Suppose the demand d, in units sold, for a company's jeans at price x, in dollars, is d(x)=800−4x.
A. If revenue=price×demand, write the rule for the function r(x), which represents the company's expected revenue in jean sales. Then state the domain of this function.
B. If the price is $30, how much revenue will the company earn?
A. The rule for the function r(x) is r(x)=
Answers
Answer:
Sorry let me try to understand the question
Step-by-step explanation:
The domain of the function r(x) is (0, 200).
The revenue earned when the price is $30 is $20400.
The rule for the function r(x) is x(800 - 4x).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Demand:
d(x) = 800 - 4x
Price = x
Revenue = Price x demand
Revenue = r(x)
A)
The rule for r(x).
r(x) = x d(x) = x(800 - 4x)
The domain of r(x) is 0 < x < 200 i.e (0, 200).
B)
x = 30
r(x) = 30(800 - 4 x 30)
r(x) = 30(800 - 120) = 30 x 680 = 20400
C)
r(x) = x(800 - 4x)
Thus,
The answers are given above.
Learn more about functions here:
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#SPJ2
Related Questions
find the HCF of 50and70 by using euclids algorithm
Answers
Answer:
10
Step-by-step explanation:
To find,
HCF of 50 & 70 using Euclid's Division Algorithm.
Solution,
HCF(50 & 70) -- 70 = 50 × 1 + 20.
50 = 20 × 2 + 10
20 = 10 × 2 + 0.
Therefore their HCF is 10.
Answer:
10
Step-by-step explanation:
According to Euclid's Algorithm, c = dq + r , 0 ≤ r < d (where r is the remainder)
As 70 > 50, c = 70 and d = 50
Substituting values of c and d:
70 = (50 x 1) + 20
⇒ 50 = (20 x 2) + 10
⇒ 20 = (10 x 2) + 0
Therefore, the HCF is 10
Use the right triangular prism to find the total surface area of the prism. Leave label off answer.
Answers
Step-by-step explanation:
the total surface area is the sum of the 5 individual areas in the surface :
2 triangle sides (left and right).
1 back rectangle side
1 rectangle floor
1 inclined rectangle front side
to get the length of the baseline (Hypotenuse) of the right-angled triangles on the side. we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90° angle).
c² = 3² + 4² = 9 + 16 = 25
c = 5
so, now, we have everything we need.
the area of a triangle side (since it is right-angled) :
4×3/2 = 6
2 sides, that makes 12
the area of the back side
6×3 = 18
the area of the floor
6×4 = 24
the area of the inclined front side
6×5 = 30
so, the total surface area is
12+18+24+30 = 84
Please help me with my home work
2.334567890 x 3.04576879 =
Answers
Hope this helps
Please help me with this math problem!! Will give brainliest!! NO links please!! Thanks! :) (Please draw a picture)
Answers
Answer:
0.64
Step-by-step explanation:
Given the sides of a triangle, we can solve for any angle using the Law of Cosines: [tex]a^2=b^2+c^2-2bc(cosA)[/tex]
Our variables:
a = 27
b = 36
c = 45
B = 90°
[tex]a^2=b^2+c^2-2bc(cosA)[/tex]
[tex](27)^2=(36)^2+(45)^2-2(36)(45)(cosA)[/tex]
[tex]720=1296+2025-3240(cosA)[/tex]
[tex]720-3321=-3240(cosA)[/tex]
[tex]-2601=-3240(cosA)[/tex]
[tex]\frac{2601}{3240} =cosA[/tex] ≈ [tex]0.80278[/tex]
[tex]cos^-(A)=cos^-(\frac{2601}{3240})[/tex]
[tex]< A = 0.63885708[/tex]
This might be wrong, but you get the method. I would repost for a better answer from someone else because I'm practically half asleep. Very sorry but I hope you get some help soon! Best of luck
Lillie and Adam are simplifying the expression 643
Whose reasoning is correct?
Answers
Answer:
The first one
"Only Lillie is correct" that's the right answer.
Step-by-step explanation:
64^2/3 = 16
Write down one prime number that lies between each of the following pairs of numbers: a) 45 and 55 b) 62 and 72
Answers
==============================================
Remember, prime numbers have only 2 factors: 1 & themselves.
For example, 5 is a prime number because it's only divisible by 1 and 5 (itself)
Now, write down some primes.
1) between 45 and 55
- 47
- it's only divisible by 1 and itself, so it IS prime
2) 62 and 72
67, because it is divisible by 1 and itself only.
====================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Adrian invested a total of $7000 in two accounts. One account pays 5% interest annually; the other pays 4% interest annually. At the end of the year, Adrian earned a total of $300 in interest. Write and solve a system of equations to find how much money Adrian invested in each account.
Adrian invested ____ in the 5% account and ____ in the 4% account.
