The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.
What is a mathematical model?A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.
Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.
The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.
The demand for Model Z is estimated as
[tex]D(p) = 180 + 10q - 4p[/tex]
Here, p is the price of Model Z.
Consider the following two statements:
1. When the average gasoline price q increases by $1, the revenue-maximizing price p" increases by $X.[tex]D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)[/tex]
2. When the average gasoline price q increases by $1, the demand at the revenue-maximizing price (i.e., D(p*)) increases by a factor of Y.[tex]D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\[/tex]
Put the value of demand at the revenue-maximizing price as,
[tex]Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}[/tex]
Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.
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Complete the sentence to describe the triangle shown.
GHI is _____ and _____.
This Diagram Shows a Regular Pentagon
The sum of three number is 99. The second number is 9 more than the first the third number is 4 times the second. What are you numbers?
Answer:
First Number=9
Second number=18
Third Number=72
Step-by-step explanation:
let's take the first number as X
X+(9+X)+[4(9+X)]=99
X+9+X+36+4=99
6X=99-45
X=54/6
X=9
When specific frequencies of______are absorbed by a material, it forms an absorption spectrum.
A. mass
B. light
C. lightyears
D. weight
Answer:
B. light
Step-by-step explanation:
When specific frequencies of light are absorbed by a material, it forms an absorption spectrum.
Help me please? I don’t understand.
Answer:
90°
Step-by-step explanation:
This is important to remember, the three interior angles will always have a sun of 180.
knowing this it’s pretty basic math
a + b + c = 180
33 + 57 + c = 180
90 + c = 180
[subtract 90 from each side (90 cancels out)]
c = 90°
…
Check
- > 33 + 57 + 90 = 180
33 + 147 + = 180
180 = 180
Check!
Anyone know the answer to 4 1/6 + 3/4? The final result should be a mixed number.
Answer:
=59/12 or 4.92 or 4 11/12
Step-by-step explanation:
4 1/6 + 3/4
=25/6 + 3/4
=59/12 or 4.92 or 4 11/12
look at the image and answer it for me please
how do I simplify the following to "a+bi" form: (1+2i)^3
Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply every term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
Evaluate 0.2x for x = 5.
A. 0.1
B. 1
C. 10
D. 0
Find the area of the shaded figure.
Answer: 12
Step By Step Explanation:
Comanche Ltd closed at $15.89, a $0.43 decrease from the closing price the day before. This is a 2.6% decrease. O A. True O B. False
Answer:
False
Step-by-step explanation:
I am honestly not a hundred percent sure but I´ll let you know after the test..
what is the parent function
Using translation concepts, it is found that the parent function graphed in this problem is [tex]y = \sqrt{x}[/tex].
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have only one graph, which has the format of the square root of x, hence the function is:
[tex]y = \sqrt{x}[/tex]
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If f(x) = x3 - 2, find f(3).
O 25
O 24
O 26
O 20
Answer:
Option A, [tex]25[/tex]
Step-by-step explanation:
Step 1: Plug in 3 for x and solve
[tex]f(x) = x^3 - 2[/tex]
[tex]f(3) = (3)^3 - 2[/tex]
[tex]f(3) = 27 - 2[/tex]
[tex]f(3) = 25[/tex]
Answer: Option A, [tex]25[/tex]
If you put $2,000 into an interest
bearing account, where interest is
compounded quarterly (4 times a year) at
6%, how long will it take for your money
to triple?
Use A = P(1+5)
Solve for t.
t = [?] years
Round your answer to the nearest tenth.
Answer:
18.4 years
Step-by-step explanation:
The compound interest formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
For this problem we have
[tex]P= 2000\\r= 0.06\\n= 4\\A= 2000(3)= 6000[/tex]
We plug our numbers...
[tex]6,000= 2,000(1+\frac{0.06}{4} )^{4t} \\[/tex]
Then divide
[tex]6,000/2,000=3[/tex]
[tex]3= (1.015)^{4t}[/tex]
Apply log both sides
[tex]3log=(1.015) 4tlog[/tex]
Solve for t
[tex]t= \frac{3log}{(4log(1.015))} =18.4 years[/tex]
A cube has edge length of 12 in. Find its volume.
Answer:
1728 units^3
Step-by-step explanation:
The volume of a cube is given by the formula: a^3, where a is edge length.
a^3
(12)^3
1728
At the beach, Cody saw 4 times as many
seagulls as pelicans. If there were a total of 30
birds, how many birds were pelicans?
Answer:
6 pelicans
Step-by-step explanation:
Let x = number of pelicans
Cody saw 4 times as many seagulls as pelicans:
⇒ number of seagulls = 4x
Total of 30 birds:
⇒ seagulls + pelicans = 30
⇒ 4x + x = 30
⇒ 5x = 30
⇒ x = 6
Therefore, there were 6 pelicans (and 24 seagulls).
