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
Answer:
C
Step-by-step explanation:
Perpendicular lines have the exact opposite slope of the other equation.
So the slope will be x or 1x. Plug in
-8 = 1(4) + b (b represents y-intercept) like y=mx+b
-8 = 4 + b (subtract 4 on both sides)
-12 = b
The equation is y = x - 12
C
solve
y + 8 = x - 4 (subtract 8 on both sides)
y = x - 12
Answer:
6 23/24
Step-by-step explanation:
First, find the least common factor of 8 and 12, the denominators.
8 16 24
12 24
24, is now the current denominnator,
8x 3 = 24
Now you go do it to the numerator, 3 x 3 = 9
9/24 + ?
Now, 12 x 2 = 24, do it to the numerator, 7 x 2 = 14
4 9/24 + 2 14/24
Now add the front numbers to make 6, than add the numerators and keep the denominator.
6 23/24, since you can not simplify this fraction, this is the answer.
Answer:
the answer is C
Step-by-step explanation:
Answer:
infinite
Step-by-step explanation: