Answers
Step-by-step explanation:
We find the stationary point of (20 + 2x)(1200 - 60x),
where x is the unit rate of increase/decrease.
d/dx [(20 + 2x)(1200 - 60x)]
= d/dx (-120x² + 1200x + 24000)
= -240x + 1200.
When d/dx [(20 + 2x)(1200 - 60x)] = 0,
We have -240x + 1200 = 0. => x = 5.
Price per shirt that maximise revenue
= $20 + $2x = $20 + $2(5) = $30.
Maximum revenue
= (20 + 2(5))(1200 - 60(5))
= $30 * 900 = $27,000.
Related Questions
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Question: The sum of an integer and its opposite is always, sometimes or never equal to zero?
Answers
Answer: Always
An example would be 5 + (-5) = 0
Another example is -7 + 7 = 0
The opposite of any positive number is the negative version of that number.
Adding any positive number to its negative counterpart always leads to 0.
A real world example could be "You start on the ground floor. Then you go up 9 floors, and then go down 9 floors in a building, so ultimately you're at the ground floor again". By the term "ground floor", I mean "floor 0".
1. If a circle has a diameter of 18 inches, what is the radius ? *
A 9 feet
B 9inches
C 36 feet
D 36 inches
Answers
Answer: The radius is 9in
Explanation: 9in is the radius because radius is half of the diameter and 18÷2= 9
In standard form: y-9=2(x-1)
Answers
Answer:
y - 9 = 2(x-1)
y -9 + 9 = 2x - 2 +9
y = 2x + 7
What is the solution to 5x+4=x+4
Answers
Answer:
x=0
Step-by-step explanation:
Step 1: Subtract x from both sides.
5x+4−x=x+4−x
4x+4=4
Step 2: Subtract 4 from both sides.
4x+4−4=4−4
4x=0
Step 3: Divide both sides by 4.
4x/4=0/4
Answer:x=0
Step-by-step explanation:
solve the equation 19+n=30
n=
Answers
Answer:
n=11
Step-by-step explanation:
........... ...........
Which of the following functions has a vertex of (-4,3) and a line of symmetry of x= -4?
O A. f(x) = 2(x +4)2 – 3
OB. f (x) = 2(x - 4)2 + 4
O c. f (x) = 2(x +4)2 + 3
OD. f (x) = 2(x - 3)2 + 4
E. f (x) = 2(x – 4)2 + 3
Answers
Answer:d
Step-by-step explanation:
Gabrielle is 14 years younger than Mikhail. The sum of their age is 58. What is Mikhail’s age? __ years old
Answers
Help ASAP!! I will give u BRAINLYEST!! Pleas just help me :(!
In a complete sentence, explain how you would find the radius and
diameter of a circle when the circumference is given.
Answers
Answer:
Find the diameter or radius of a circle using the formulas: C = πd; C = 2πr
Step-by-step explanation:
Answer:
You can discover the diameter and radius when the circumference is given by using: C = πd; C = 2πr
Step-by-step explanation:
A shade of purple is made with 4 ounces of red paint, 5 ounces of blue paint, 2 ounces of white paint How many ounces of blue paint are needed to make an 88 ounce batch of paint?
Answers
Answer:
40 ounces.
Step-by-step explanation:
We are going to find this by using ratios.
Given that we have 4 ounces of red paint, 5 ounces of blue paint, and 2 ounces of white paint. The total ounces of paint in a shade of purple is 4 + 5 + 2 = 11.
The fraction of the paint that is blue is thus ounce of blue paint/total ounce of paint = 5/11
So, the number of ounces of blue paint are needed to make an 88 ounce batch of paint is fraction of blue paint × 88 ounces = 5/11 × 88
= 5 × 8
= 40 ounces.
The pedigree below shows a sex-linked trait carried on the X chromosome. Shaded individuals are affected by the trait.
Which of the following is true of the female represented by Circle 1?
Answers
A jewelry store buys in which to wrap items that they sell. Each box is a cube with side lenghts of 2 cmFind the surface area of the box?
Answers
Answer:
24 cm
Step-by-step explanation:
A marching band has 169 members that will March in a square formation. How many band members should be in each row
Answers
Explanation: To make a square you would need an equal amount of people in a square shape. 13 is the best number as it is the root of 169.
ASAP ILL GIVE YOU BRAINLEST 40 POINTS.
In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles. For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18). Part A: Write an equation to represent the corresponding relationship between A and B. Part B: Use the equation to find the measures of A and B.
Answers
Answer:
Part A: 4x = -5(x - 18)
Part B: 40° (both, A & B)
Step by step explanation:we already know the fact that angles A and B are corresponding angles.
By definition, this means that A and B are equal in degree measure
Answer:
Part A: 4x = -5(x - 18)
Part B: 40° (both, A & B)
Step-by-step explanation:
Need help ASAP
1 ft.
