Alyssa's company makes a profit of $175,000.
The company then experiences a loss of
$25,000 each month for the next five months.
Which expression represents the net profit
after five months?

Answer: 0.4

Step-by-step explanation:

If the height of the first bounce is 5.5, then you find what 60% of 5.5 is and to do that you do 60/100 and x/5.5 so cross multiply 60x5.5 to get 330 then divide by 100 to get 3.3 and you do that 5 more times to get 0.42768 which when rounded to the tenths place, gets you 0.4

The solution for system of equation provided as per the given question will be x = -19 and y = 55 or (-19,55).

It is given that the equations are:

y = –3x – 2

Simplifying it further, we get:

y + 3x = -2 (equation 1)

5x + 2y = 15 (equation 2)

Multiplying y + 3x = -2 by 2 and subtracting from 5x + 2y = 15, we get:

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Plugging the value of x in the equation y + 3x = -2, we get:

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

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Answer:

Based on the calculations, the store with the better buy is The Eyewear Shoppe

Step-by-step explanation:

Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.

For The Eyewear Shoppe:

The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.

Based on this promotion, you can get 2 sunglasses for $60

For Sunglass House

Sunglass House sells the sunglasses go 20% off the $40 retail price.

A Sunglass = $40 - ( 20%× $40)

= $40 - $8

= $32

Two sunglasses will cost = $32 × 2

= $64

Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe

If Jake buys 2 sunglasses from Sunglass House the total price would be $64. The Eyewear Shoppe would get you two sunglasses for $60. This means that the The Eyewear Shoppe is a better buy.

The amount of snow on Peyton's lawn after 2 hours is 4 inches

amount of snow after t hours y = 8 - t

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable to suit the problem

y = output variable = amount of snow remaking

m = slope = 1 inch per hour

x = input variable = number of hours

c = y intercept = 8 inches of snow on Peyton's lawn

The equation as described in the problem is represented using linear function as as follows

y = 8 - x

in 2 hours x = 2

y =8 - 2 = 4 inches

The quantity of snow after t hours

x = t

y = 8 - t

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To find the reference angle of a negative angle, follow these steps:

Determine the positive equivalent: Add 360 degrees (or 2π radians) to the negative angle to find its positive equivalent. This step is necessary because reference angles are always positive.

Subtract from 180 degrees (or π radians): Once you have the positive equivalent, subtract it from 180 degrees (or π radians). This step helps us find the angle that is closest to the x-axis (or the positive x-axis) while still maintaining the same trigonometric ratios.

For example, let's say we have a negative angle of -120 degrees. To find its reference angle:

Positive equivalent: -120 + 360 = 240 degrees

Subtract from 180: 180 - 240 = -60 degrees

Therefore, the reference angle of -120 degrees is 60 degrees.

In summary, to find the reference angle of a negative angle, first, determine the positive equivalent by adding 360 degrees (or 2π radians). Then, subtract the positive equivalent from 180 degrees (or π radians) to obtain the reference angle.

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The decimal number 3.16 in the form of the simplest fraction is 79/25.

The portion or part of the complete item is represented by a fraction. It stands for the equal components of the whole. The denominator and numerator are the two components of a fraction. The top number is referred to as the numerator, and the bottom number is referred to as the denominator.

Consider the decimal number,

Let x = 3.16

Then,

x = 3.16 = 316/100

The fraction then can be simplified as,

x = ( 158 × 2)/ (50 × 2)

x = 158/50

x = ( 79 × 2)/ ( 25 × 2 )

x = 79/25

Hence, the number 3.16 in the simplest fraction is 79/25.

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We know that, the trigonometric relationship -

sin(x) = C.O/ h

where,

C.O = opposite leg

h = hypotenuse

using these values in the equation we have -

sin(20) = 5/c

c = 5/sin(20)

c = 14.61

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Disclaimer : The diagram for the question is attached.

Answer:

b

Step-by-step explanation:

that means she could have

3 males

2 males then a female

or a male, then a female, then a male again.

but same goes for female

Answer:

16

Step-by-step explanation:

Step-by-step explanation:

100℅=1225

43℅=x

criss cross

100℅x=526.75

100℅ 100℅

x=526.75 are studing science or engineering

100℅=1225

7%=x

do it like this

527 students at a university college  are studying science or engineering, 86 students own a car and 1005 students say it is a good college.

percentage, a relative value indicating hundredth parts of any quantity.

