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
Formula: (Base * Height) / 2 = Area
(10 * 7) / 2 =
70 / 2 =35 inches squared
Hope I helped
ΩΩΩΩΩΩΩΩΩΩ
Answer: The number pi is an irrational number
Step-by-step explanation:
Pi is irrational because it will never end and at the same time doesnt have a pattern in which the numbers repeat. Here are some of the numbers in pi 3.14159265359
We have been given that a 208-yard-long road is divided into 16 parts of equal length.
Let us find length of each part.
Length of each part will be 13 yards.
We are told that Mr. Ward paints a 4-yard-long strip in each part.
Now we will subtract length of painted strip from length of each equal part to find length of unpainted strip of each part of the road.
Therefore, length of each unpainted strip will be 9 yards.
Answer:
- Parallel
- Neither parallel nor perpendicular
- Perpendicular
Step-by-step explanation:
<u>Given line m:</u>
<u>Relationship of line m with following lines:</u>
1.<u> y = 4/5x + 3</u>
- Same slope, different y-intercept
- Parallel
2. <u>y = -4/5x + 3</u>
- Slope are negative, different y-intercept
- Neither parallel nor perpendicular
3. <u>y = - 5/4x + 3</u>
- Slopes are negative-reciprocal, different y-intercept
- Perpendicular