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.
Answer:
y=5/3x-13
Step-by-step explanation:
We must use the point-slope form(parallel lines have the same slope, remember that!)
y-y1=m(x-x1)
y-2=5/3(x-9)
y-2=5/3x-15
y=5/3x-13
Answer:
Option C
Step-by-step explanation:
40/10 simplifies to 4.
40/100 simplifies to 0.40.
Therefore:
Option C should the the correct answer.
For question 3, you needn't worry about the number of total students asked. The question is really just asking you what's 45% as a fraction, which is 9/20. This is because 45% = 45/100, divided by 5 = 9/20.
For question 6, just substitute in the values. So you do 4(7 × 4 - 3 × -7), which gives you 4(28 - -21). Two minuses make a plus, so it's just asking you to do 4 × 49 (because 28 + 21 = 49). The answer is 196.
