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sergey [27]
4 years ago
9

John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45,000. XYZ Company offers a ye

arly salary of $38,000 plus a 2% annual commission on sales. For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company
Mathematics
1 answer:
KATRIN_1 [288]4 years ago
3 0

Answer:  Amount of sales s = $6240 is the salary at ABC company is greater than at XYZ company.

Step-by-step explanation:

Since we have given that

Annual salary of ABC company = $45000

Annual salary of XYZ company = $38000

Rate of commission = 2%

Amount of salary after commission at XYZ company would be

\dfrac{100+2}{100}\times 38000\\\\=\dfrac{102}{100}\times 38000\\\\=1.02\times 38000\\\\=38760

So, Difference between is given by

45000-38760\\\\=\$6240

Hence, Amount of sales s = $6240 is the salary at ABC company is greater than at XYZ company.

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Suppose that an individual has a body fat percentage of 16.7% and weighs 188 pounds. How many pounds of his weight is made up of
Volgvan

Answer:

15.867

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16

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Step-by-step explanation:

5 0
3 years ago
Complete the square to determine the minimum or maximum value of the function defined by the expression.
FrozenT [24]

Answer:

Option D. minimum value at −38

Step-by-step explanation:

we have

x^{2}-12x-2

Let

y=x^{2}-12x-2

Complete the square

y+2=x^{2}-12x

y+2+36=(x^{2}-12x+36)

y+38=(x^{2}-12x+36)

y+38=(x-6)^{2}

y=(x-6)^{2}-38 ------> equation of a vertical parabola in vertex form

The vertex is the point (6,-38)

The parabola open upward-----> the vertex is a minimum

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minimum value at −38

3 0
3 years ago
Which systems of equations intersect at point A in this graph?
abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

Step-by-step explanation:

Given the point

  • A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Arrange equation variable for elimination

\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}

so

y+3x=-5

-

\underline{y-4x=9}

7x=-14

so the system of equations becomes

\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}

Solve 7x = -14 for x

7x=-14

Divide both sides by 7

\frac{7x}{7}=\frac{-14}{7}

Simplify

x = -2

For y - 4x = 9 plug in x = 2

y-4\left(-2\right)=9

y+4\cdot \:2=9

y+8=9

Subtract 8 from both sides

y+8-8=9-8

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

3 0
3 years ago
Which of the following graphs represents exponential decay?
charle [14.2K]

Answer:

C

Step-by-step explanation:

C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.

6 0
3 years ago
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How many inches are in 10 feet
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Answer:

120 <em>inches</em>

Step-by-step explanation:

Since we know 1 foot is 12 inches, we can multiply the amount of inches in 1 foot by 10 feet to get 120 inches.

6 0
3 years ago
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