The real estate agent's base salary is $21,000. They also receive 5% commission on total sales. How much in total sales do they have to make in order to earn $70,000 in one year?

Answer:

Number of chickens = 8

Number of pigs = 16

Step-by-step explanation:

Let the pigs = p

Let the number of chickens = c

Number of heads = 24

p + c = 24 ----------------(I)

p= 24 - c

Number of feet = 80

Chicken has 2 legs and pig has 4 legs

4p + 2c = 80 --------------(II)

Substitute p = 24 - c in equation (II)

4*(24 - c) + 2c = 80

4*24 - 4*c + 2c = 80

96 - 4c + 2c = 80          {Combine like terms}

     96 - 2c = 80        {subtract 96 from both sides}

          -2c = 80 - 96

         -2c = -16          {Divide both sides by (-2)}

           c = -16/-2

          c = 8

Plugin c = 8 in equation (I)

p + 8 = 24

    p = 24 - 8

  p = 16

Answer:

-15

Step-by-step explanation:

g(x) = 3x + 3

Let x = -6

g(-6) = 3*-6 + 3

           = -18 +3

            = -15

Answer:

True

Step-by-step explanation:

To tell if you can make a triangle or not, it is necessary that the two shorter lengths added up must equal the longer length. In this case, the two shorter lengths are 5 and 5. 5 and 5 added up is 10 and 10>8 meaning that in this case, you can make a triangle

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Answer:

Area of the square:

Area of the circle:

Probability of landing in the shaded region:

Answer:

78.5%

Step-by-step explanation:

We can find the area of both shapes then divide to find the probability.

Square area:

40 * 40 = 1600ft²

Circle area with diameter [ 1/4πd² ]:

1/4π(40)²

1/4π(1600)

0.785(1600)

1,256

Now divide both areas to find the probability.

1256/1600 = 0.785

0.785 * 100% = 78.5%

Best of Luck!

Company: Amazon, 8 Steps in the Business Model: Define the value proposition. What value does Amazon offer its customers? Amazon offers a convenient and affordable way to shop for a wide variety of products.

Identify the target market. Who are Amazon's customers? Amazon's target market is people who want to buy products online.

Determine the revenue streams. How does Amazon make money? Amazon makes money through product sales, advertising, and subscription fees.

Assess the cost structure. What are Amazon's costs? Amazon's costs include salaries, rent, and marketing.

Develop a marketing plan. How will Amazon reach its target market? Amazon's marketing plan includes online advertising, search engine optimization, and social media marketing.

Create a sales strategy. How will Amazon sell its products? Amazon's sales strategy includes a focus on customer service and convenience.

Build a team. What skills and experience does Amazon need to build a successful business? Amazon needs a team with a variety of skills, including product development, marketing, and sales.

Continuously improve. How will Amazon ensure that its business model is successful? Amazon will continuously improve its business model by listening to customer feedback and adapting to changes in the market.

The 8 steps in the business model are essential for any company that wants to be successful. By following these steps, companies can ensure that they are offering a valuable product or service to the right customers, and that they are able to make money.

In the case of Amazon, the company has clearly defined its value proposition, target market, and revenue streams.

Amazon's marketing plan is also effective, and the company has built a team with the skills and experience necessary to be successful. Finally, Amazon is committed to continuous improvement, which is why the company has been so successful over the years.

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Answer:

Find the perimeter of the rectangle. Then we have the length of the other side is 12 cm 12 \ \text{cm} 12 cm.

Answer:

12cm

15

\(15 \times15 - 9 \times 9 = \sqrt{144 = 1} } \)

By finding a common denominator between the fractions we will see that the sum is equal to -17/60

To add fractions directly, we need to find common denominators for them, so we need to find common multiples between 5, 4, and 3.

Particularly in this case, we can use as a common denominator:

5*4*3 = 60

Then we can rewrite all the fractions as follows:

4/5 = (4*12)/(5*12) = 48/60

3/4 = (3*15)/(4*15) = 45/60

1/3 = (20*1)/(3*20) = 20/60

So the sum becomes:

48/60 - 45/60 - 20/60 = (48 - 45 - 20)/60 = -17/60

That is the outcome.

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Answer:

6.28

Step-by-step explanation:

2×3.14 because this is just simple multiple

Answer:

the second answer choice

Using the arithmetic operations, the total change in her monthly electric bill over 5 months is +$10.58

For the past 5 months,

The change in her July electric bill = +$18.02

The change in her August electric bill =  +$1.03

The change in her September electric bill = -$0.44

The change in her October electric bill = -$6.84

The change in her November electric bill = -$1.19

The total change in her monthly electric bill over 5 months = Sum of all changes in her electric bill over 5 months

= +18.02+1.03-0.44-6.84-1.19

= +$10.58

Hence, the total change in her monthly electric bill over 5 months is +$10.58

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The best estimate of the true value for this data set is the mean value, which is 1000 rpm.

