Answer
given,
opera house ticket = $50
attendance = 4000 persons
now,
opera house ticket = $52
attendance = 3800 person
assuming these are the points on the demand curve
(x, p) = (4000,50) and (x,p) = (3800,52)
using point slope formula
R(x) = x . p
at 
x = 4500
hence at x =4500 the revenue is maximum
for maximum revenue ticket price will be
p = $45
Answer:
John must scan at least 863 images before he pays less on his own rather than in the store
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The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)
<h3>What is
volume?</h3>
Volume is the amount of space occupied by a three dimensional shape or object.
Let w represent the width of the base and h represent the height. Hence:
w²h = 2
h = 2/w²
The surface area = 2w² + 4(hw) = 2w² + 4(2/w² * w) = 2w² + 8/w
The total cost = 2w² * $10 + (8/w) * $20 = $(20w² + 160/w)
The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)
Find out more on volume at: brainly.com/question/12410983
−10+1≤3x≤1+1
2 Simplify.
−9≤3x≤2
3 Divide the whole equation by 3.
9/3 ≤x≤ 2/3
4 Simplify.
−3≤x≤ 2/3
-3<x<4
Answer:
See explanations below
Step-by-step explanation:
1)2 2/3 + 3 2/3
Convert to improper fraction
= 8/3 + 11/3
= (8+11)/3
= 19/3
= 6 1/3
hence the sum as mixed fraction is 6 1/3
2) 9 3/6 + 2 2/6
= 57/6 + 14/6
= (57+14)/6
= 71/6
= 11 5/6
Hence the value as a mixed fraction is 11 5/6
3) 4 3/8 + 1 5/8
= 35/8 + 13/8
= (35+13)/8
= 48/8
= 6
Hence the value is 6
