Answer:
It takes 31 Pounds for UPS and FedEx to cost the same?
Step-by-step explanation:
The equation for the cost of a UPS shipping:
7 + .20x
to check the answer, you can do : 7 + (.20 x 31)
= $14.00
The cost for the cost of the PedEx shipping is:
5 + .30x
to check the answer, you can do : 5x + (.30 x 31)
= $14.00
The circumference of a circle is

and it coresponds to a 360 degree angle.
The circumference of the circle is 2*4*pi=8pi m=25.12m
25.12m......360 degrees
10 m.........x degrees
x=10*360/25.12=143.31 degrees
Answer:
Step-by-step explanation:
This is hard
Length of the line segment is 5 units.
Step-by-step explanation:
- Step 1: Length of the line segment that connects A and B is the distance between the points A (1, -1) and B(1, 4). x1 = 1, x2 = 1, y1 = -1, y2 = 4
- Step 2: Calculate the distance using distance formula √(x2 - x1)² + (y2 - y1)²
⇒ Length = √(1 - 1)² + (4 - -1)² = √5² = 5 units
Let x be the number of passengers.
The discounted cost is given by,
Cost = 574-5(x-81) = 574-5x + 405 = 979 -5x
Total revenue, R(x) = x(979 - 5x) = 979x - 5x^2
At maximum revenue, dR/dx = 0 => dR/dx = 979 - 10x = 0 =>10x = 979 => x =979/10 = 97.9 ≈ 98 passengers
Therefore,
Revenues, R(97) = 98[574 -5(98-81)] = 98[574-85] = $47,922