Answers
Answer:Cost = $33 per month + Fee 1. C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2. At 9 months: 33(9) + 30 = $327
Step-by-step explanation:
Thomas lives more than 0. 55 km and less than 0. 75 km from his school.
Thomas lives from his school?
A. 0. 06 km
B 0. 50 km
c. 0. 60 km
D. 1. 30 km
Which choice could be the distance Thomas lives from school?
Answers
Answer:
D. answer po
Step-by-step explanation:
Tama yan na D
Which statement about a rotation is true? A. Rotating a right trapezoid around its vertical axis will form a cone. B. Rotating a square around its vertical axis will form a sphere. C. Rotating a right triangle around its vertical axis will form a cone. D. Rotating a rectangle around its vertical axis will form a sphere.
Answers
Rotating a shape involves moving it in a circular way around its axis
The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.
How to determine the rotation?When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape
As a general rule, the rotation of a right triangle around its axis would form a cone.
Hence, the true statement about the rotation is (c)
Read more about rotation at:
https://brainly.com/question/4289712
Answer: C. Rotating a right triangle around its vertical axis will form a cone.
Step-by-step explanation: CORRECT on Plato/Edmentum.
A software designer is mapping the streets for a new racing game. all of the streets are depicted as either perpendicular or parallel lines. the equation of the lane passing through a and b is -7x 3y = -21.5. what is the equation of the central street pq? a. -3x 4y = 3 b. -1.5x − 3.5y = -31.5 c. 2x y = 20 d. -2.25x y = -9.75
Answers
The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
We have a straight line:
[tex]-7x+3y=-21.5[/tex]
Convert it to the general form given below:
[tex]\rm y=mx+c[/tex]
[tex]\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x[/tex] or
[tex]\rm y = \frac{7}{3}x-\frac{21.5}{3}[/tex]
[tex]m = \frac{7}{3}[/tex] (Slope of AB line)
For the slope(m') of the PQ line:
[tex]\rm m'=-\frac{1}{m}[/tex] ( because AB and PQ are perpendicular to each other)
[tex]\rm m' = -\frac{3}{7}[/tex]
We know the:
[tex]\rm (y-y')=m'(x-x')[/tex]
Where (x', y') = (7, 6), we get:
[tex]\rm (y-6)=-\frac{3}{7} (x-7)[/tex]
[tex]\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63[/tex]
[tex]\rm -1.5x-3.5y=-31.5[/tex] (multiply by -1/2 on both sides)
Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5
Learn more about the straight line.
brainly.com/question/3493733
i need help this is due in 10 mins
Answers
Answer:
180 degree rotation
Step-by-step explanation:
Answer:
Reflect across the y-axis
Translate horizontally 7 units right
Step-by-step explanation:
Alright I'll try to quickly answer this for you.
Firstly you could try reflecting figure P across the y axis. That would mean multiplying the whole function times -1.
So a point like (-2,3) would be come (-2,-3), and then visualize moving that point to where it would be on figure Q. It looks like it would be on (5,-3) on figure Q. So to take (-2,-3) to (5,-3) you translate it horizontally 7 units right.
45/100•72=45/72•100
True or false
Answers
Answer:
False
Step-by-step explanation:
45/100 × 72 = 32.4
45/72 × 100 = 62.5
62.5 ≠ 32.4
Answer:
false
Step-by-step explanation:
45/100x72=32.4%
45/72X100=62.5%
When you use a (______________), you pay for your purchases later.
A credit card
B checking account
C deposit
D credit score
Answers
Answer:
A. credit card
Step-by-step explanation:
When using a credit card, the bank is paying for you. Overtime through bills you will pay that amount back usually with interest.
Each pair of shapes below are similar. Solve for each variable. Show all work necessary to justify your answer. 26 11 6 18 X = 21 a = 13 b 11 22
Answers
Answer:
x = 21
a= 22
b = 13
Step-by-step explanation:
18 / 6 = 3
3 * 7 =21
20 / 10 = 2
2 * 11 = 22
10 / 20 = 0.5
26 * 0.5 = 13
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. which of the following equations can be used to model the height as a function of time, t, in hours? assume that the time at t = 0 is 12:00 a.m. h = 0.5 cosine (startfraction pi over 12 endfraction t) 9.5 h = 0.5 cosine (startfraction pi over 6 endfraction t) 9.5 h = cosine (startfraction pi over 12 endfraction t) 9 h = cosine (startfraction pi over 6 endfraction t) 9
Answers
The equation can be used to model the height as a function is[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex] where t is time, the second option is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know the general equation for the cosine function:
[tex]\rm y = A\ cos(bx-c)+d[/tex]
Where A is the amplitude
We have a wall clock that varies from 9 feet to 10 feet.