To calculate the mean value, we add up all the values and divide by the

number of values:

(990 + 1030 + 950 + 1050 + 1000 + 980) / 6 = 1000

So the mean value is 1000 rpm.

To calculate the standard deviation, we need to first calculate the

variance:

Variance =\([(990 - 1000)^2 + (1030 - 1000)^2 + (950 - 1000)^2 + (1050 - 1000)^2 + (1000 - 1000)^2 + (980 - 1000)^2] / 6\)

Variance = 12000 / 6 = 2000

So the variance is \(2000 (rpm)^2\).

The standard deviation is the square root of the variance:

Standard deviation = √(2000) = 44.7 rpm

The best estimate of the true value for this data set is the mean value, which is 1000 rpm.

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Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

g(x) = 2(x - 4)

g(x) = 20

Step 2: Solve for x

Answer:

x = 33

Step-by-step explanation:

( x + 20 ) + ( 4× - 5) = 180 {m||n}

5×+20 - 5 = 180

5×+15 = 180

5× = 165

× = 33

ANSWER

The equation of the line tangent to the function at the given point is:

STEP-BY-STEP EXPLANATION

The given equation is:

Step 1: Determine the 1st derivative of the equation

Step 2: To determine the slope (m) of the tangent line, insert the x-value (1) into the equation 2

Step 3: use the point-slope formula to determine the equation of the line tangent to the given function at x = 1

Hence, The equation of the line tangent to the function at the given point is:

=======================================================================

1. Take 1st derivative

2. insert the x-value (-1) to determine the slope (m)

3. Now, determine the equation of the line tangent at (-1,3)

When a detailed scoring guide or rubric is used to score open-ended questions, the result is scored.

The scoring guide assign points to special degrees of student performance. Instructors use them when a scholar's response can earn a number of the full possible factors, commonly for built-reaction items and performance responsibilities.

Rubrics and scoring guides were implemented into cutting-edge classrooms to offer college students higher know-how of what's being assessed, what standards grades are primarily based upon, and what clean and compelling product standards are addressed.

Even as scoring guides illustrate how college students can earn a certain amount of points for precise questions and responses, rubrics assign ratings primarily based on how well a pupil's reaction meets a degree of overall performance.

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The new coordinates of Q, R, T, and W. The resulting vertices are Q' = [2, 9], R' = [2, -9], T' = [12, 0], and W' = [-12, 0].

To find the vertices of the rectangle QRTW after a dilation with center (0,0) and a scale factor of 3, we can use the following steps

Find the midpoint of QR and TW

Midpoint of QR = [(2+2)/2, (3+(-3))/2] = [2, 0]

Midpoint of TW = [(4+(-4))/2, (1+(-1))/2] = [0, 0]

Use the midpoint and the scale factor to find the new coordinates of Q, R, T, and W

Q' = (3)(Q-midpoint of QR) + midpoint of QR

= (3)([2, 3]-[2, 0]) + [2, 0]

= [2, 9]

R' = (3)(R-midpoint of QR) + midpoint of QR

= (3)([2, -3]-[2, 0]) + [2, 0]

= [2, -9]

T' = (3)(T-midpoint of TW) + midpoint of TW

= (3)([4, 0]-[0, 0]) + [0, 0]

= [12, 0]

W' = (3)(W-midpoint of TW) + midpoint of TW

= (3)([-4, 0]-[0, 0]) + [0, 0]

= [-12, 0]

Therefore, the vertices of the rectangle QRTW after a dilation with center (0,0) and a scale factor of 3 are Q' = [2, 9], R' = [2, -9], T' = [12, 0], and W' = [-12, 0].

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--The given question is incomplete, the complete question is given

" I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Use The graph at the right. Find the verticals of the rectangle of QRTW for a dilation with center (0,0) and a scale factor of 3 "--

Answer: A) The decay constant (λ) is a measure of the rate at which a radioactive isotope decays. It is defined as the probability per unit time that an atom of the isotope will decay. The decay constant can be calculated using the formula:

λ = -ln(1 - x) / t

Where x is the fraction of the original activity that has decayed (in this case, 0.40), and t is the time over which the decay occurred (in this case, one week).

