Answer:
It is a 50% increase
Step-by-step explanation:
2.4 million /2 = 1.2 million
2.4m + 1.2m = 3.6m
50% of 2.4 is 1.2
it is a +50% increase to get from 2.4 to 3.6
A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
The equation that can be used to determine the volume of the sphere is 4/3π10³
<h3>What is the volume of the sphere?</h3>
A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.
Volume of a sphere = 4/3πr³
Where:
To learn more about the volume of a sphere, please check: brainly.com/question/13705125
Fractions
We are going to be checking each statement in order to find which of them are correct:
<h2>5/6 < 6/8 - 5/6 is smaller than 6/8</h2>
We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.
<h2>
4/6 < 5/8 - 4/6 is smaller than 5/8</h2>
We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.
<h2>
2/6 = 3/8 - 2/6 is equal to 3/8</h2>
We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.
<h2>
3/6 = 4/8 - 3/6 is equal to 4/8</h2>
We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.
<h2>
Answer: 3/6 = 4/8</h2>