The value of 'A' is given by:
[tex]\rm A = \frac{10-9}{2} \Rightarrow 0.5[/tex]
b is the cycle speed, we know:
[tex]\rm T = \frac{2\pi}{b}[/tex] (T is period)
[tex]\rm12 = \frac{2\pi}{b}[/tex]
[tex]\rm b=\frac{\pi}{6}[/tex]
The value of d is given by:
[tex]\rm d = \frac{10+9}{2}[/tex]
d = 9.5
The equation can be modeled:
[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex] (c =0 and y =h)
Thus, the equation is [tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex]
Know more about trigonometry here:
brainly.com/question/26719838
Answer: B, h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5
Step-by-step explanation: edge :)
3/4 plus 4/5 subtract 7/10
Answers
Hey There! Happy to Help! Your answer is below.
Answer:
17/20 = 0.85000
Step 1:
Simplify 7/10⇒ (3/4 + 4/5) - 7/10
Step 2:
Simplify 4/5⇒ (3/4 + 4/5) - 7/10
Step 3:
Simplify 3/4⇒(3/4 + 4/5) - 7/10
Step 4:
Calculating the Least Common Multiple⇒ Find the Least Common Multiple
The left denominator is : 4 The right denominator is : 5Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 0 2
5 0 1 1
Product of all
Prime Factors 4 5 20
Least Common Multiple:
20
Calculating Multipliers⇒ Calculate multipliers for the two fractions
⇒ Denote the Least Common Multiple by L.C.M
⇒ Denote the Left Multiplier by Left_M
⇒ Denote the Right Multiplier by Right_M
⇒ Denote the Left Deniminator by L_Deno
⇒ Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5 Right_M = L.C.M / R_Deno = 4Making Equivalent Fractions⇒ Rewrite the two fractions into equivalent fractions
⇒ Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 3 • 5
----------------------------- = ------------
L.C.M 20
R. Mult. • R. Num. 4 • 4
----------------------------- = -------
L.C.M 20
Adding fractions that have a common denominatorAdding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3 • 5 + 4 • 4 31
------------------ = ---
20 20
Equation at the end of step 4:
31 7
---- - ----
20 10
Step 5:
Calculating the Least Common Multiple :Find the Least Common Multiple
The left denominator is : 20
The right denominator is : 10
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 1 2
5 1 1 1
Product of all
Prime Factors 20 10 20
Least Common Multiple:
20
Calculating Multipliers :
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. 31
------------------------- = ----
L.C.M 20
R. Mult. • R. Num. 7 • 2
---------------------------- = -----
L.C.M 20
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
31 - (7 • 2) 17'
-------------- = ---
20 20
17
—— = 0.85000
20
Please help me this is due in 20 mins
Answers
Answer:
35cm
120cm^2
Step-by-step explanation:
Answer:
1. The perimeter of figure a is 36 cm.
2. The area of figure a is 60 cm².
3. The perimeter of figure b is 14.25 in.
4. The area of figure b is 7.031 in².
If it's wrong tell me
You are traveling by car to New York City. The map you will use for your journey is below. d) You plan to begin your journey in San Jose and make stops in Denver and Chicago on your way to New York City. Your father says that your journey will be about 3,000 miles. Is this a close estimation of the distance? Explain your reasoning.
Answers
Based on the cities you will go through and your starting and finishing points, your father's estimate is a close estimation of the distance.
How far is New York from San Jose?The map is not provided so we will use a general map.
The distance from San Jose to Denver is around 1,301 miles.
The distance from Denver to Chicago is around 1,004 miles.
The distance from Chicago to New York is around 796 miles.
Added together we get:
= 1,301 + 1,004 + 796
= 3,101 miles
This is close to the 3,000 miles your father estimated.
Find out more on distance at https://brainly.com/question/1839590.
Can somebody please help me? :(
Answers
Answer:
143 square meters
Step-by-step explanation:
The surface has a width of 11 meters and a length of 13 meters.
13 x 11 = 143.
Is this correct?
How much longer is a 1in button then a 3/4in button
Answers
Answer:
1/4
Step-by-step explanation:
4/4-3/4=1/4
Please help fast! (I'm not trying to rush ya)
Answers
Answer:
"LOCATION: Most temperate, deciduous (leaf-shedding) forests are located in the eastern United States, Canada, Europe, China, Japan, and parts of Russia. Deciduous forests are broken up into five zones."
Step-by-step explanation:
✖ Brazil
✓ China
✓ United States
✓ Russia
✖ Chile
Hopefully this helps you!
-Keira
A rectangle is inscribed in a circle of radius r. What is the maximum area of the rectangle
Answers
Use the graph that shows the solution to f(x)=g(x).
f(x)=−(x+2)(x−2)
g(x)=2|x+2|
What is the solution to f(x)=g(x)?
