Deion is in the business of manufacturing phones. He pays a cost of $50 per phone produced for materials and labor and also must pay a daily fixed cost of $200 to rent the building and equipment. Make a table of values and then write an equation for � , C, in terms of � , p, representing total cost, in dollars, of producing � p phones in a given day.

Answers

Answer 1

Answer:

C = 200 + 50p

Step-by-step explanation:

Here's a table of values:

Number of phones (p) 0 1 2

Cost of materials and labor ($50p) 0 50 100

Total cost ($200 + $50p) 200 250 300

From the table, we can see that the total cost, C, is equal to the fixed cost of $200 plus the cost of materials and labor, which is $50 per phone produced. So, the equation representing the total cost in dollars of producing p phones in a given day is:

C = 200 + 50p


Related Questions

what is the correct answers

Answers

The inequality to model the situation will be 24b ≤ 250

How to calculate the inequality

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Based on the information, the inequality to model the situation will be 24b ≤ 250. The number of baseball will be:

24b ≤ 250

b ≤ 250 / 24

b ≤ 10

The number of baseball will be 10 or less.

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NEED HELP NOW DUE ON FRIDAY 25 POINTS!!!!!!!!!!!!!!
Find the perimeter and area of triangle ABC with altitude BD, given A (-5, 2), B (-3, 5), C (5, 2), and D (-3, 2).

Answers

The perimeter and area of triangle ABC are 22.15 units and 15 square units

How to find the perimeter and area of triangle ABC

From the question, we have the following parameters that can be used in our computation:

A (-5, 2), B (-3, 5), C (5, 2), and D (-3, 2).

For the perimeter, we calculate the side lengths using the distance formula

So, we have

AB = √[(-5 + 3)² + (2 - 5)²] = √13

AC = √[(-5 - 5)² + (2 - 2)²] = 10

BC = √[(-3 - 5)² + (5 - 2)²] = √73

So, we have

Perimeter = √13 + 10 + √73

Evaluate

Perimeter = 22.15 units

For the area, we have

Area = 0.5 * | (x1 * y2 + x2 * y3 + x3 * y1) - (x2 * y1 + x3 * y2 + x1 * y3) |

Area = 0.5 * | (-5 * 5 + -3 * 2 + 5 * 2) - (-3 * 2 + 5 * 5 + -5 * 2) |

Area  = 15 square units

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coseca _cota =tan a/2​

Answers

coseca_cota=tan a/2 divided by 3x67342

Create an original expression of eight terms that includes at least three operations and two different variables.

Answers

Therefore , the solution of the given problem of expression comes out to be the 8 expressions are given below.

Describe this expression.

Addition, multiplication, division, and other mathematical operations are required. When combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact contains values, parameters, and operations like additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various phrases and words.

Here,

Given :

Original expression of eight terms including 3 operations are:

=> 10*2-10 =10

=> 100 * 2 -100 = 100

=> 50/2 - 10 = 15

=> 400/2 - 100 + 100 = 200

=> 500 - 100 + 200 = 600

=> 10/2 - 5=0

=> 6 * 10 - 8 = 52

=> 10*8 - 8 =72

Therefore , the solution of the given problem of expression comes out to be the 8 expressions are given below.

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why does security with a correlation coefficient -.9 have a smaller standard deviation than correlation coefficient of 0

Answers

A correlation coefficient of -0.9 means that there is a strong negative linear relationship between two variables, while a correlation coefficient of 0 means that there is no linear relationship between the two variables.

When two variables have a strong negative linear connection, the values of one variable grow while the values of the other variable fall, and vice versa. When there is no linear relationship, the values of the two variables are more densely packed around the line of best fit, resulting in a smaller standard deviation.

When there is no linear relationship between two variables, the values of the variables are randomly distributed, and there is no consistent link between them. The standard deviation is bigger in this case because the values of the two variables are more spaced apart.

