Since a $5 decrease in price increases customers by 20 we can say that we have two points:
(125,100) and (120,120), from these we can find the slope or rate of change of customers as a function of price...
m=20/-5
m=-4
m=-4
c(p)=-4p+b, now we can use (125,100) to solve for b
100=-4(125)+b
100=-500+b
600=b, so our number of customers as a function of price is:
c(p)=600-4p
Revenue will simply be the number of customers times the price charged per customer...or p*c(p):
r(p)=600p-4p^2
We can find price that creates maximum revenue by finding when the derivative is equal to zero...
dr/dp=600-8p
dr/dp=0 only when
0=600-8p
8p=600
p=75
So the price that maximizes revenue is $75.
1800 a month, that’s expensive, 9.5 percent per year. Wow
Answer:
x=37
Step-by-step explanation:
As you can see in the image, both angles are congruent to each other. 74 degrees and 2x degrees. You have to divide 74 by 2 to find what x equals.
74/2=37
x=37
Answer:
<h2>SA = 166 cm²</h2>
Step-by-step explanation:
We have three pairs of rectangles:
4cm × 5cm
4cm × 7cm
5cm × 7cm
The formula of an area of a rectangle l × w:
A = l × w
l - length
w - width
Substitute:
A₁ = (4)(5) = 20 cm²
A₂ = (4)(7) = 28 cm²
A₃ = (5)(7) = 35 cm²
The Surface Area:
SA = 2A₁ + 2A₂ + 2A₃
Substitute:
SA = 2(20) + 2(28) + 2(35) = 40 + 56 + 70 = 166 cm²
