A firm produces a product that has the production cost function C(x)=220x+3905 and the revenue function
R(x)=275x. No more than 22 units can be sold. Find and analyze the break-even quantity, then find the profit function.
The break-even quantity is 71 units.
(Type a whole number.)
If the company can produce and sell no more than 22 units, should it do so?
OA. Yes. Since 22 is greater than the break-even quantity, production of the product can produce a profit.
OB. Yes. Since 22 is less than the break-even quantity, production of the product can produce a profit.
C. No. Since 22 is equal to the break-even quantity, production of the product cannot produce a profit.
D. No. Since 22 is less than the break-even quantity, production of the product cannot produce a profit.
Write the profit function.
P(x)=

Answer:

Not 100% sure

Step-by-step explanation:

Image result for how to simplify 5(2x-8) using distributive property

The formula for the distributive property is expressed as, a × (b + c) = (a × b) + (a × c); where, a, b, and c are the operands. Here, the number outside the brackets is multiplied with each term inside the brackets and then the products are added.

There are total 77 students in the sixth grade.

Given, there are 28 students that have braces.

out of which there are 4 students with braces for every 7 students.

Therefore, 4 ₊ 7 = 11, which means every 11 member has 4 members with braces.

Therefore, based on the given conditions, formulate:

28 × (4 ₊ 7) ÷ 4

28 × 11 / 4

now cross out the common factors.

7 × ( 11)

multiply the above terms.

77

hence we get the answer as 77 students in total in the class.

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The perimeter of tr8angle DEF that is similar to triangle ABC is: 18 cm.

If two triangles are similar to each other, and the perimeter of one is A with a side length of a, and the perimeter of the other is B with a side length of b, then, the following below is the ratio of their perimeters.

Perimeter of A/perimeter of B = a/b

Given that triangles ABC and DEF are similar triangles, we have the following:

Perimeter of triangle ABC = x

One side length of triangle ABC = 4 cm

Perimeter of triangle DEF = 12 + 6 + 9 = 27 cm

One side length of triangle DEF = 6 cm

Therefore:

x/27 = 4/6

Cross multiply

6x = (27)(4)

6x = 108

6x/6 = 108/6

x = 18

Thus, the perimeter of tr8angle DEF that is similar to triangle ABC is: 18 cm.

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Inequality that represents the coordinates that are not the solutions of this inequality is x < 7.5. The graph of the inequality is attached at the end.

The various operators used in inequalities for expression are -

Given is a inequality in one variable which is → x + 3.8 > 11.3.

PART - A

The inequality that represents the coordinates that are not the solutions of this inequality is -

x + 3.8 < 11.3

or

we can simplify it to get -

Subtract 3.8 from both sides -

x + 3.8 - 3.8 < 11.3 - 3.8

x < 7.5

PART - B

In order to plot the graph of this inequality, firstly we will plot the line of equation -

x = 7.5.

Since, the inequality is strict, make a dashed line to represent the equation.

Take the coordinates of origin O(0,0), and substitute it in the inequality -

0 < 7.5

which is true. Therefore, we will shade the complete side where origin lies.

The graph of the inequality is plotted an attached with the answer.

Therefore, inequality that represents the coordinates that are not the solutions of this inequality is x < 7.5. The graph of the inequality is attached at the end.

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The question that can be represented by the equation: ?× 1 5\8 = 1\3 is a. What fraction of the trip has Andre completed?.

It was stated that  from home to a festival that is 1 5\8 kilometers away, and later after some moments we were told that He takes a quick rest after walking 1\3 kilometers.

Then if we were to know the fraction of the trip has Andre completed, then the calculation will be ?× 1 5\8 = 1\3 which makes the option A that was chosen to be correct.

Therefore, option A  is correct.

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CHECK THE MISSING OPTIONS;

a. What fraction of the trip has Andre completed?

b. How many more kilometer does he have to walk to get to the festival?

c. What fraction of the trio is left.

d. How many kilometers is it from home to the festival and back home?

