Heller Company manufactures lawn mowers and related lawn equipment. The managers believe the quantity of lawn mowers sold depends on the price of the mower and the price of a competitor's mower. The worksheet entitled "Mowers" in the hw4.xlsx contains data on Heller's price, the competitor's price and the number of units sold. Use the data to estimate a multiple linear regression model, with the number of units sold as the dependent variable and the two prices as the independent variables. Based on your model, if Heller's price increased by $1 while the competitor's price remained the same, how much do you estimate that the number of units sold would change? (If the number of units goes down, answer with a negative number; otherwise answer with a positive number) Report your answer as an integer.
Quantity Sold Competitor's price Heller's price
102,000 120 100
100,000 140 110
120,000 190 90
77,000 130 150
46,000 155 210
93,000 175 150
26,000 125 250
69,000 145 270
65,000 180 300
85,000 150 250

Answer:

i hope this helps you

Step-by-step explanation:

A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set

Answer:

2x18=36

12x3=36

4x9=36

6x6=36

9x4=36

Step-by-step explanation:

All other options lead to decimals (not whole numbers)

Answer:

36 ÷ 3 = 12

36 ÷2 = 18

36 ÷ 4 = 9

36 ÷ 6 =6

36 ÷ 9 = 4

Step-by-step explanation:

Answer:

$ 74.80

Step-by-step explanation:

The subtotal cost of the meal was $91.22  including tax.

The 18% tip is added for six or more.

The tip added should reduce the meal subtotal by 18 %

Reduce $91.22 by 18%  to get ;

82/100 * 91.22 = $ 74.80

Answer:

Can you please explain what the question is that you are asking?

Step-by-step explanation:

I only see pictures and need an explanation of what needs to be done or answered in order for me to give it to you.

Horizontal changes are often the opposite of what you'd expect to see in the formula.

12:

To shrink/compress horizontally by a factor of 2/3, you need \(g(x) = f(\frac{3}{2}x)\).

Notice we have the reciprocal inside of the function notation.

13:

To translate left 5 units, you have \(g(x) = f( x+5 )\).

Notice we have the opposite sign inside of the function notation.

Answer: does someone have it cause I’m stuck to

Step-by-step explanation:

Answer:

y= 5x -9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

y= 5x -15

Gradient of given line= 5

Since parallel lines have the same gradient, gradient of the line is 5. Thus, m=5.

Substitute m=5 into the equation:

y= 5x +c

To find the value of c, substitute a pair of coordinates.

When x =1, y= -4,

-4= 5(1) +c

-4= 5 +c

c= -4 -5

c= -9

Thus, the equation of the line is y= 5x -9.

Answer:

$435,000

Step-by-step explanation:

$760 per month * 12 months = $9,120

The minimum rent requires an annual rental cost of $9,120.

The annual rent was $20,520.

The excess was $20,520 - $9,120 = $11,400.

The amount of $11,400 of the rent was due to the gross sales in excess of $150,000.

$11,400 is 4% of the amount in excess of $150,000.

Let the amount in excess of $150,000 = x.

$11,400 = 4% of x

0.04x = 11,400

x = 285,000

$285,000 is the amount in excess of $150,000.

Total gross sales volume = $285,000 + $150,000 = $435,000

Answer:

the answer is 9

Step-by-step explanation:

Since the angles are alternate exterior angles they are the same

6x + 5 = 7x - 4

Subtract 6x from both sides

5 = x - 4

Add 4 to both sides

9 = x

Answer:

x = 9

Step-by-step explanation:

Answer:

\(y = 2x - 5\)

Step-by-step explanation:

\(y = mx + b\)

We need to leave y-term as the subject of equation.

\( - 4y = 20 - 8x\)

Move 8x to subtract.

\(y = \frac{20 - 8x}{ - 4} \)

Pull the negative out of 4.

\(y = - \frac{20 + 8x}{4} \)

Simplify

\(y = - \frac{20}{4} + \frac{8x}{4} \\ y = - 5 + 2x\)

Swap x-term and constant.

\(y = 2x - 5\)

Answer:

x=19, y=\(19\sqrt{3}\)

Step-by-step explanation:

This triangle is a 30-60-90 triangle.