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If 10 miles is about 16 kilometers how many kilometers is 40

Answers

16 × 40 = 640

Therefore, 40 miles is 640 kilometers.

5. Brad is using the following formula to model
the yearly depreciation in the new van he just
y = 25000(.9)^t
bought:
Question a): What is the y-intercept of this
exponential equation?
Question b): By what percentage is the new van
losing value each year?
Question c): What is the decay factor of the van
per year?

Answers

The y intercept is $25000, the percentage loss is 10% and the decay factor is 0.9

How to solve an equation?

An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.

The standard form of an exponential function is:

y = abˣ

where a is the initial value and b is the multiplication factor.

Let y represent the cost of a van after x years. It is given by:

y = 25000(0.9)ˣ

hence, comparing gives a = 25000, b = 0.9

a) The y intercept is $25000

b) Percentage loss = 1 - 0.9 = 0.1 = 10%

b) Decay factor = b = 0.9

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The number of boys in a school class is given by x+6 The number of girls is given by x-y. What expressions represent the total number of students?

Answers

Answer:

x+6+x-y = 2x-y+6

Step-by-step explanation:

If 65% of a number is 39 and 35% of the same number is 21, find 100% of that number. Help!

Answers

Answer:

60

explanation

divide 39 by 65%,

you will get

39 / ( 65/ 100)

= 39 * (100/65)

= 39 * (20 /13)

= 3*20

= 60

a business magazine was conducting a study into the amount of travel required for mid-level managers across the u.s. eighty-six managers were surveyed for the number of days they spent traveling each year. mid-level manager travel days traveling frequency 0 -6 13 7 -13 25 14 -20 35 21 -27 6 28 -34 4 35 and above 3 step 1 of 2 : determine the cumulative frequency of the third class.

Answers

The cumulative frequency of the third class is 73. This means that 73 out of the 86 mid-level managers surveyed spent between 14 and 20 days traveling each year.

The cumulative frequency of the third class is the sum of the frequencies of all the classes up to and including the third class. In this case, the frequency of the third class is 35, and the frequencies of the first two classes are 13 and 25, respectively. So, the cumulative frequency of the third class is:

13 + 25 + 35 = 73

This means that 73 out of the 86 mid-level managers surveyed spent between 14 and 20 days traveling each year.

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how much would $20,000 due in 50 years be worth today if the discount rate were 7.5%?

Answers

$20,000 due in 50 years would be worth approximately $6,307.51 today, if the discount rate were 7.5%.

How to calculate the present value

The present value of $20,000 due in 50 years, discounted at 7.5%, can be calculated using the formula:

PV = FV / (1 + r)^t

Where:

PV = present value

FV = future value ($20,000)

r = discount rate (7.5%)

t = number of years (50)

Plugging in the numbers, we get:

PV = $20,000 / (1 + 0.075)^50

PV = $20,000 / (1.075)^50

PV = $20,000 / 3.16907

PV = $6,307.51

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I need help with tease questions

Answers

In the expression "3(x+2)," there is only one variable, "x." There are two factors in this expression: "3" and "(x + 2)." The "3" is performing multiplication , so it is multiplying the expression "(x + 2)" by 3, the answer is product.

In mathematics, a variable is a symbol that represents a value that can change or vary. Variables are often used in mathematical equations and formulas to represent unknown or unspecified values.

A factor is an element in a mathematical expression that is being multiplied by another element In general, a mathematical expression can have multiple factors. The factors of a polynomial are the terms that are being multiplied together to form the polynomial.

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Please help me. NEED THIS ASAP

Answers

The solution to the system of Inequalities is gotten as;  (1, 1)

How to solve Inequalities Graphically?

The system of inequalities given for which we are to graph are;

y ≤ x + 2

y < -2x - 1

Now, to find the solution of the system of Inequalities, we will graph both of them on the same graph and the solution will be the point at which both lines intersect each other.

The graph attached shows that the solution of the inequalities is (1, 1)

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if two dice are rolled, what is the probability that the sum of the upturned faces will equal 7? provide your answer as a decimal and round to the hundredths place.

