Answer:
$7,562.5
Step-by-step explanation:
Given the function of the profit earned expressed as;
<em>f(p) =-40p^2+1100p</em>
To maximize the profit, df(p)/dp must be sero
df(p)/dp = -80p + 1100 = 0
-80p + 1100 = 0
-80p = - 1100
p = 1100/80
p = 13.75
Substitute p = 13.75 into the function
f(13.75) =-40(13.75)^2+1100(13.75)
f(13.75) = -7,562.5+15,125
f(13.75) = 7,562.5
Hence the symphony should charge $7,562.5 to maximize the profit.
C. Prime
Pretty sure its C because none of the other options factor to x^2-8x-12
Answer:
Step-by-step explanation:
We have a separable equation, first let's rewrite the equation as:
But:
So:
Multiplying both sides by dx and dividing both sides by 3a+y:
Integrating both sides:
Evaluating the integrals:
Where C1 is an arbitrary constant.
Solving for y:
So:
Finally, let's evaluate the initial condition in order to find C1:
Solving for C1:
Therefore:
Answer:
7
The 6 is in the tenths place and the 7 is in the ones place.
Answer:
The triangle is an acute equilateral triangle
Step-by-step explanation:
The triangle is acute because of all three angles measuring under 90 degrees.
It is also equilateral for all of its angles are of equal measurements and all three sides are congruent as well.