B) The half-life (T1/2) is the amount of time it takes for half of the original activity of a radioactive isotope to decay. It can be calculated using the formula:

T1/2 = ln(2) / λ

C) The mean lifetime (τ) is the average amount of time an atom of a radioactive isotope will survive before it decays. It can be calculated using the formula:

τ = 1 / λ

It's important to note that the above formulas are based on the exponential decay model, which assumes that the decay process is random and that the decay constant is constant over time. If the isotope does not decay in this way, these formulas may not give accurate results.

Step-by-step explanation:

Step-by-step explanation:

3n-2=2n

-2=2n-3n

-2=-n

-2=-n

divide by - to get 2

The centre of the circle is (1/2, 1) and the radius of the circle is 2 if the circle equation is x² + y² − x − 2y − 11/4 = 0

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

The question is incomplete.

The complete question is:

A circle is defined by the equation given below.

x² + y² − x − 2y − 11/4 = 0

What are the coordinates for the centre of the circle and the length of the radius?

We know the standard form of a circle:

(x - h)² + (y - k)² = r²

Here (h, k) is the centre of the circle and r is the radius of the circle

\(\rm x^2 - x + \dfrac{1}{4} + y^2 - 2y + 1= \dfrac{11}{4} +\dfrac{1}{4} + 1\\\\\)

\(\rm (x - \dfrac{1}{2})^2+(y-1)^2 = 2^2\)

Thus, the centre of the circle is (1/2, 1) and the radius of the circle is 2 if the circle equation is x² + y² − x − 2y − 11/4 = 0

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Step-by-step explanation:

honestly kinda stumped so ima give you the best copy and pasted answer ever

A:

Isolate the variable by dividing each side by factors that don't contain the variable. y = x/3 − 4/3

and also x=7 y=1

HOPE I HELPED, SORRY IF I GOT IT WRONG <3

The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D with three variables.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The functions of a point (or vector) in R2 or R3 that have real values will now be looked at. These functions will typically be defined on sets of points in R2, but there will be occasions when we utilise points in R3 and when it is more convenient to think of the points as vectors (or terminal points of vectors).

Each point f(x,y) in D is given a real number f(x,y) according to a real-valued function f defined on a subset D of R2. The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D, and the range of f is the greatest set D in R2 on which f is defined.

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Answer:

x > 88/7

Step-by-step explanation:

i hope this helps :)

In the number 425.871, the digit with the greatest value is 4 because it is in the hundreds place, representing a value of 400.

In the number 425.871, each digit has a position and a value based on where it's located in the number. The position starting from the right of the decimal point we call the tenths, hundredths, and thousandths place, respectively. Similarly, the position to the left of the decimal point is called the ones, tens, hundreds place, etc., respectively. In this case, the digit with the greatest value is the one in the hundreds place, which is 4. This is because it represents 400, which is greater than any other individual digit's value in the number 425.871.

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On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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Answer:

Incorrect

Step-by-step explanation:

This is incorrect. In order to add two fractions that have unlike denominators, it is true that you first need to find a common denominator. When you change a fractions denominator you must also change it's numerator in proportion to the change in the denominator. For example, if you change the denominator in the fraction \(\frac{1}{2}\) into a 4 then you are multiplying the denominator by 2, therefore you will also need to multiply the numerator by 2 which would give you a new fraction of \(\frac{2}{4}\)

r = 4/(cos(theta) - (3/4)sin(theta)), This is the polar form of the rectangular equation.

To convert a rectangular equation into polar form, we use the following equations:

x = r cos(theta)
y = r sin(theta)

where r is the distance from the origin to the point (x,y), and theta is the angle between the positive x-axis and the line segment connecting the origin to the point (x,y).

Let's say we have the rectangular equation:

3x - 4y = 12

To convert this into polar form, we first need to solve for y:

y = (3/4)x - 3

Now we substitute the equations for x and y in terms of r and theta:

r sin(theta) = (3/4)r cos(theta) - 3

Simplifying this equation, we get:

r = 4/(cos(theta) - (3/4)sin(theta))

This is the polar form of the rectangular equation. To check our work, we can convert this back into rectangular form:

r = 4/(cos(theta) - (3/4)sin(theta))
r(cos(theta) - (3/4)sin(theta)) = 4
rcos(theta) - (3/4)rsin(theta) = 4
x - (3/4)y = 4

This is the same equation we started with, so our conversion is correct. It's important to be detailed and show all work when converting rectangular equations into polar form to avoid making mistakes.

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An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The expression is;

\(\rm A(n) = 4500(1+0.02)^{n-1}\)

At the beginning of 9-year value of n is 9,substitute the value to get he amount;

\(\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272\)

Hence, option D is corect.

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