Answers

The probability of the sum of the upturned faces equal to 7 is Decimal answer is 0.1666667  and rounding to the hundredths place is 16.6%.

There are 66=36 potential pairs of die rolls because the two are independent of one another. Only the following pairs of rolls total seven out of those. (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). The probability of our two die rolls adding up to 7 would then obviously be: 6 ÷ 36 = 1 ÷ 6 = 0.1666667  rounding to the hundredths place = 16.6%. Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.

       

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Directions: Based on the information given in the following problem, compute the gross pay.

Regular hours worked: 40

Overtime hours worked: 4

Regular rate of pay: $7.80 per hour

Round your answers to two decimal places.

Answers

The gross pay for the given service is $343.2.

What is gross pay?

Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages.

Given that, the regular salary of some service is $7.80 per hour, we need to calculate the gross payment with over time hour, which is 4 hours and regular hour of work is 40 hours.

Therefore,

To find, gross payment, we will multiply by 7.80 by 4 and 40, and add both to get the regular salary,

Gross payment = 7.80 × 4 + 7.80 × 40  

= 7.80(4+40)

= 7.80 × 44

= 343.2

Hence, the gross pay is $343.2

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Solve for x and all missing angles

Answers

The value of x in the first figure is 10

The value of x in the second figure is 12

How to find x

In the first figure the value of x is solved using the concept of angels on a straight line which  is 180 degrees

Therefore,

6x - 10 + 4x + 6 + 7x + 14 = 180

collecting like terms

6x + 4x + 7x + 6  + 14 - 10  = 180

17x + 10 = 180

17x = 180 - 10

17x = 170

x = 10

The second figure is solved using alternate interior angles

4x + 10 = 58

solving for x

4x = 58 - 10

4x = 48

x = 12

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Pleeeeeeeeeeaaaaaaaase help me

Answers

the answer is 1!
hope this helps

each pair of opposite sides of an octagon are parallel. we know three interior angles of the octagon are and what is the degree measure of the largest interior angle of the octagon?

Answers

An octagon is a two-dimensional shape with eight sides, the degree measure of the largest interior angle of the octagon.

Each pair of opposite sides of the octagon are parallel. We can use the formula to determine the degree measure of the largest interior angle of the octagon.

The formula used is: 180(n-2)/n, where n represents the number of sides in the shape. In this case, n is 8, so the equation would be: 180(8-2)/8, which would give us the result of 160.

Therefore, the degree measure of the largest interior angle of the octagon is 160 degrees. This can also be calculated by adding up the internal angles of the octagon, as each interior angle is equal to 360 divided by the number of sides, in this case 8. 360/8 = 45, so 8x45 = 360. If we add all the angles together (4x45 + 3x45 + 3x45) we get 360, which is equal to the degree measure of the largest interior angle of the octagon.

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I NEED HELP ASAPPP PLEASEEEE!!!!
Second bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______.

Answers

When 3 is the input, the output is 10. When 10 is the input, the output is 15.

How to explain the information

It should be noted that the input for the function is time, measured in hours. The output of the function is energy usage, measured in kilo watts.

From the information, the energy usage of a light bulb is a function. The input for the function is time measured in hours. The output of the function is energy usage, measured in Kilo watts. E (energy) is a function of t (time).

The graph of the function will show energy usage on the y axis and time on the x axis.

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The distance around the edge of a circular swimming pool is 24 m.

Calculate the distance from the edge of the pool to the centre of the pool.

Give your answer in metres(m) to 1.dp
will award brainliest to correct answers.

Answers

Answer:

The distance around the edge of a circular pool is equal to its circumference. If the circumference is 24 meters, then we can use the formula for circumference of a circle, C = 2πr, to find the radius, r.

