12 divided by 5/6 equals 14 2/5
Answer:
$7,200
Step-by-step explanation:
r=p × n
where
r=revenue
p = price per item
n = number of items sold
A change in price changes quantity ( number sold)
Variable x changes with price, then
Let
p+x=a dollar price increase
p-x= a dollar price decrease
n+x= an increase in quantity sold
n-x= a decrease in quantity sold
Therefore,
A $2 dollar increase in price=p+2x
2 decrease in room quantity sold= n-2x
Substituting in the above equation
r=(p+2x)*(n-2x)
P=$60
n=180
Then
r=(60+2x)*(180-2x)
r=10,800-120x+360x-4x^2
r=-4x^2-240x+10,800
Solve the quadratic equation
The maximum value of x in the vertex = - b/2*a
Where
b=240
a=-4
Value of x=-240/2*(-4)
X=30
r=-4x^2-240x+10,800
=-4(30)^2-240(30)+10,800
=-4(900)-7200+10,800
=3,600-7200+10800
=$7,200
The rate that maximises revenue=$7,200
The volume of the sphere is given as:
π = 3.14
r = 4.5 inches
Using the values, we get:
Thus, the volume of sphere rounded of to nearest tenth is 381.5 cubic inches