1.5 ft
5 ft
10 ft
What is the area of this trapezoid?
square feet
Answers
Answer:
75
Step-by-step explanation:
X
7 cm
14 cm
Pls help if u can
Answers
Answer:
C.) 7√3
Step-by-step explanation:
a^2 + b^2 = c^2
x^2 + 7^2 = 14^2
x^2 + 49 = 196
x^2 = 196 - 49
x^2 = 147
√x^2 = √147
√147 = √49 • √3
√49 = 7
√3 = √3
7√3
if m/_A = (11x+37)⁰ and x = 13, find m/_A and classify the angle.
Acute
Right
Obtuse
Straight
Help Fast!!
Answers
Answer:
11 x 13 + 37 = 180.
m/_A = 180
Straight
Step-by-step explanation:
180 degrees is a straight line.
Answer:
Step-by-step explanation:
The expression 6*7=7*6 is an example of commutative property of multiplication or Associative property of multiplication or Distributive property or Commutative property of addition
Answers
Screen-printing a batch of shirts requires 3 minutes per shirt in addition to 13 minutes of initial set-up time. If it takes 616 minutes to screen-print a batch of shirts, how many shirts are in the batch?
Answers
Answer: 201 shirts
Step-by-step explanation:
Let x= total shirts in the batch.
Total time taken for x shirts = Initial set-up time + (Time require per shirt) × (x)
[tex]\Rightarrow\ 616= 13+3x\\\\\Rightarrow\ 3x=616-13\\\\\Rightarrow\ 3x= 603\\\\\Rightarrow\ x=\dfrac{603}{3}\\\\\Rightarrow\ x=201[/tex]
Hence, there are 201 shirts in the batch.
mr mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.
Answers
Answer:
A(t)=-1.8t-4.5
Step-by-step explanation:
Solve using order of operations: 7 + 4 x2
Answers
Answer:
15
if you are happy with my answer, please give brainliest :)
Step-by-step explanation:
You do 4 times 2 first
so
7+8 equals 15
Answer:
Step-by-step explanation:
=7+8
=15
Hope it helped you.
Plz mark me brainliest.
As an estimation we are told 5 miles is 8 km.
Convert 68 km to miles.
Answers
Answer:
42.5 miles
Step-by-step explanation:
68 : 8 = 8.5 km
8.5 x 5 = 42.5 miles
6 of 12
A car travels a distance of 180 km in a time of 3 hours.
What is the car's average speed?
km/h
Answers
Answer:
60km/h
Step-by-step explanation:
180 ÷ 3 = 60
60km/h
Find the area of the circle. Round your answer to the nearest hundredth.
2cm
Answers
Area of a circle = pi x r^2
Remember, the radius is just half of the diameter! Then to square a number, is to multiply it by itself once.
pi x 1^2 =?
pi x 1
Pi
The circumference of your circle is approximately 3.14 cm squared.
Find the area of the trapezoid. A=1/2h(b+b)
Answers
Answer:
Your answer is 28
Step-by-step explanation:
1/2 of 4 = 2
2 (5+9)
2 (14)
28
Enter the number that goes beneath the radical symbol
Answers
Answer:
185
Step-by-step explanation:
It seems like you're using the Pythagorean theorem, which would mean that b is equal to [tex]\sqrt{11^2 -8^2}[/tex], which is equal to [tex]\sqrt{185}[/tex]. The number beneath the radical symbol is 185.
Enlargement or reduction2 Find the scale factor!
Answers
Mr. Alvarez is buying every boy on his son's football team a new football. The footballs are sold in packages of 4. There are a total of 15 boys on the football team.
Part A:
In order for every boy to receive a football, how many packages of footballs does Mr. Alvarez need to buy?
Part B:
Using your findings in Part A, if every package costs $20.97, how much will Mr. Alvarez spend on footballs?
Answers
Answer:
Part A: 4
Part B: 83.88
Step-by-step explanation:
4x4= 16 that's enough for the whole team you have 1 extra football
The footballs are sold in 4 so that means you will have to multiply 20.94 by how many packets you have which is 83.88
I’m not sure what to put in these please I need help right now!!!!
Answers
Answer:
x = 6, x = 8, x = 4
Step-by-step explanation:
You would just have to come up with a number to replace x in the equation that when you multiply it by 2 it is larger than 6. Sorry if that's not the right answer.
7/8 - 1/4n = -3/8
n= __
Answers
steps)7-2n=3
then you move the constant to tge right hand side and change its sign
-2n=3-7
then
calculate the difference
-2n=3-7
-2n= -4
Divide both sides
n=2
Answer:
From what I understand n=5
PLEASE HELP IM DESPERATE
ALL I NEED IS FOR SOMEONE TO ANSWER NUMBERS 7, 8, AND 9
Answers
Answer:
The answer to 9 is below
Step-by-step explanation:
2(L + W) = P
2(W + 5a - b) = 16a + 2b
2(W + 5a - b) = 2(8a + b)
W + 5a - b = 8a + b
W = 3a + 2b