Answer:
62.3 miles per hours.
Step-by-step explanation:
The given formula is
Police use this formula to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road.
It is given that car's skid marks is 194 feet at the scene of an accident.
We need to find the speed of car at the time of accident.
Substitute L=194 in the above formula.
Therefore, the speed of car is 62.3 miles per hours.
Answer:
A)The required linear demand equation ( q ) = -4500p + 41500
B) $4.61
$95680.55
C) No it would not have been possible by charging a suitable price
Step-by-step explanation:
<u>A) find the linear demand equation</u>
given two points ; ( 3, 28000 ) and ( 5, 19000 )
slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )
= ( 19000 - 28000 ) / ( 5 - 3 ) = -4500
slope intercept is represented as ; y = mx + b
where y( 28000) = -4500(3) + b
hence b = 41500
hence ; y = -4500x + 41500
The required linear demand equation ( q ) = -4500p + 41500 ----- ( 1 )
p = price per ride
<u>B ) Determine the price the company should charge to maximize revenue from ridership and corresponding daily revenue</u>
Total revenue ( R ) = qp
= p ( -4500p + 41500 )
hence R = -4500p^2 + 41500p ------ ( 2 )
To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p to a quadratic equation R(p) = ap^2 + bp + c
where a = -4500 , b = 41500 , c = 0
hence p = =
= 4.61
$4.61 is the price the company should charge to maximize revenue from ridership
corresponding daily revenue = R = -4500p^2 + 41500 p
where p = $4.61
hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55
C) No it would not have been possible by charging a suitable price
Answer:
The space that the package would occupy is 45 cubic feet.
Step-by-step explanation:
The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.
Volume of a cylinder = h
where: r is the radius and h is the height of the cylinder.
Given that; h = 5 feet and r = 3 feet.
The required volume = ×
× 5
= × 9 × 5
= 45 cubic feet
The space that the package would occupy is 45 cubic feet.