Select each correct answer.
−2
0
2
4
Answers
Answer: -2, 0
Step-by-step explanation:
The graph this represents this system is the second graph since the vertex of the absolute value function is at x=-2.
So, to find the solutions, we can find the intersection points. These are at x=-2 and x=0.
i need help with this
Answers
Answer:
Answer: (b) 5.
Step-by-step explanation:
Simple and best practice solution for (c-5)d=2 equation. ... If it's not what You are looking for type in the equation solver your own equation and let us solve it. ... 2 + 5d cd = 2 + 5d Divide each side by 'd'. c = 2d-1 + 5 Simplifying c = 2d-1 + 5 Reorder ... 11/4-t8 | | (3x^2+5x+2)+(4x^2+3x+2)= | | 4Y+7-Y=4+2Y-8 | | 10x+190=360 ...
For example, let's say with have the equation x+5 ... If we evaluate the same expression when x=10, we get 3(10)+7=30+7=37. Here's a variable expression with two variables: 3x−2y ... How do you express the phrase "a number z divided by 19" as an algebraic expression? ... How do you simplify 11c+5d−9c−9d?Let the number of cows be x and their legs be 4x. ... or, x = 7 [dividing by 2 on both sides]. ... The roots of the equation ax2 + bx + c = 0 will be reciprocal if: ... A circle of radius 10 inches has its center at the vertex C of an equilateral triangle ABC ... (a) 15, (b) 30, (c) 60, (d) 90, (e) 120. Circle Problem Answers. Answer: (b) 5.
so that you're coming purpose of each circle and find the radius and diameter below the circle
please help I need It now answer it correctly
Answers
Answer:
1.
The radius is given, so the radius is = 10
The radius is doubled to be a diameter, so (10 + 10) = 20 is your diameter
And to solve for circumference, your formula is;
C = 2πr
Where 'r' represents the radius, and 'π'(pi) is 22/7 or 3.14.
Plug in your values:-
C = 2πr
C = 2(3.14) x 10
C = 6.28 x 10
C = 62.8, so your circumference is 62.8.
2.
Your radius is half of your diameter, so,
D/2 = R
D = diameter
R = Radius
49/2 = 24.5 is your radius.
Your diameter is given, so the diameter is 49.
Use the formula we applied for circumference in our other problem;
C = 2πr
C = 2(3.14) x 24.5
C = 6.28 x 24.5
C = 153.86, so 153.86 is your circumference.
IMAGE BELOW I WILL GIVE BRAINLIEST
Answers
Answer:
A' (- 4, 6 )
Step-by-step explanation:
Since the dilatation is centred at the origin then multiply each coordinate by the scale factor , that is
A (- 6, 9 ) → A' ([tex]\frac{2}{3}[/tex] (- 6), [tex]\frac{2}{3}[/tex] (9) ) → A' (- 4, 6 )
Tanner made his father a quilt. The width is 6 5 /7 meters by 7 3/ 5 meters what is the area of the quilt?
Answers
Answer:
51.0285714…
Step-by-step explanation:
you just multiply them together.
Answer:
Step-by-step explanation:
→ Multiply the 2 lengths together
[tex]6\frac{5}{7} *7\frac{3}{5}[/tex]
→ Convert both to improper
[tex]\frac{47}{7} *\frac{38}{5}[/tex]
→ Multiply
[tex]\frac{1786}{35}[/tex]
→ Convert to mixed fraction
[tex]51\frac{1}{35}[/tex]
Need it ASAP PLEASE HELP!!!!
Answers
Answer:
25π + 30m which is approx. 108.54m
Step-by-step explanation:
First, we can work out the angle of the middle of the playground. 360 - 60 = 300°
Next, we can find out the arc length of the playground using the formula:
θ/360 × πd → 300/360 × 30π = 25π
Finally, we need to add on the two radii to find the perimeter of the playground: 25π + 15 + 15 = 25π + 30m which is approx. 108.54m
Hope this helps!
Trigonometry, how would I find the area of this parallelogram?
Answers
Answer:
A ≈ 160 cm²
Step-by-step explanation:
the area (A) of a parallelogram given adjacent sides a and b and angle Θ between them is
A = absinΘ
here a = 12 , b = 15 and Θ = 117° , then
A = 12 × 15 × sin117° ≈ 160 cm²( to the nearest cm² )
in∆BDC
use sine rule for area
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}absinC[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(12)(15)sin117[/tex]
[tex]\\ \rm\rightarrowtail 90(0.89)[/tex]
[tex]\\ \rm\rightarrowtail 80.1m^2[/tex]
Area of parallelogram=2(80.1)=160.2m^2Can pls someone help me? and show how it did it?
Answers
Answer:
You have no image so how could i solve?
Step-by-step explanation: