Answer:
Step-by-step explanation:
Let x represent the seating capacity
Number of seats = 40+x
Profit per seat = 10 - 0.20x
For maximum number of seats
P(x) = ( 40+x ) ( 10-0.20x )
P(x) = 400+10x-8x-0.2x^2
P(x) = 400+2x- 0.2x^2
Differentiating with respect to ( x )
= 2 - 0.4x
0.4x = 2
x = 2/0.4
x = 5
The seating capacity will be 40+5 = 45
For the maximum profits
40X10+ 9.9 + 9.8 + 9.7 + 9.6 + 9.5 + 9.4 + 9.3 + 9.2 + 9.1 + ... 1.0, 0.9, 0.8, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1
= 400 + an arithmetic series (first term = 0.1, common difference = 0.1, number of terms = 8+ 40 = 48 )
= 400 + (48/2)(2X0.1 + (48-1)X0.1)
= 400 + 24(0.2 + 4.7)
= 400 + 24(4.9)
= 400 + 117.6
= 517.6
= 517.6dollars
Answer:
-1.
Step-by-step explanation:
(tanx- secx) (tanx+ secx).
= tan^2 x + tanx sec x- tanx sec x - sec^2x
= tan^2 x - sec^2 x.
But sec^2 x = 1 + tan^2 x
so tan^2 x - sec^2 x = -1
Answer:
Scalene acute triangle
Step-by-step explanation:
And acute has less than 90 degrees all of them are less than 90 which makes it acute, scalene
Answer:
25*pi or
78.5 square units.
Step-by-step explanation:
If there was no shaded area, the area of the circle would be pi * r^2
r = 10
Area = pi * 10^2
Area = 100 * pi
Since there is a shaded area, the shaded part looks to be 1/4 of the whole. There's no indication of what it actually is, but 1/4 should be close enough.
Area_shade = 1/4 (100*pi)
Area_shade = 25 * pi
That's one answer.
Another is 25 * 3.14 = 78.5 square units
Answer:
Brainly's honor code doesn't allow quiz questions to be posted.
"Students are never allowed 2 post questions directly from tests, quizzes, and assessments, or copy answers found on Brainly during tests, quizzes, and assessments."