There are 1225 students at a university college.

43% are studying science or engineering

43/100×1225

0.43×1225

526.75

527

Hence 527 students at a university college  are studying science or engineering.

7% own a car

7/100×1225

0.07×1225

85.75=86

86 students at a university college own a car.

82% say it is a good college.

82/100×1225

0.82×1225

1004.5=1005

Hence, 1005 students at a university college say it is a good college.

Therefore, 527 students at a university college  are studying science or engineering, 86 students own a car and 1005 students say it is a good college.

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The area of a stone with a base Length of 10 inches is 370 square inches.

The area of a parallelogram-shaped stone, we can use the formula: Area = base × height. In this case, the base length of the stone is given as x inches, and the height is (4x - 3) inches.

Therefore, the polynomial that describes the area of the stone is:

Area = base × height = x × (4x - 3) = 4x^2 - 3x

To find the area of a stone with a base length of 10 inches, we substitute x = 10 into the polynomial:

Area = 4(10)^2 - 3(10)

    = 4(100) - 3(10)

    = 400 - 30

    = 370 square inches

Therefore, the area of a stone with a base length of 10 inches is 370 square inches.

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Answer:

I,dont know but use M A T H W A Y it will explain with all the stepp by step and answere hope it help

Step-by-step explanation:

Answer:

1. 74 because 8(10) - 6

2.4(4) - 5(3) = 1

3. 7(3)+8(4) * 2 = 106

4. A

5.a

6. 20.5

7.26

8.a

9.a

10a

Step-by-step explanation:

Answer:

6 3/8 pizzas

Step-by-step explanation:

She estimates that each player will eat three eighths if a pizza and there are 17 players.

Therefore, we have to multiply 3/8 by 17:

3 / 8 * 17 = 6.375 pizzas = 6 3/8 pizzas

They will eat 6 3/8 pizzas.

The ball travels a total distance of 5 feet as it bounces infinitely many times. Total distance (both directions) = 2 * 2.5 = 5 feet

To answer your question from Rogawski 2e section 11.2 exercise 48, we need to find the total distance traveled by the ball as it bounces infinitely many times.

The ball is dropped from a height of 1 foot and returns to 3/5 of its previous height after each bounce. To calculate the total distance, we'll use the geometric series formula:

Total distance = a(1 - r^n) / (1 - r)

where 'a' is the first term, 'r' is the common ratio, and 'n' is the number of terms. In this case, 'n' approaches infinity since the ball bounces infinitely many times. The total distance consists of both downward and upward distances, so we'll need to multiply the result by 2.

The first term 'a' is the initial drop of 1 foot, and the common ratio 'r' is 3/5. As 'n' approaches infinity, the term (1 - r^n) approaches 1, making the formula:

Total distance = a / (1 - r)
Plug in the values:

Total distance = 1 / (1 - 3/5)
Total distance = 1 / (2/5)
Total distance = 5/2 = 2.5 feet

Since this accounts for only half of the distance (downward), we need to multiply it by 2 to account for both downward and upward distances:

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Answer:

x=7

Step-by-step explanation:

2x-0.4=1+1.8x

Subtract 1.8x from both sides

0.2x-0.4=1

Add 0.4 to both sides of the equation

0.2x=1.4

Divide both sides by 0.2

x=7

Answer:

Step-by-step explanation:

Monday he is left with 20,

Tuesday he will start with 20 and end with 10

Wednesday he will start with 10 and end with 5

Thursday he will Start with 5 and end with 2.5

Friday Start with 2.5

which is >3

Answer:

D) Friday

Hope it helps...

Answer:

Wouldn't it be 68,844? Because 12 divided by 3 = 4 and 17,211 x 4 is 68,844. I could be wrong but im sure that im right?

Answer in explanation:

I went over it and your answer seems correct, but the problem says 'how much money, in dollars'

There are 12 months in a year

3 x 4 = 12

17,211 x 4 = 68,844

you wrote 67.844 so possibly changing to a comma would help!

I hope this helps!

Answer:

moves it up 6 units

Step-by-step explanation:

y = f(x) + C C > 0 moves it up

f(x) = f(x) + 6 moves it up 6 units

Answer:

Vertical shift, 6 up.

Step-by-step explanation:

The entire function f(x) has a value of six added to it. That means that regardless of where f(x) was plotted on the coordinate plane, after the translation f(x) + 6, every single point would increase its value by six. Since all points would increase their values by six, the entire function would shift 6 up.

