A company finds that if it charges x dollars for a cell phone, it can expect to sell 1,000−2x phones. The company uses the function r defined by r(x)=x⋅(1,000−2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each. At what price should the company sell their phones to get the maximum revenue?

Answers

Answer 1

Answer:

$500 will give the company the maximum revenue

Step-by-step explanation:

Given

[tex]r(x) = x (1000 - 2x)[/tex]

Required

Price to generate maximum revenue

We have:

[tex]r(x) = x (1000 - 2x)[/tex]

Open bracket

[tex]r(x) = 1000x - 2x^2[/tex]

Rewrite as:

[tex]r(x) = - 2x^2 + 1000x[/tex]

The maximum value of x is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

Where:

[tex]f(x) = ax^2 + bx + c[/tex]

So:

[tex]a \to -2[/tex]

[tex]b = 1000[/tex]

[tex]c = 0[/tex]

[tex]x = -\frac{b}{2a}[/tex]

[tex]x = -\frac{1000}{-2}[/tex]

[tex]x = \frac{1000}{2}[/tex]

[tex]x = 500[/tex]


Related Questions

A stem-and-leaf plot is most useful for which reasons below? Select all that apply.
When the measures of central tendency need to be identified.
When the data needs to be displayed in intervals.
When you want to see individual data.
When the range is wide.

Answers

Answer:

A,C,D

Step-by-step explanation:

Answer:

ITS ALL OF THEM

JUST DID IT

Simi bought a study table for $ 9000. She sold it at a profit of 20%. How much profit did she make? What is the selling price?

Answers

Answer:

cost price of a table=$9000

profit%=20%

Let profit be x

to find profit use formula,

profit%=profit/cost price*100

20%=x/$9000*100

20*$9000=100x

$180000/100=x

$1800=x

Now to find selling prie os a table use formula,

cost price +profit

$9000+$1800

$91800

therefore selling price of a table is $91800

Step-by-step explanation:

Hope this helps u!!

Need help asp being timed

Answers

Answer:

a(x) = √x+3

Step-by-step explanation:

i graphed it on desmos

Combine like terms in 3x + 2y + 2x + 4y + 1

Answers

Answer: 5x+6y+1 is the answer

Step-by-step explanation: to combine like terms that have to have the same variable so you can add them so for example you have 3x+2x which is equal to 5x then 2y+4y which is = to 6y and you also have 1 that isn't adding to anything because the others have variables

Answer:

5x + 6y + 1

Step-by-step explanation:

You are also simplifing and collecting the like terms. 3x + 2x = 5x. So that goes first as it appears first in the equation. Secondly, 2y + 4y = 6y, and that adds on to the previous answer. So far we have 5x + 6y. Now just add te 1, as it has no like value.

What is the area of the shaded region?
18 mi
19 mi
7 mi
8 mi

Answers

Answer

19 mi

Step-by-step explanation:

Choose all of the equations that are true,
DA +8=2
D
***
10

Answers

Answer:

B. 1/4 ÷ 8= 1/32

D. 1/8÷4= 1/32

E. 1/4÷4=1/16

Step-by-step explanation:

Answer:

should be B D E___________

Los boletos para la obra de teatro "Los Miserables" cuestan 15 dólares para adultos y 5 dólares para estudiantes. Si se vendieron 227 boletos y los ingresos fueron de 2,375 dólares. ¿Cuántos boletos de cada clase se vendieron?

Answers

Answer:

Se vendieron 124 boletos para adultos y 103 boletos para estudiantes.

Step-by-step explanation:

Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un  sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal.

En otras palabras, un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones significa encontrar valores para las incógnitas que hace  verdadera cada una de las ecuaciones.

En este caso, las variables son:

x: cantidad de boletos para adultos.y: cantidad de boletos para estudiantes.

Los boletos para la obra de teatro "Los Miserables" cuestan 15 dólares para adultos y 5 dólares para estudiantes. Si se vendieron 227 boletos y los ingresos fueron de 2,375 dólares, se puede expresar el siguiente sistema de ecuaciones:

[tex]\left \{ {{x+y=227} \atop {15*x+5*y=2375}} \right.[/tex]

Se elige resolver por el método de sustitución, cuyo primer paso consiste escoger una ecuación y despejar una incógnita en  términos de la otra incógnita. En este caso, se despeja la variable "y" de la primer ecuación, obteniendo:

y=227 - x

A continuación se sustituye la expresión hallada en la otra ecuación, para  obtener una ecuación con una incógnita y, luego despejar esa incógnita. En este caso, reemplazando la anterior expresión en la segunda ecuación del sistema de ecuaciones:

15*x + 5*(227 -x)= 2375

Resolviendo:

15*x + 5*227 - 5*x= 2375

15*x + 1135 - 5*x= 2375

15*x - 5*x= 2375 - 1135

10*x= 1240

x= 1240 ÷10

x= 124

Finalmente se sustituye el valor hallado en la expresión y=227 - x para despejar la incógnita restante:

y=227 - 124

y= 103

Entonces se vendieron 124 boletos para adultos y 103 boletos para estudiantes.

