An account executive receives a base salary plus a commission. On $50,000 in monthly sales, the account executive receives $6500. On $60,000 in monthly sales, the account executive receives $6800.
(a) Determine a linear function that will yield the compensation y of the sales executive for a given amount of monthly sales x.


(b) Use this model to determine the account executive's compensation for $90,000 in monthly sales.
$

Answer:

144

Step-by-step explanation:

product of 3 and 4 = 12

square of 12 = 144

Answer:

9

Step-by-step explanation:

2x + 3y - 2 =9

(2) + (9) -2 =9

Hello!

Here we could use something called the work equation.

If [tex]x[/tex] is considered proofing a chapter of the book, we can set up an equation such as, [tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex].

Then, all we do is solve for it.

[tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex]

[tex]5x+9x=45[/tex]

[tex]14x=45[/tex]

[tex]x=\frac{45}{14}[/tex]

So working together, it would take them [tex]\frac{45}{14}[/tex] hours to proof a chapter of the book.

Hope this helps!

Answer:

57 pounds weight is 95 percent of the limit i think

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

50% of 60 is 30

5% of 60 is 3

Answer:

156° and 24°

Step-by-step explanation:

Let it's supplementary angle be x.

So, the angle = (x - 132)°

As we know, sum of supplementary angles is 180°;

x + x - 132 = 180

2x = 180 + 132

2x = 312

x = 312/2

x = 156°

(x-132)° = (156-132)° = 24°

Hence, the angles are 156° and 24°.

Answer:

B) 52.54

Step-by-step explanation:

The 52.54 is closest to the expected number of young stranded horseshoe crabs.

Here we have given that,

Horseshoe crabs on a beach can be overturned by approaching waves.

The researchers wanted to investigate whether there is convincing evidence of an association between becoming stranded and age. Data from their study are shown in the table.

  Young Intermediate Adult Total

Yes      41           125 52         218

No     153        364         70         587

Total   194          489  122          805

[tex]Expected number of young stranded horseshoe crabs=\frac{Total values of young horseshoe crabs}{ total crabs}[/tex]

Therefore we get,

Expected number of young stranded horseshoe crabs is,

[tex]=194 (\frac{218}{805} )[/tex]

[tex]=52.54[/tex]

Therefore ,the 52.54 is closest to the expected number of young stranded horseshoe crabs.

To learn more about  the expected number of young stranded horseshoe crabs visit:

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Answer:

[tex]y = \frac{5}{2}x[/tex]

Step-by-step explanation:

Given

Variation: Direct from y to x:

[tex]y\ \alpha\ x[/tex]

[tex]y =15; x = 6[/tex]

Required

Write the equation

[tex]y\ \alpha\ x[/tex]

Express as an equation

[tex]y = kx[/tex]

Where k is the constant of variation

Substitute [tex]y =15; x = 6[/tex]

[tex]15 = 6k[/tex]

Solve for k

[tex]k = \frac{15}{6}[/tex]

[tex]k = \frac{5}{2}[/tex]

Substitute [tex]k = \frac{5}{2}[/tex] in [tex]y = kx[/tex]

[tex]y = \frac{5}{2}x[/tex]

Answer:

Step-by-step explanation:

It would be b if im wrong Im so sorry <>.<> I tried my best to do everything or get everything right and I did the math~ also have skittles and m&m's~ ∨

The profit equation is:

p(x) = -0.5*x^2 + 70x - 200

The domain is:

x ∈ [0, 140], such that x ∈ Z

and the profit is larger for 70 items.

We know that:

Cost equation:

c(x) = 50*x + 200

revenue equation:

r(x) = -0.5*(x - 120)^2 + 7,200

The maximum capacity is 140

Then x can be any value in the range [0, 140]

We want to find the profit equation, remember that:

profit = revenue - cost

Then the profit equation is:

p(x) = r(x) - c(x)

p(x) = ( -0.5*(x - 120)^2 + 7,200) - ( 50*x + 200)

Now we can simplify this:

p(x) =  -0.5*(x - 120)^2 + 7,200 - 50x - 200

p(x) =  -0.5*(x - 120)^2 + 7,000 - 50x

p(x) = -0.5*(x^2 - 2*120*x + 120^2) + 7,000 - 50x

p(x) = -0.5*x^2 + 120x - 7,200 + 7,000 - 50x

p(x) = -0.5*x^2 + 70x - 200

Now we want to answer, what is the domain of p(x)?

The domain is the set of the possible inputs of the function.

Remember that x is in the range [0, 140], such that x should be a whole number, so we also need to add x ∈ Z

then:

x ∈ Z ∧ x ∈ [0, 140]

Then that is the domain of the profit function.

Now we want to see the profit for 70 and 80 items, to do it, just evaluate p(x) in these values:

70 items:

p(70) = -0.5*70^2 + 70*70 - 200 = 2,250

p(80) = -0.5*80^2 + 70*80 - 200 = 2,200

So the profit is smaller for the larger number of items, why does this happen?

