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. 
        
             
        
        
        
28 because we are talking about TENS meaning there can only be 2 digits
        
             
        
        
        
Answer:
Acute Triangle
Step-by-step explanation:
All angles are less than 90 degrees. 
 
        
             
        
        
        
Answer and Step-by-step explanation:
You got everything correct so far except for #4.
4. Yes, it is 1. But it would be in months.
So you would put:
1 month = x
12 months = 1 year.
Since the population increases by 1.5 times a <em>month.</em>
For question number 3.
The equation should be:
 <- Function
 <- Function
 <- Function when x is 12 months (1 year)
 <- Function when x is 12 months (1 year)
(Put those both the same way I put it.)
It gives you the equation to work with, you just have to plug in the values.
1.5 is in the parenthesis because it needs to be the one that is raised by an exponent.
100 is the initial population, so it stays on the outside.
x is the exponent
 
        
             
        
        
        
Answer:
30 gallons of 20% acid solution should be mixed.
Step-by-step explanation:
Let x gallons of a 20% acid solution was mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solution.
Therefore, final volume of the solution will be (x + 30) gallons.
Now concept to solve this question is 
20%.(x) + 40%.(30) = 30%.(x + 30)
0.20(x) + 0.40(30) = 0.30(x + 30)
0.20x + 12 = 0.30x + 9
0.30x - 0.20x = 12 - 9
.10x = 3
x = 
x = 30 gallons
Therefore, 30 gallons of the 20% acid solution should be mixed.