The slope of the line representing number of tests on the y-axis and the time in weeks on the x axis is 0.75.

As per the given question;

The total number of week is 36 weeks.

The total test conducted is 27.

As, number of tests are represented on the y-axis and the time in weeks on the x axis.

The slope is constant for the text and weeks.

Thus, slope (m) is determined  as;

m = Δy/Δx

m = number of tests/time in weeks

Put the values.

m = 27/36

m = 0.75

Therefore, the slope of the line representing number of tests on the y-axis and the time in weeks on the x axis is 0.75.

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Answer:

89.01 calariese is answer

Answer: 6127mL

Step-by-step explanation:

6L 127mL=

6L+127mL=

6L*1000mL/1L + 127mL=

6*1000/1 mL + 127mL=

6*1000 mL + 127mL=

6000mL + 127mL=6127mL

Answer:  3 answer

Step-by-step explanation:

In arithmetic, a shape is translated when it is moved up, down, left or right. The translated shapes are congruent to the original shapes because they appear to be the same size. Just one or more of their routes have been changed. No changes to the shape are made because it is simply being moved from one location to another.

By utilizing the aforementioned guidelines, we can move the provided graph to the left, right, up, or down and graph the translated graphs. The coordinates of some points on a graph can be used to translate a graph as an alternative to this. Translation f(x + k) + C for a function graph To get the new x and y coordinates of each point when the graph of the function f(x) is supplied, simply select a few key spots on the graph (where the shape is changing or turning) and proceed as follows.

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The square roots of 36,196,225 and 400 are ±6,±14,±15 and±20

There exits two square roots of any number one with positive sign and one with negative sign

The first number we have is 36

The square roots of 36 = ±√36 = ±6  or it can be written as 6 and -6

The second number we have is 196

The square roots of 196 = ±√196 = ±14 or it can be written as 14 and -14

The third number we have is 225

The square roots of 225 = ±√225 = ±15  or it can be written as 15 and -15

The fourth number we have is 400

The square roots of 400 = ±√400 = ±20  or it can be written as 20 and -20

Hence, the square roots of 36,196,225 and 400 are ±6,±14,±15 and±20

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[tex](\stackrel{x}{-2}~~,~~\stackrel{y}{27}) ~~ \textit{lies on }\textit{\LARGE f}\qquad \textit{so then}\qquad f(\stackrel{x}{-2})~~ = ~~\stackrel{y}{27}[/tex]

Answer:

$50400

Step-by-step explanation:

5/100*4000=200+4000=4200*12=50400

Answer:

$4,368

Step-by-step explanation:

At the beginning of the first year, the principal (amount deposited) is $4000 at 4% interest.

The rate of interest in decimal is r = 4%/100 = 0.04

Interest for 1 year = P x r = 4000 x 0.04 = $160

So at the end of the first year, Marty's 4000 deposit will have grown to $4,000 + $160 = $4, 160

He deposits this amount into a new account at 5% interest
Interest rate r = 5%/100 = 0.05
Interest = 4160 x 0.05 = $208.00

Total money at the end of the second year = 4160 + 208 = $4,368

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part. Price Elasticity of Supply is 2.185.

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.

Price Elasticity of Supply is buyers' responsive change in quantity supplied due to change in Price.

P Es Formula = % change in quantity supplied / % change in price.

Given : % change in supply = 59 ; % change in price = 27

So, P Es = 59 / 27 = 2.185

% change in supply > % change in price & supply is > 1 . So, Supply is Elastic.

Therefore the price elasticity of supply for Barbie's Bakery's multigrain loaf is 2.185.

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Answer:

22d

Step-by-step explanation:

The amount that Yolanda can expect to have in her account at the end of 2 years is $8,068.28.