Answer:

The first one is correct. But why can't they be proven congruent

Step-by-step explanation:

The model of boxes is provided below

\(\boxed{}\boxed{}\boxed{}+\circ+\circ+\circ+\circ+\circ\)

Suppose after the shock, the economy temporarily stays at the short-run equilibrium, then the output gap Y2−Y1 is: B< (less than)As the output gap measures the difference between the actual output (Y2) and potential output (Y1), when the output gap is less than zero, that is, the actual output is below potential output.

The inflation gap π2−π1 is 0. C= (equal)When the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.12. Suppose there is no government intervention, the economy will adjust itself from short-run equilibrium to long-run equilibrium, at such long-run equilibrium, output gap Y3−Y1 is 0. C= (equal). As the long run equilibrium represents the potential output of the economy, when the actual output is equal to the potential output, the output gap is zero.13.

The inflation gap π3−π1 is 0. C= (equal) Again, when the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.14. (1 point) Suppose the Fed takes price stability as their primary mandates, then which of the following should be done to address the shock. B monetary tightening When the central bank takes price stability as its primary mandate, it aims to keep the inflation rate low and stable. In the case of a positive shock, which can lead to higher inflation rates, the central bank may implement a monetary tightening policy to control the inflation.

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Answer:

\( \boxed{ \bold{\frac{4}{3} }}\)

Step-by-step explanation:

\( \frac{ {4}^{ - 3} \: \times \: {3}^{4} \: \times \: {4}^{2} }{ {3}^{5} \: \times \: {4}^{ - 2} } \)

\( \frac{ {4}^{ - 3} \: \times \: {4}^{4} }{3} \)

\( \boxed{ \bold{\frac{4}{3} }}\)

Answer:

it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.

Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.

Step-by-step explanation:

a is wrong because it only describes positive correlation, not negative correlation.

c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.

d and f are wrong because they assume causation from correlation, which is a logical fallacy.

e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.

If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.

If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.

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The given solution by the previous solver was not correct as all sections of the excel sheet must be filled out to complete the sheet accurately. The solution by the previous solver presented an incorrect cost as Excel rejected the 1.2234 unity cost.

The numbers with decimals at the end were also incorrect as they were too long (27,751.59). An Excel worksheet is a collection of cells with various properties such as content, size, color, and formulae. It is a table that contains rows and columns of data that can be manipulated to generate meaningful results. It is used to organize, sort, and manipulate data in a meaningful way. The unity cost was presented as 1.2234 by the first solver but Excel rejected it because it has too many decimal places.

Excel considers only two decimal places in monetary values, therefore the correct value should have been 1.22. In addition, Excel also accepts monetary values with commas (,), but they should not be used as the decimal separator. A period (.) should be used instead. Thus, the value of 27,751.59 is invalid and should be corrected to 27.75. This will ensure that the Excel sheet is completed correctly and accurately. In conclusion, it is essential that all sections of an Excel sheet are completed correctly and accurately. It is also important to note that Excel has certain requirements for the correct formatting of monetary values. Commas are used as a separator for thousands, millions, and billions. The previous solver did not meet these requirements and hence presented an incorrect solution. To avoid such errors, it is always advisable to double-check the sheet before submitting it.

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You can add the same amount to each side, take the same amount away from each side, multiply or divide each side by the same positive amount, and so on when resolving an inequality.

The inequality symbol must be turned around if either side is multiplied or divided by a negative number.

Run the show 1. The imbalance image remains the same whether the same amount is included or subtracted from both sides of an disparity. Run the show 2. The imbalance image remains unaltered when both sides are duplicated or isolated by a positive number.