ATQ
y+4y=305y=30y=6Pellicans are 6
As part of a school project, Juanita was asked to draw an accurate sketch of her bedroom. using the dimensions and scale shown, determine the actual area of her room: 2.2in by 4.3in 1 inch is + to 5ft
An object has the mass of 900 g and a volume of 1,875 cm3.
Calculate its density.
g/cm3
Maths
If the mass of the object is 900 g and the volume is 1,875 cm³. Then the density of the object is 0.48 g/cm³.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
Density = mass / volume
An object has a mass of 900 g and a volume of 1,875 cm³.
Then the density will be
Density = 900/1875
Density = 0.48 g/cm³
Then the density of the object is 0.48 g/cm³.
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Simplify: 4 - 5.2 + 6 + 7.9 - 8
3.9x+0.8y is the answer to your question.
Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.
The diagram is not drawn to scale. < AOC=
Answer:
∠ AOC = 124°
Step-by-step explanation:
the 3 angles lie on a straight line and sum to 180°
sum the 3 angles and equate to 180
3x + 94 + x + 30 + 2x - 4 = 180
6x + 120 = 180 ( subtract 120 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
Then
∠ AOC = 3x + 94 = 3(10) + 94 = 30 + 94 = 124°
MULTIPLE CHOICE
A sphere has the same radius as a cylinder. In the cylinder, the radius equals the height. If
the cylinder has a volume of 150 cubic units, what is the volume of the sphere?
A
450 cubic units
B
200 cubic units
С
112.5 cubic units
D
50 cubic units
Answer:
B
Step-by-step explanation:
150 = πr² * r
r = 3.62783
V = 4/3 (π * 3.62783³)
V = 199.99 cubic units or 200
* PLEASE HELP *
4
If f (x) = 3(x+5) +-, what is f(a+ 2)?
7
4
O A. 31a + 7) +
a +2
4
B. 347(a) + 5) +
f (a) + 2
C. 3(a + 2) + 2+2
-
a
Answer:
C is the only correct answer
Which transformations, when performed together, would carry graph A onto graph B? Choose all that apply.
A. A reflection over the x-axis
B. A translation of 4 units up
C. A vertical compression with a scale factor of 1/2
D. A vertical stretch with a scale factor of 2
Answer:
a and b I know for sure, im not sure about the others sorry
URGENT BRIANLIEST WILL BE GIVEN
Whats the volume of the barn?
Answer:
7840 ft^3
Step-by-step explanation:
give brainliest please!
(10*14*40) + (14*40*8)1/2
What is the value of the expression?
Any help?
Answer:
32
Step-by-step explanation:
4 ÷ 1/8
make 4 into a fraction
4/1 ÷ 1/8
when dividing a fraction you change the divide into multiply and you flip the second fraction:
4/1 × 8/1 = 32
Answer:
32
Step-by-step explanation:
1/8 = 1 / 8 = 0.125 4 / 0.125 = 32
mad skillz gl cheating on your I-ready test
help i need a answer asap
The number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.
How to find the probability of an event?The probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The probability of rolling a number less than 3 on a number cube is 2/6.
[tex]P( > 3)=\dfrac{2}{6}[/tex]
Here, the Jennifer rolls a number cube 60 times. Thus, the number of times she rolled the number less than 3 in this cube is,
[tex]n=\dfrac{2}{3}\times60\\n=40[/tex]
Thus, the number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.
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This figure represents an arrow painted on a walkway 12 times.
What is the area of the walkway that is painted with the 12 arrows?
70 cm²
90 cm²
840 cm²
1080 cm²
The area of the walkway that is painted with the 12 arrows will be 840 cm². Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
This figure represents an arrow painted on a walkway 12 times.
The figure is given below.
The figure is the combination of a triangle and a rectangle. Then the area of the figure will be
Area = 1/2 x 8 x 5 + 10 x 5
Area = 20 + 50
Area = 70 cm²
Then the area of the walkway that is painted with the 12 arrows will be
Area of the walkway = 70 x 12
Area of the walkway = 840 cm²
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precal—easy one question. please help!!
find the equation (in terms of x) of the line through the point (-3,-3) and (2,-2)
Answer:
y = (1/5)x - 12/5
Step-by-step explanation:
First, you need to find the slope (m). This can be done by using the given points and the following equation.
y₁ - y₂ = m(x₁ - x₂)
-3 - (-2) = m(-3 - 2)
-1 = -5m
1/5 = m
Next, you need to find the y-intercept (b). You can do this by using the slope and the values of a point in the following equation.
y = mx + b
-2 = (1/5)(2) + b
-2 = 2/5 + b
-2.4 = b
-12/5 = b
Putting the information together, you are left with your final equation.
y = (1/5)x - 12/5
When I stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°. Approximately how tall is my home?
The height of the home is 20.71 feet and when stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the house, hence:
tan(46) = h/20
h = 20.71 feet
The height of the home is 20.71 feet and when stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°.
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