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: A rectangles angles are always equal.
Step-by-step explanation:
Suppose you have a rectangle, four sides, two pairs of parallel lines. in order to be a rectangle, the quadrilateral has to have equal angles, similar to a square, if they didn't, they could be a trapezoid, which is not a rectangle, because it only has one pair of parallel lines.
Hope this helps!
Traffic rules are set by each individual state.
In most states, an intersection where traffic lights are out of order
is treated as if it were a 4-way STOP.
But you can't depend on this answer. You MUST determine what
the law is in the state where you're driving. And if you drive out of
state, it may change for you.