C = 2πr

24 = 2πr

12 = πr

r = 12/π

The distance from the edge of the pool to the center is equal to the radius of the pool. So, the distance from the edge of the pool to the center is:

r = 12/π = 12/3.14 = 3.83 meters (rounded to 1 decimal place)

Question 6
Isosceles trapezoids ABCD and PQRS are similar. The perimeter of ABCD is 72.8 inches and
the perimeter of PQRS is 91 inches. If the legs of ABCD measure 12.4 inches, what are the measures of the legs of PQRS?
O 19.375 inches
O 30.6 inches
O 15.5 inches
O9.92 inches

Answers

The solution is Option C.

The measures of the legs of the isosceles trapezoid is given by the proportion equation L₂ = 15.5 inches

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the measure of legs of PQRS trapezoid be L₂

Let the first trapezoid be represented as T₁ = ABCD

The measure of the legs of T₁ = L₁

And , Let the second trapezoid be represented as T₂ = PQRS

The measure of the legs of T₂ = L₂

The perimeter of T₁ = 72.8 inches

The perimeter of T₂ = 91 inches

The measure of L₁ = 12.4 inches

Now , the two trapezoids are similar

So , measure of L₁ / perimeter of T₁ = measure of L₂ / perimeter of T₂

Substituting the values in the equation , we get

( 12.4 / 72.8 ) = L₂ / 91

Multiply by 91 on both sides of the equation , we get

The measure of L₂ = ( 12.4 x 91 ) / 72.8

The measure of L₂ = 15.5 inches

Hence , the measure of legs of trapezoid is 15.5 inches

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6(j + 1) = answer?? ​

Answers

Answer:

6j+6

Step-by-step explanation:

I think it would be 6j+6 unless you didn't add the full problem.

if 800 feet of fencing is used to enclose a rectangular plot of land that borders a river, what is the maximum area that can be enclosed?

Answers

Answer:

Below

Step-by-step explanation:

The maximum area of land that can be enclosed is a SQUARE

  using the river as one side of the square means there are 3 sides that total 800 ft     800 / 3 = 266 2/3 ft per side

  area would then be L x W =    266 2/3  * 266 2/3 = 71111  1/9 ft^2

Select the correct answer. What is an approximate solution to this equation? 4/x-5= √x+3+2

Answers

Answer:

x = 0.37686455

Step-by-step explanation:

Answer: x≈0.37686455

Step-by-step explanation:

Solve for p. 25(p − 949) = 650

Answers

Answer:

p = 975

Step-by-step explanation:

Divide both sides by 25

 25 (p - 949)

-------------------- = 650/25

         25

Then Simplify

p - 949 = 26

Move 949 to the right side

And For your answer you will get:

p = 975 (sorry if i got it wrong)

a brain-building website claims that it can improve concentration, problem solving, and creativity through simple game-like experiences. darius wants to test the website's claims by creating a hypothesis and designing a study around the games provided on the website. in order to develop a solid hypothesis, darius should:

Answers

In order to develop a solid hypothesis, Darius should:
1. Identify the specific cognitive skills he wants to measure.
2. Develop a control group to compare the results of the study.
3. Establish a baseline of cognitive skills for the participants before they use the website.
4. Create a timeline for the study and determine how often participants will use the website.
5. Outline the criteria for success and failure of the study.
Final answer:

To form a solid hypothesis, Darius needs to have defined parameters for concentration, problem-solving, and creativity, a designed measurable methodology, and a control group for comparison. An example of a hypothesis could be that individuals who use the brain-building website will display significant improvement compared to those who don't. Darius could test his hypothesis by measuring the changes in the parameters in two groups of participants at different time intervals.

Explanation:

Darius needs to focus on three primary aspects to construct a hypothesis that can test the claims of the brain-building website. These include clearly defining parameters for concentration, problem-solving skills, and creativity, designing a measurable methodology to observe any potential changes in these parameters, and determining a control group for comparison with the group using the website.

An example of a hypothesis might be, 'Individuals who regularly engage with the brain-building website for a period of six weeks will display a statistically significant improvement in validated measures of concentration, problem-solving skills, and creativity compared to a control group of similar individuals not using the website.'