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The measure of angle x is x = 51°

The area of the shaded portion of the circle A = 47.17 cm²

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the area of the shaded region of the circle be represented as A

Now , the equation will be

From the figure , the line AB is a straight line

And , 129° + x° = 180°

Subtracting 129° on both sides of the equation , we get

x° = 180° - 129°

On simplifying the equation , we get

x° = 51°

So , the measure of angle x = 51°

And ,

Area of the shaded region A = Area of the sector of circle - Area of triangle

Now , sin 51° = h / 8 ( from Pythagoras Theorem )

Multiply by 8 on both sides of the equation , we get

h = 8 x ( sin 51° )

h = 8 x 0.7771

h = 6.2168

h ≈ 6.22 cm

Now , Area of the sector of circle = ( 129π ( 8 )² ) / 360

On simplifying the equation , we get

Area of the sector = 72.05 cm²

And , Area of triangle = ( 1/2 ) x 8 x 6.22

Area of triangle = 24.88 cm²

Now , Area of the shaded region A = Area of the sector of circle - Area of triangle

Substituting the values in the equation , we get

Area of the shaded region A = 72.05 cm² - 24.88 cm²

Area of the shaded region A =47.17 cm²

Hence , the area of the shaded region of the circle A is 47.17 cm²

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The function h(t)=125+(440π)t gives the height of the tip of the blade as a function of time in minutes.

What is function?

In mathematics, a function is a mathematical relationship that assigns a unique output value to each input value.

To construct a function that describes the height of the tip of a blade on a turbine with 95-foot blades, we consider the vertical motion of the blade as it rotates. Assuming the turbine is initially positioned with one blade pointing straight up and measuring time in minutes:

Determine the distance covered in one revolution:

The circumference of the circle described by the tip of the blade is equal to the length of the blade, which is 95 feet. The distance covered in one revolution is calculated as the circumference of the circle, which is

2π times the radius. The radius is the sum of the height of the turbine's center and the length of the blade.

Radius = 125 + 95 = 220 feet

Distance covered in one revolution =  2π⋅220=440π feet

Determine the height at a specific time:

Since the turbine rotates at a speed of 9 revolutions per minute, time in minutes is directly related to the number of revolutions. For each revolution, the height increases by the distance covered in one revolution.

Let t represent time in minutes, and h(t) represent the height of the tip of the blade at time t. We can define

h(t) as: h(t)=125+(440π)t

Therefore, the function h(t)=125+(440π)t gives the height of the tip of the blade as a function of time in minutes.

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Setting up a birth and death process for the number of customers in the petrol station (in service and in queue) and drawing its transition rate diagram Given, Potential customers arrive at a self-service, two-pump petrol station at a Poisson rate of 20 cars per hour.

Arrival rate = λ = 20 cars per hour Then, interarrival time = 1/λ = 1/20 hour = 3 minutes Mean service time = 5 minutes Therefore, service rate = μ = 1/5 cars per minute Therefore, service rate = μ = 12 cars per hour The system has a maximum queue length of 2, which means that no cars will enter the station if there are already two cars in the queue. This results in a rejection rate of (20-12)/(20) = 0.4 or 40%.Therefore, λ` = λ (1-p) = 20(1-0.4) = 12 cars per hour = 0.2 cars per minute The birth and death process can be represented as follows: The transition rate diagram is shown below:(b) Calculation of the fraction of potential customers that are lost The loss rate (rejection rate) is 0.4 or 40%.

Therefore, the fraction of potential customers that are lost is 0.4 or 40%.(c) Calculation of the fraction of potential customers that are lost if there was only a single pump, and the time a customer spends at a pump is exponentially distributed with a mean of 2.5 minutes. Assume the same that customers will not enter the station for petrol if there are already two cars in the queue. The service rate is given as μ = 1/2.5 = 0.4 cars per minute, which is 24 cars per hour. Using Little's Law, the average number of cars in the system = L = λW, where W is the average time spent in the system.

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The dimensions of the closed rectangular box with a square base and volume of 8000 cubic centimeters that can be constructed with the least amount of material are 20 cm.

Let the length and width of the rectangular box with a square base be x.

and the height is y.

The volume, V = 8000 = \(x^{2} y\)       --------(1)

The surface area, S = 2\(x^{2}\) + 4xy .   -------(2)

S =  2\(x^{2}\) + 4xy and  8000/ \(x^{2}\) =y     -------( from 1 and 2)

so, S= 2\(x^{2}\) + 4x(8000/ \(x^{2}\))

S= 2\(x^{2}\) + 32000/x

to find the least amount of material to be used, we will differentiate the surface area w.r.t x.

ds/dx= 0 = 4x - 32000/\(x^{2}\)

therefore, we have, 4x = 32000/\(x^{2}\)

                                 4\(x^{3}\) =32000

                                   \(x^{3}\) =8000

                                     x=20

Hence, The dimensions of the closed rectangular box with a square base and volume of 8000 cubic centimeters that can be constructed with the least amount of material are 20 cm.

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