Item 22
At the beginning of the week, a puppy weighed 514 pounds. During the week, the puppy gains 8 ounces.

How much does the puppy weigh, in pounds, at the end of the week?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

five and three fourths

Step-by-step explanation:

eight ounces is 0.5 of a pound with is half of a pound

How many miles do you drive to school a statistical or a non-statistical question

Answers

Answer:

Non statistical

Step-by-step explanation:

Answer:

Statistical

Step-by-step explanation:

It depends on ones location because any one lives down the street from the local high school.

A non-statistical question only has one answer such as what is the freezing degree mark in Fahrenheit

Pls mark me brainiest

If both spinners are spun simultaneously, what is the probability that both spinners will land on orange?

Answers

Answer:

The probability that neither land on orange is (1/2)* (7/8) = 7/16. Hence, the probability that at least one lands on orange is 1 - 7/16 = 9/16.

Step-by-step explanation:

me big brain

Find the arc length of the partial circle. Use 3.14 for pi and enter your answer as a decimal.

Answers

Answer:

However, if you're trying to find the arc length of a partial circle, it's not the same as the circumference of the same circle wholly. You need to find out the circumference of the whole circle first before you can find the arc length (or the circumference of the partial circle).

Step-by-step explanation:

Answer:

9.42 units

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x=67º

Step-by-step explanation:

First since the supplementary angle next to 157º is in the triangle, we can find that. 180-157 = 23. Then we can use triangle angle sum theorem to find x. 180-(23+90) = 67º

Find the surface area of the ball shown. Use 3.14 for π.
Radius is 11 cm.

Answers

Answer:

379.94

Step-by-step explanation:

Hope this helps :)

Need help only on 12

Answers

Answer:

y = 3

Step-by-step explanation:

4 (1/2) + y = 10 (1/2)

2 + y = 5

-2 -2

y = 3

What is the solution of the equation? √2x – 5+ 4 = x ​

Answers

Answer:

2x−1

Step-by-step explanation:

Whats the 32nd term of the following sequence:
5, 8, 11, ...

Answers

Have you looked at the formala for this
88!!!! please mark me brainliest!

PLEASSE, PLZZ HELP MEEEE.​

Answers

Report this clown who put the first answer he’s trying to get your ip

Given that the student chosen was a female, find the probability that the student chose invisibility as their superpower. P\left( \text{invisibility }| \text{ female} \right)=P(invisibility ∣ female

Answers

Answer:

[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

See attachment for two-way table

Required

Determine [tex]P(Invisibility | Female)[/tex]

This is calculated using the following formula for conditional probability:

[tex]P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}[/tex]

From the attached table

[tex]n(Invisibility \& Female) = 32[/tex]

[tex]n(Female) = 48[/tex]

So, the equation becomes:

[tex]P(Invisibility | Female) = \frac{32}{48}[/tex]

Simplify

[tex]P(Invisibility | Female) = \frac{32/16}{48/16}[/tex]

[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]

Antoine buys 8 caramel apples for 20.00. Each caramel apple costs the same amount. What is the cost, in dollars, per caramel apple?

Answers

Answer:

2.5 per Caramel apple , just divide it , I hope that's correct and I'm sorry if it's not.

Answer:

2 dollars

Step-by-step explanation:

100


75


50


25
what is the slope of this image

Answers

Answer:

50

Step-by-step explanation:

Alright, so two of the points are: (0,25) (1,75)

Now we line them up:

(0,25)

(1, 75)

And, 0 to 1 has "1" as a difference.

That'll go on the bottom.

25 to 75 has a "50" difference.

That goes on top.

And then we get the slope of 50.

Hope this helped! :)

Answer:

Slope = 50

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

(1,75) (2,125)

125 - 75/2-1

125-75 = 50

2-1 = 1

50/1 = 50

PLZZZ HELP FAST
what is the value of y
[tex]y ^3 = 5[/tex]

Answers

Answer: y= [tex]\sqrt[3]{5}[/tex]

Step-by-step explanation:

Your answer below . You can either put in radical form or appx decimal form see below

Find the slope… and can u explain how u got it.. mark brainliest:)

Answers

Answer:

slope is (1,1) (0,3) just count number of squares, if there was an equation involved use y=mx+b

Step-by-step explanation:

∠2 ≅ ∠ because they are corresponding angles of parallel lines cut by a transversal. ∠5 ≅ ∠ by the Vertical Angles Theorem.

Answers

*see diagram in the attachement below

Answer:

∠2 ≅ ∠6 because they are corresponding angles of parallel lines cut by a transversal. ∠5 ≅ ∠8 by the Vertical Angles Theorem.

Step-by-step explanation:

We are required to find the angle that is congruent to <2 and the angle that is congruent to <5.

Already, we are given the reasons to justify the answers we get.

Thus:

<2 has matching corner as <6. Hence they are corresponding angles

<5 and <8 are vertical angles having the same vertex and are directly opposite each other. Therefore, based on the vertical angles theorem, <5 ≅ <8

find the volume! please :) ( links = blocked )

Answers

I got sent a link what does it mean

What is the median of the stem and lear plot

Answers

Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers

Step-by-step explanation:

Which equation represents a parabola opening to the right with a vertex at the origin and focus at (9,0) A. X = - 1/36y^2 B. X = - 1/6y^2 C. X = 1/36y^2 D. X = 1/6y^2

Answers

Answer:

Option C: x = (1/36)*y^2

Step-by-step explanation:

A horizontal parabola is written as

x = f(y) =  a*y^2 + b*y + c

If a is positive, the parabola opens to the right.

if a is negative, the parabola opens to the left.

And the vertex of the parabola has the y-value:

y = -b/2a

and the x value

x = f(-b/2a)

For our parabola, we know that:

Opens to the right:

Then the only options left are:

C) x = (1/36)*y^2

D) x = (1/6)*y^2

Because in both cases b = 0, both of the equations have the vertex in the point (0, 0).

Now let's see wich one has a focus at (9, 0)

If the vertex of our equation is:

(h, k)

Then the focus will be:

(h + a, k)

Where a is the directrix of the equation.

Here we know that the vertex is (0, 0) and the focus is (9, 0)

Then:

(0 + a, 0) = (9, 0)

The directrix is 9.

And the directrix is such that:

(x - h)^2 = 4*a*(y - k)

Replacing the values of h and k (both are zero) we get:

x^2 = 4*a*y

And we know that: a = 9

x^2 = 4*9*y

x^2 = 36*y

if we isolate y, we get:

(1/36)*x^2 = y

This is option C.

Then the correct option is C.  

The point P (x,y) lies on the terminal side of an angle 0= 195 in standard position. What are the signs of the value of x and y

Answers

Answer:

When we have a point (x, y), the angle that defines this point in polar coordinates is given by:

Tan(θ) = y/x

In this case, we know that θ = 195°

Then replacing that, we get:

Tan(195°) = y/x

0.268 = y/x

Now, there is a problem, we have a single equation and two variables.

So we will get:

y = (0.268)*x

This equation defines all the possible values that x and y could take such the angle in standard position is 195°.

So we only can conclude that:

x and y have the same sign.

For a given value of x, the correspondent y-value is:

y =  (0.268)*x

ace please help help ​

Answers

Answer: A

HOPE THIS HELPS

Help help yes plsssssssss

Answers

5x-3=c Is your answer

You and a friend are playing a game of chance. Every time you roll (using a fair die) a 1, 2, 3, or 4, you are successful, and your friend will pay you $1. Every time you roll a 5 or 6, you must pay your friend $2. If 65% of your rolls are successful and 35% of your rolls are unsuccessful, how much money do you expect to have won/owe by the end of the game?

You owe 41 cents

You have won 5 cents

You owe 5 cents

You have won 41 cents

Answers

Answer:

you owe $5

Step-by-step explanation:

65% wins means $65

35% losses means -$70

Answer:

You owe 5 cents.

Step-by-step explanation:

(the amount of money won)(the number of successful rolls)+(the amount of money lost)(the number of unsuccessful rolls)=expected value

65% of rolls are successful which means that  13/20 of the rolls are successful (simply convert to a fraction).

35% of the rolls are unsuccessful which means that 7/20 of the rolls are unsuccessful.

Using the equation above we can use,

(1)(13/20)+(-2)(7/20)

to find the expected value.

(1)(13/20)+(-2)(7/20)=0.05

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