Darius could then design a study where one group of participants regularly use the website over a period of time while another group does not, measuring changes in the defined parameters in both groups at the start, middle, and end of the study period.

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Write your answers as decimals or whole numbers.

Answers

The dimensions of the sides DH, VW, and WX are, respectively, 14, 12, and 30.

Similar figures and side measures

Two figures are known to be similar if the ratio of their similar sides is equal to a constant.

From the polygons given, the following expressions are true;

DH/12 = 21/18

18DH = 12 × 21

18DH = 252

DH = 14

Similarly:

VW/14 = 18/21

21VW = 14 * 18

21VW = 252

VW = 12

Also;

35/WX = 21/18

21WX = 35 * 18

21WX = 630

WX = 30

Therefore the measure of the sides DH, VW and WX are 14, 12 and 30 respectively.

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<1 and <2 are vertical angles and <2 is
supplementary to <3. If m/1 = (4x + 9)° and
m<2 = (8x - 15)°, find m<3.

Answers

Since <1 and <2 are vertical angles, they are equal, so m<2 = 8x - 15 = 8(6) - 15 = 39°  , Since <2 is supplementary to <3,  m<3 = 180° - 39° m<3 = 141°

What is  vertical angles ?

Vertical angles are angles that are opposite each other when two lines cross. They always have the same measure and are supplementary angles (add up to 180°). Vertical angles are also known as opposite angles or vertically opposite angles. When two lines intersect, four angles are formed. The two pairs of angles opposite each other are known as vertical angles. This is because the lines that they share are vertical to each other, which is why they are also known as vertically opposite angles. Vertical angles can be found in a variety of shapes and figures, including parallelograms, triangles, and quadrilaterals. They can be used to solve many mathematical problems and are an important concept to learn in geometry.

4x + 9 = 8x - 15

4x - 8x = -15 - 9

-4x = -24

x = 6

Therefore, m<2 = 8x - 15 = 8(6) - 15 = 39°

Since <2 is supplementary to <3,

m<3 = 180° - 39°

m<3 = 141°

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Prove the Isosceles Base Angles Theorem
Given: GB GD, GU bisects ZDGB
Prove: ZB ZD
Statements
1. GB = GD
2.
3.
4. GU GU
5.
6. ZB ZD
Reasons
1. Given
2.
3. Definition of bisects
4.
5.
6.

Answers

Answer:

The Isosceles Base Angles Theorem states that if two sides of a triangle are equal, then the angles opposite to those sides are equal.

Given: GB = GD

Since GB = GD, triangle ZDGB is isosceles.

By definition of bisects, GU bisects ZDGB.

By the Angle Bisector Theorem, ZG/ZU = GD/GU.

Because GB = GD, ZG = ZU.

By substitution, ZG/ZU = ZG/ZU. Hence, ZB = ZD.

Therefore, ZB ZD, which proves the Isosceles Base Angles Theorem.

how can the matrix for r, the complement of the relation r, be found from the matrix representing r, when r is a relation on a finite set a?

Answers

The entries in the matrix correspond to whether or not the two elements in the set are related or not related according to the complement of the original relation.

To find the matrix for the complement of a relation, r, given the matrix representing r on a finite set a, you first need to determine the size of the matrix, which is equal to the number of elements in the set. The matrix for the complement of r is simply the matrix for r with all of its entries negated. In other words, you switch all of the 1's to 0's and all of the 0's to 1's.

For example, if the matrix for r is:

[tex]\left[\begin{array}{ccc}1&0&1\\0&1&0\\1&0&1\end{array}\right][/tex]

The matrix for the complement of r would be:

[tex]\left[\begin{array}{ccc}0&1&0\\1&0&1\\0&1&0\end{array}\right][/tex]

This gives us a matrix that represents the complement of the original relation. The entries in the matrix correspond to whether or not the two elements in the set are related or not related according to the complement of the original relation.

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