The amount of money that Yolanda deposits twice in a year represents an annuity. An annuity is a series of payment that is made over a specified period of time. An ordinary annuity is when payment is made at the end of each period and not at the beginning of the period. Yolanda's deposit is an ordinary annuity.

When the amount deposited in an account earns interest that is compounded semi-annually, it means that both the amount that is invested and the interest that is already accrued increases in value two time in a year, every six month.

The formula that can be used to determine the future value of the amount that was deposited in the account is:

Future value = amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

1,900 x[ {(1.04^4) - 1} / 0.04] = $8,068.28

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Answer:

A. Vertex (-3, -1)

B. y-intercept: (0, 8)

C. x-intercept: (-2, 0), (-4, 0)

D. Domain: (-∞, ∞)

E. Range: [-1, ∞)

F. x = -3

G. Coordinates:

(-5, 3)

(-4, 0)

(-3, -1)

(-2, 0)

(-1, 3)

Step-by-step explanation:

y = x² + 6x + 8

   (x + 2)        (x + 4)

    x + 2 = 0   x + 4 = 0

         -2   -2       -4    -4

           x = -2        x = -4

x-intercept: (-2, 0), (-4, 0)

y-intercept: (0, 8)

y = x² + 6x + 8

y = (0)² + 6(0) + 8

y = 8

Vertex:

      a        b     c

y = x^2 + 6x + 8

       -b        -(6)      -6

x = ------- = ------ = ------ = -3

      2a        2(1)      2

y = x^2 + 6x + 8

y = (-3)^2 + 6(-3) + 8

y = 9 - 18 + 8 = -1

Vertex: (-3, -1)

Graph:

(I'm gonna try my best to draw it)

                         10-

                          9-

                          8-

                          7-

                          6-

                          5-

                          4-

                          3-

                          2-

 ↑         ↑             1-

--*---|-----*------|-------|-----|-----|-----|------|------|-----|-------|------|-------|------|

-4  -3   -2    -1              1     2    3     4      5     6      7      8      9    10

      *                -1  -    

                        -2 -

                        -3 -

                        -4 -

                        -5 -

                        -6 -

                        -7 -

                        -8 -

                        -9 -

                       -10 -

Range: (y-axis)

Min is y = -1

[-1, ∞)

I hope this helps!

The solution using the elimination method for the values of x, y and z are -1, 3 and 4 respectively.

To solve multiple equation in three variables using the elimination approach, we can either add or subtract the equations. To eliminate a variable, we add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are equal.

Let us classify the given equations as:

3x + 4y - 5z = -11   →→→→ (A)

4х + у- z  = -5      →→→→→(B)

x- 3y + 3z = 2      →→→→→(C)

Multiplying equation(C) by 3 and equation (A) by 1 and subtracting we get:

3x + 4y - 5z = -11

3x  - 9y + 9z=    6

13y-14z=-17→→→→→→(D)

Multiplying equation(C) by 4 and equation (B) by 1 and subtracting we get:

4x-12y+12z = 8

4x + y - z    = -5

-13y+13z=13

or, z-y=1→→→→→→→(E)

Multiplying equation(E) by 13 and equation (D) by 1 and adding we get:

-13y+13z=13

13y-14z  =-17

-z=-4

or, z = 4

Substituting the value of z in the equation (E) we get:

z-y=1

or,  4-y = 1

or, -y = -3

or,  y = 3

Substituting the value of z and y in the equation (A) we get:

3x+4y-5z=-11

or, 3x+12-20=-11

or, 3x=-11+8

or, x=-1

Hence the solution of x, y and z are -1, 3 and 4 respectively .

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Answer:

2.5n - 21.5

Step-by-step explanation:

[tex]-5(4 - \frac n2) + \frac1{16}(-32 + 8) \\ \\\to -5 \times 4 + 5 \times \frac n2 - \frac1{16} \times 32 + \frac1{16} \times 8 \\ \\\to -20 + \frac{5n}2 - \frac{32}{16} + \frac{8}{16} \\ \\\to -20 + 2.5n -2 + 0.5 \\ \\\to 2.5n - 21.5[/tex]

Using the normal distribution, it is found that:

a) 167 students in the class can be expected to receive a score over 60.

b) 11.07% of the class is expected to receive a score between 82 and 90.

