $15.625
Supplementary angles , when added, = 180
complimentary angles, when added, = 90
< AQC + < GQC = 180.....supplementary
< BQD + < DQE = 90.......complimentary
< CQE + < EQF = 90.......complimentary
< GQF , < FQE.....neither
< BQC + < DQC = 90....complimentary
< W and < X are supplementary...
if < W = 37, then < X = (180 - 37) = 143
< S and < T are complimentary
if < S = 64, then < T = (90 - 64) = 26
< C and < D are supplementary
if < C = 83, the < D = (180 - 83) = 97
cant read all of the last one.....but if they are complimentary, and
< U = 41, then the other angle is : (90 - 41) = 49
The first 8 on the left in this number has a value of 800.
Answer:
add 8x to both sides of the inequality
Step-by-step explanation: