A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .

Answers

Answer 1

Answer:

Step-by-step explanation:

If the company wants to just break even, that means that the cost to produce 150 guitars is equal to the price they charge to make a 0 profit. The cost of 150 guitars is

C(150) = 100(150) + 56000 and

C(150) = 71000. That's how much it costs to produce 150 guitars. If they want to make nothing at all, they have to sell the 150 guitars for

p(x) = 71000/150 so

p(x) = 473.33 or 474

Answer 2

Answer:

473.33 units

Step-by-step explanation:

The breakeven point is the level of production at which the costs of production equal the revenues for a product. So, considering P the price of a guitar unit, we have that:

C(150) = 150.P

P = C(150)/150

P = (100.150 + 56000) / 150

P = (15000 + 56000) / 150

P = 71000/150

P ~ 473.33 units of currency per guitar


Related Questions

Which expression is equivalent to the product of 5x + 1 and 2x - 3?

Answers

Answer:

10x^2 - 13x - 3

Step-by-step explanation:

(5x + 1)(2x - 3) = 10x^2 - 15x + 2x - 3 = 10x^2 - 13x - 3

Please help thank you! Sorry for spamming

Answers

Answer:

B

Step-by-step explanation:

because of order if operations.

Answer:

B

Step-by-step explanation:

The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.

If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.

49×7³×100. -----------------. 10³×3³×7²​

Answers

Check the answer as attachment.

Please mark me brainliest

Classify each triangle with the set of side lengths given as acute, right, or obtuse.

Answers

Answer:

right angle

Step-by-step explanation:

each triangle is a different ome

Which equation represents the parabola shown on the graph?

y2 = 1.5x
x2 = 1.5y
y2 = 6x
x2 = 6y

Answers

The equation represents the parabola is x² = 6y.

What is Equation of Parabola?

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

The general equation of a parabola is given by y = a(x – h)² + k

We have equations.

The graph's parabola is a vertical parabola that is open vertically and has its vertex at the origin.

So, the equation of the parabola is equal to

x² = 4ay...............(1)

and, the equation of the directrix is y= -a.

her, the directrix is y= -1.5

Now, the equation for the parabola is

x² = 4(1.5)y

x² = 6y

Learn more about Equation of Parabola here:

https://brainly.com/question/9583416

#SPJ5

La pirámide egipcia de keops tiene un volumen de 2;574,466 metros cúbicos su base es de 230m ¿cuál es la altura de dicha pirámide?

Answers

Answer:

Según los datos brindados, la altura de la pirámide egipcia de Keops sería de:

146 metros aproximadamente.

Step-by-step explanation:

Para resolver el ejercicio, debes conocer la fórmula para calcular el volumen de una pirámide cuadrangular, el cual es el tipo de pirámide al cual pertenece la pirámide de Keops:

Volumen de una pirámide cuadrangular = [tex]\frac{L^{2} * h}{3}[/tex]

Donde:

L = Longitud de los lados de la base cuadrada.h = Altura de la pirámide.

Como queremos identificar la altura, despejamos esa variable de la ecuación, pero para simplificar un poco, vamos a escribir el volumen de la pirámide con la variable "v":

[tex]v=\frac{L^{2} * h}{3}[/tex] [tex]v * 3=L^{2} * h}[/tex] [tex]\frac{v*3}{L^{2} }=h[/tex]

Y en esta ecuación que despejamos, procedemos a reemplazar los valores de volumen y base que nos dieron en el ejercicio:

[tex]\frac{2574466m^{3} *3}{(230m)^{2} }=h[/tex]

Y realizamos las operaciones correspondientes:

[tex]\frac{7723398m^{3}}{52900m^{2} }=h[/tex] (Como hay metros cúbicos en el dividendo y metros cuadrados en el divisor, simplificamos en el siguiente paso para que solo queden metros).[tex]h = 145.9999622m[/tex]

Aproximamos el número al entero más cercano, por lo tanto, la altura de dicha pirámide con los datos dados sería de aproximadamente 146 metros.

Một ô tô đi trong 3¾ giờ đầu với vận tốc 45km/ giờ .Trong 2 giờ tiếp theo đi được 84,7 km. Hỏi ô tô đã đi được tất cả bao nhiêu km?

Answers

Answer:

Total distance cover by car = 253.45 km (Approx.)

Step-by-step explanation:

Given:

Speed of car = 45 km/h for 3¾ hour

Distance cover in next 2 hour = 84.7 km

Find:

Total distance cover by car

Computation:

Distance = Speed x time

Distance cover by car = 45 x 3¾

Distance cover by car = 168.75 km

Total distance cover by car = Distance cover by car + Distance cover in next 2 hour

Total distance cover by car = 168.75 + 84.7

Total distance cover by car = 253.45 km (Approx.)

what is the answer? can someone help

Answers

Answer: Choice B

Explanation: The rule you use is [tex]\sqrt{m*n} = \sqrt{m}*\sqrt{n}[/tex]

Answer:

Step-by-step explanation:

A: is not the answer. The answer is √144 which is 12

B: is correct. You can do it this way, by breaking the 9 and 16 apart.

C: I don't know exactly what the logic of 36 is, but it is not the right answer.

D: I can't explain why the choice would be division. It is multiplication of some sort. D is incorrect.

A house has a square room with an area of 125 f12.
What is the length of the side of the square room to the nearest tenth?help pls

Answers

It’s equivalently too 11.18

Answer:

11.2 f12

Step-by-step explanation:

Find the square root of 125.

Hope this helps!

-kiniwih426

John finds that there is a scholarship available to all personals scoring in the top 5% on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship

Answers

Answer:

He needs a score of 28.7315 to qualify for the scholarship

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean score on the ACT is 21 with a standard deviation of 4.7

This means that [tex]\mu = 21, \sigma = 4.7[/tex]

What score does he need in order to qualify for the scholarship?

The top 5%, so the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 21}{4.7}[/tex]

[tex]X - 21 = 4.7*1.645[/tex]

[tex]X = 28.7315[/tex]

He needs a score of 28.7315 to qualify for the scholarship

Find the circumference of each circle from the given radius or diameter

Answers

Answer: 7) 50.27 8) 251.33 9) 235.62 *These answers were calculated using the true value of pi, not 3.14*
using 3.14159 for pi

7) 50.26544
8) 251.3272
9) 235.61925

(i'm not sure if you're rounding to the nearest hundredth or not so i left the numbers as they were)

Find the mid point of the line segment AB where A= (-5,5) and B= (-7,4)*

Answers

Check out the screenshot.

Please Help !!
The picture of the question is attached. ​

Answers

Answer:

x = 90°

Step-by-step explanation:

Using the identity

cos²x = 1 - sin²x

Given

cos²x - sin x + 1 = 0

1 - sin²x - sin x + 1 = 0

- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )

sin²x + sin x - 2 = 0 ← in standard form

(sinx + 2)(sinx - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1

sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°

solution is x = 90°

Can anyone help me with this please? I need help along with an explanation.

Answers

Answer:

Step-by-step explanation:

SOMEONE, PLEASE HELP!!!!!!!!

Answers

Answer:

Step-by-step explanation:

i think it is b

B because i hot it and yeah

An isosceles triangle always has three interior angles that measure 60° each.
Is it true or false?

Please give real answers with explanation. 100 points + I will give brainliest. No Docs/No Files/No Links only answer with explanation.

Answers

Answer:

False

Step-by-step explanation:

The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has at least two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!

Mrs Roberts makes 'regular' and 'low-sugar' jam.
She sells both kinds of jam in 340-gram jars.

55% of the weight of her 'regular' jam is sugar.
What weight of sugar is there in a 340-gram jar?

Answers

Answer:

187 gram

Step-by-step explanation:

Regular jam = low sugar jam = 340-gram jars

55% of the weight of her 'regular' jam is sugar.

What weight of sugar is there in a 340-gram jar?

Weight of sugar in a 340-gram jar of regular jam = 55% of 340

= 55/100 × 340

= 0.55 × 340

= 187

Weight of sugar in a 340-gram jar of regular jam = 187 gram

53% of 80
? What is the percentage?

Answers

Answer:

42.4

Hope that this helps!

Answer: 66.25%

Step-by-step explanation:

53/80 x 100= 66.25%

Question 14 of 42
What is the slope of the line represented by the equation y- 6 = 5(x - 2)?
A. 6
B. -5
C. 2
D. 5

Answers

Point-Slope form:

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

The slope is represented as m-term. Hence the slope is 5.

Answer

The slope is 5.

There are 5 trees in Melinda's front yard. 2 of them are maple and 3 are oak. What percent
of the trees in Melinda's front yard are maples?

Answers

That would be 40%

Explanation:
2 divided by 5= 0.4
Move the decimal to the right twice is 40%
5 trees = 100%
2 = ?
2x100\5= 40%

rose has $500 in her savings account she earns simple interest at 5% per annum. calcutate the interest she earns after two year.​

Answers

Answer:

$50

Step-by-step explanation:

Interest = PRT/100

Principal P = $500

Rate R = 5%

Time T = 2years

Get the interest

Interest = 500*5*2/100

Interest = 5 * 5 * 2

Interest = $50

Hence the interest eaned after 2years is $50

HELP ASAP
Distinguish whether the following expression has like terms and identify them. If it does, separate the like terms from the rest of the terms and organize the expression in a way that you can combine the like terms. Combine the like terms and write the expression in simplest form. Show all of your work.

-3x3z2 + 2xz + 4x3z2 − 2x2z3

Answers

-1x 9z 7 tedgrfgtrfftrfft :)

Toula has just baked a cake in the shape of a rectangle. She
wants to divide the cake into two right-angled triangles by
cutting along a diagonal of the cake. Toula is then going to place
a cake ribbon around the outside of each of the two triangular
pieces of cake. If the length of the cake is 32 cm and its width is
24 cm, how much cake ribbon will she need to buy, giving your
answer to an appropriate accuracy.

Answers

Ok great I know the answer is 56 .

what is (2x2 + 4x − 3)(x2 + 2) distributived ?

Answers

Answer:

2x⁴ + 4x³ + x² + 8x - 6

Step-by-step explanation:

(2x² + 4x - 3)(x² + 2)

2(x² + 2) · x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x³ + 8x - 3x² - 6

2x⁴ + x² + 4x³ + 8x - 6

2x⁴ + 4x³ + x² + 8x - 6

1 1/4 hour =
minutes. .​

Answers

Answer:

165 minutes

Step-by-step explanation:

We know,

1 hour = 60 minutes

Therefore,

[tex] \frac{11}{4} hour =( 60 \times \frac{11}{4} )minutes[/tex]

= 165 minutes (Ans)

Is the missing side length a leg or the hypotenuse?

Answers

Answer:

the missing side is

[tex] \sqrt{9 {}^{2} + 12 {}^{2} } = 15 \: yards[/tex]

Answer: Hypotenuse

Step-by-step explanation:

This is a right triangle because it has a right angle, and the longest side of a right triangle is the Hypotenuse. The question mark in this image is asking about the longest side of this triangle, so therefore, it is the hypotenuse, not a leg.

ctividad 1:

Las edades de un grupo de niños son: 5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8


Determina las Medidas de Centralización (Media, Mediana y Moda) y las medidas de Dispersión (Desviación media y Desviación estándar).
necesito ayuda

Answers

Respuesta:

Media = 6

Mediana = 6

Modo = 6

Desviación media = 1

Desviación estándar = 1.317

Explicación paso a paso:

Dados los datos:

5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8

Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8

La media: Σx / n = 96/16 = 6

El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)

La mediana = 1/2 (n + 1) ésimo término

Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6

La desviación media = Σ (x - media) / n

Usando la calculadora, la desviación media = 1

La desviación estándar = √ (Σ (x - media) ² / n-1)

Desviación estándar = 1.317

a right triangle whose acute angles have measures 5x and 4x.

Answers

Answer:

x=10

50 and 40

Step-by-step explanation:

The sum of the angles of triangle is 180

90 +5x+4x = 180

Combine like terms

90 +9x =180

Subtract 90 from each side

9x = 180-90

9x = 90

x = 90/9

x = 10

The angles are 5x = 5*10 =50  and 4x = 4(10)= 40

Solve for x.

•none of these
•21.8
•68.2
•66.42
Please helppp

Answers

Answer:

21.8

Step-by-step explanation:

5m is adjacent and 3m is opposite so you use the formula

tan theta=opposite/adjacent

Please help this is due today!!

Answers

Answer:

F(x) plus or minus would shift up or down...

1/3 f(x) "shrinks everything down by 1/3

the first answer is the correct choice

Step-by-step explanation:

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