The z-score of a measure X of a normally distributed variable with mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by:

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

The mean and the standard deviation for the scores are given, respectively, by:

[tex]\mu = 72, \sigma = 9[/tex]

The proportion of students who scored over 60 is given by one subtracted by the p-value of Z when X = 60, hence:

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

Z = (60 - 72)/9

Z = -1.33.

Z = -1.33 has a p-value of 0.0918.

1 - 0.0918 = 0.9082.

Out of 184 students:

0.9082 x 184 = 167.

167 students in the class can be expected to receive a score over 60.

For item b, the proportion is the p-value of Z when X = 90 subtracted by the p-value of Z when X = 82, hence:

X = 90:

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

Z = (90 - 72)/9

Z = 2.

Z = 2 has a p-value of 0.9772.

X = 82:

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

Z = (82 - 72)/9

Z = 1.11

Z = 1.11 has a p-value of 0.8665.

0.9772 - 0.8665 = 0.1107.

Hence:

11.07% of the class is expected to receive a score between 82 and 90.

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Answer: 16.435 < 16.49

Step-by-step explanation:

Answer:

[tex] \sf \frac{(x^3+4x^2+21x+28)}{4}[/tex]

Step-by-step explanation:

Let's simplify step-by-step.

[tex] \sf \: \frac{ {x}^{2} + 4x - 21}{4} \times x + 7[/tex]

Distribute

[tex] \sf \frac{(x^3+4x^2+21x+28)}{4}[/tex]

Answer:

A) x + 3

      4

Step-by-step explanation:

B rents for $1.62 per sq. feet is much cheap and better as compared to A

Yard and feet are used to estimate the length. Both of the units are used in the royal and US customary system of measurements. The value of one yard is equal to three feet.

To compute Square yard to Square Feet, where Square yard is equal to 9 Square Feet, multiply the value in Square yard by 9. one can also use the Square yard to Square Feet calculator.

1 yard² = 9 feet²

A rents for $27 per yard squared

hence A rents $27 for 9 feet squared

hence A rents $3 per feet squared( $27/9) which is costlier than $1.62 per feet squared

Hence B is better as it is cost effective.

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Answer:10

Step-by-step explanation:

6+4=10

The domain of the function is -5 ≤ x < 3 and the range is 0 ≤ y ≤ 2

We have the following endpoints on the graph of the function;

(x, y) = Closed (-5, 2)

(x, y) = Open (3, 2)

Minimum y = 0

Remove the y values to determine the domain

x = Closed -5

x = Open 3

The closed statement represents the inequality ≤, while the closed statement represents the inequality < or >

So, we have

Domain = -5 ≤ x < 3

Also, we have:

(x, y) = Closed (-5, 2)

(x, y) = Open (3, 2)

Minimum y = 0

Remove the x values to determine the range

x = Closed 2

x = Open 2

Minimum y = 0

The above means that the y value does not include a negative value

So, we have

Range = 0 ≤ y ≤ 2

Hence, the domain of the function is -5 ≤ x < 3 and the range is 0 ≤ y ≤ 2

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Answer:

A = 5

B = 9

C = 32

Step-by-step explanation:

a. if the width of the scale factor 1 is 10, then the width of the scale factor 1/2 is 1/2 of 10. so 5.

b. same thing as a. the length for scale factor of 1 is 18 so the length for scale factor of 1/2 is 9.

c. width of scale factor 1 is 10, so width of scale factor 3.2, 10 times 3.2, is 32

Answer:

A = 5

B = 9

C = 32

Step-by-step explanation:

edg 2023