This means the hypotenuse (38) is double the short leg (x)

x=19

Then use the pythagorean theorem

a^2+b^2=c^2

19^2+y^2=38^2

361+y^2=1444

Subtract 361 from both sides

y^2=1083

put it in square roots and simplify

\(\sqrt{1083} =19\sqrt{3}\)

y=\(19\sqrt{3}\)

To solve this problem:

  ⇒ need to use a special right triangle theorem:

Let's consider the information given:

   ⇒ one angle is 30 degrees

      ⇒ one angle marked with a little square signifies that it is 90

          degrees

          ⇒ (all the angles added up are 180 degrees) so the last angle is                  

               60 degrees

Therefore we have a '30-60-90' triangle which states:

           ⇒ half the length of the hypotenuse (longest side of the triangle)

              ⇒ x = 38/2 = 19

          ⇒ is the square root of 3 divided by 2 of the hypotenuse

              ⇒ y = \(\frac{\sqrt{3} }{2} *38=19\sqrt{3}\)

Therefore:

    x = 19

    y = \(19\sqrt{3}\)

Hope that helps!

Answer:

40

Step-by-step explanation:

15+12+5+8= 40 we added to get our answer.

Answer:

Q = 12 meters

Step-by-step explanation:

Since all angles of the triangles are the same, the two triangles are similar. Therefore, all you need to do is a simple comparison equation like 10/15=8/x and solve.

Cross multiply, 10x=120. Divide and get x = 12.

Hope this helps!

x=5

steps

they are vertical angles

they are equal

4x+90=110

4x=20

x=5

Answer:

Step-by-step explanation:

9900

Answer:345

Step-by-step explanation:r

The value of x in the angle is 15

The given parameters are

m < CDF = (3x + 14), m < FDE = (5x -2), and m < CDE = (10x - 18)

The above means that

Line FD divides angle CDE

So, we have

CDE = CDF + FDE

This gives

10x - 18 = 3x + 14 + 5x - 2

Evaluate the like terms

2x = 30

Divide both sides by 2

x = 15

Hence, the value of x in the angle is 15

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Answer:

x = 100

Step-by-step explanation:

\(\frac{x}{5}=20\)

\(5*\frac{x}{5} =20*5\)

x = 20 * 5

x = 100

Hope This Helps

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7

We should know that in completing the square method both sides of the equation are made perfect squares.

The given equation is 5x²+20x-7=0

Solving this equation by completing the square method we have

5(x²+4x+4)=-7

This means that (x+2)=±√27/5

Simplifying further we have

5(x²+4x)=7

Then expanding to make ²HS a perfect square we have

5(x²+4x+4)=7+20

This means that 5(x²+4x)=-7

Therefore the step he could use is 5(x²+4x)=-7\

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We want to find the solution of the following system

Each equation of this system represents a line. If we have two parallel lines, the system has no solution, if we have congruent lines the system has infinite solutions, and if they just intercept each other at one point, this point is the solution for the system.

As we can see on the graph plotted on the question, those lines intercept each other at (2, 4), therefore, this is the solution.

Answer:

Around 570 to 560.

Answer:

120m^2

Step-by-step explanation:

8 x 12= 96

6 x 8= 48

48/2= 24

24+96= 120m^2

The average U.S. citizen uses approximately 88 gallons of water a day.

What is Frequency?

Frequency is a measure of how often an event occurs within a given period of time. It is typically expressed as the number of occurrences of a given event per unit of time. Frequency can be used to measure a variety of phenomena such as the frequency of sound in a given environment or the frequency of a particular chemical element in a given sample.

Selina's low-flow toilet and showerhead will reduce her total water use to just 48.4 gallons per day, a savings of 39.6 gallons of water each day. This is a 44.8% reduction in her water consumption, saving her almost 40 gallons of water per day.

By making these improvements, Selina is helping to conserve a precious resource and limit her environmental impact. Not only is she helping to conserve water, but she is also saving money on her water bill. It is estimated that a typical household can expect to save about $170 annually by making these simple changes.

In addition to her low-flow fixtures, Selina can take additional steps to reduce her water consumption. She can install a water-efficient dishwasher, reduce the frequency of her laundry loads, and install a rain barrel to collect rainwater for gardening. By making these changes, she can reduce her water consumption even further and save even more money.

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Hello there!

Your answer is B %31.05!!

Check the picture below.

so the quadrilateral is really two triangles, each with a base of 3 and a height of 6

\(\stackrel{\textit{area of the two triangles}}{2\left[ \cfrac{1}{2}(\underset{b}{3})(\underset{h}{6}) \right]\implies 2(9)\implies} \text{\LARGE 18}\)