Answer:
The maximum revenue is $900, obtained with 30 people
Step-by-step explanation:
Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.
f(x) = x*(40-(x-20)) = -x²+60x
Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).
f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.
The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30
for x = 30, f(x) = 30*(40-(30-20))=30*30=900
So the maximum revenue is $900.
The answer is <span>252.5 ft
</span><span>y = –0.004x</span>²<span> + x + 2.5
Let's take y = 0 and we'll get the quadratic equation:
</span>–0.004x² + x + 2.5 = 0
The general formula for quadratic equation is:
ax² + bx + c = 0
a = -0.004
b = 1
c = 2.5
Since distance cannot be negative (x1), the correct answer is x2 = 252.5 ft
Answer: 2/3
Step-by-step explanation: You take the 2 and divided it by 3 but your going to get a long decimal so you can put it into a fraction of 2/3
<span>Step 1: Make sure the bottom numbers are the same.Step 2: Add the top numbers , put the answer over the denominator.<span>Step 3: Simplify the fractio</span></span>
Answer: I assume this ques was formatted like this originally. 4/10 = 2. If so the answer is 5 making the second fraction 2/5. Let me know if this is not the case. Hope this helps!