You can see that the profit equation is a quadratic equation with a negative leading coefficient, so, as the value of x increases after a given point (the vertex of the quadratic) the profit will start to decrease.

If you want to learn more about quadratic functions, you can read:

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Answer:

B) Approximately normal, with mean -0.05 and standard deviation 0.083

Step-by-step explanation:

The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.

The distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083

For large enough sample, let the population proportion of a quantity be denoted by random variable [tex]p[/tex]

Then, we get:

[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]

where

Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:

[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]

And if

[tex]X = X_1 + X_2 + \cdots + X_n[/tex]

Then, its distribution is given as:

[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]

Here, we're specified that:

For proportion of correct free throw attempts by Daren:

For proportion of correct free throw attempts by Josh:

And therefore, we have:

[tex]p_D \sim N\left (0.75, \sqrt{\dfrac{0.75 \times 0.25}{50}}\right )\\\\p_J \sim N\left (0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex]

And therefore, we get:

[tex]-p_J \sim N\left (-0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex] (standard deviation doesn't get affected by change of sign of the considered random variable, and mean gets affected linearly, so mean became negative 0.80 and standard deviation stays same).

Adding [tex]p_D[/tex] and [tex]-p_J[/tex], we get:

[tex]p_D + (-p_J) = p_D - p_j \sim N\left (0.75 -0.80, \sqrt{\dfrac{0.8 \times 0.2}{50} + \dfrac{0.75 \times 0.25}{50}}\right )\\\\p_D - p_J \sim N\left( -0.05, 0.0837\right)[/tex]

Thus, the distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083

Learn more about population proportion here:

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Answer:

The answer is B because left and down are negative

If you are helped with my answer pls tag me brianliest

Answer: 4

Step-by-step explanation:

Answer:

12 years old

Step-by-step explanation:

7 + 5 = 12

T + 5

Answer:

Step-by-step explanation:

Business projects are intended to achieve defined business objectives and are aligned with a company's business strategy. ... It's important to note that all projects, regardless of type, must meet certain criteria to be considered projects. The primary two requirements are that they are both temporary and unique

Project management is the process of leading the work of a team to achieve goals and meet success criteria at a specified time. The primary challenge of project management is to achieve all of the project goals within the given constraints

How do you define a project?

According to the PMBOK (Project Management Body of Knowledge) 3rd edition, A project is defined as a “temporary endeavor with a beginning and an end and it must be used to create a unique product, service or result”. Further, it is progressively elaborated.

What is a project in business?

A project is a temporary piece of work which falls outside 'business as usual' day-to-day operations and can be anything from moving offices or building a website to carrying out major construction work or complex statistical analysis. Some businesses are entirely project-based

Answer:

18cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

But before that the x value is

x ÷ 8 = (x+2) ÷ 10

10x = 8x + 16

10x - 8x = 16

2x = 16

x = 8

Now as we know that

Area = base ×  height

= 2cm × 8cm

= 16cm²

Now for small triangle

Area  = 1 ÷  2(base)(height)

= 1 ÷ 2 × (2)(2)

=4 ÷ 2

A = 2cm²

Now the total area of the shaded region is

= 16cm^2 + 2cm^2

= 18cm^2

Answer:

400

Step-by-step explanation:

25*35=700

10*30=300

700-300=400

Answer:

16

Step-by-step explanation:

The base of a cylinder is a circle. The equation to find the area of a circle is A=r^2. A is the area, r is the radius. So, first r squared. 4 times 4 is 16. Then you multiply 16 times , and end up with 16.

Answer:

In geometry we use input/output process when we determine how shapes are altered or moved. ... f) P (x,y) ------ > (x + 3, 2y) (-4,9). A' (-1, 18)_.

9514 1404 393

Answer:

   y = -2x² +5x -11

Step-by-step explanation:

Combine the signs on the constant. The terms are already in order of descending powers of x, which is what you want for standard form.

   y = -2x² +5x -11

Answer:

6/4

Step-by-step explanation:

Answer:

slope

=

−

21

16

Explanation:

to calculate the slope m use the

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let

(

x

1

,

y

1

)

=

(

−

7

,

11

)

and

(

x

2

,

y

2

)

=

(

9

,

−

10

)

⇒

m

=

−

10

−

11

9

−

(

−

7

)

=

−

21

16

=

−

21

16

Step-by-step explanation:

Answer:

C -1/2

Step-by-step explanation:

midpoint = sum of end points divide by 2.

here, midpoint = (-3+2)/2

=(-1/2)

Answer:

- 1 / 2

Step-by-step explanation:

→ Add the 2 numbers together

-3 + 2 = -1

→ Divide answer by 2

- 1 ÷ 2 = - 1 / 2 or - 0.5

Answer:

here lol https://imageshare.best/8R2I7D

Step-by-step explanation:

Answer:

812 dollars  14 x 58 = $812 dollars.

Step-by-step explanation:

Answer:

I think it is 812 tell me if I'm wrong please