1.) Conrad earns a 7.5% commission on his sales of office supplies. Last month, he earned $836.50 in commissions. What were his total sales for the month (to the nearest whole cent)?

A.) $11,153.33 in total sales

B.) $10,976.67 in total sales

C.) $12,098.24 in total sales

D.) $12,754.19 in total sales

E.) None of these choices are correct.

x = 6 and x = -2

Step-by-step explanation:

Put the 12 to the other side

x^2 - 4x - 12 = 0

Now factor this out:

(x - 6)(x + 2) = 0

Therefore, the roots of this equation are

x = 6 and x = -2

Answer:

1742

Step-by-step explanation:

I am of the belief this is the right answer according to the arithmetic calculator.

Answer:

1)3 2)86

Step-by-step explanation:

3h+77=SA AND 92-2h=MB

3h+77=92-2h

-77. = -77

3h= 15-2h

+2h=+2h

5h=15

H=3

Answer:

- 199

Step-by-step explanation:

7.

a1 = 25

d = - 16

15th term is t15.

Formula : -

an = a + ( n - 1 )d

t15

= 25 + ( 15 - 1 ) - 16

= 25 + 14 ( - 16 )

= 25 + ( - 224 )

= 25 - 224

= - 199

Answer:

The offset function

Step-by-step explanation:

In Microsoft Excel, the offset function or formula returns reference to a particular cell.

The syntax is:

= OFFSET(reference, rows, cols)

Where:

reference = the base cell

rows and cols are the direction to move

For instance:

OFFSET(A1, 3, 1) will return cell B4

Because:

3 will shift down the reference from A1 to A4

1 will shift right the reference from A4 to B4

Answer:

5898

Step-by-step explanation:

7,390 - 1,492 = 5898

Answer:

The slope is 1

Step-by-step explanation:

Have a good day :)

Answer:

It is C.

Step-by-step explanation:

the division sign indicates it is evidently going to be B or C. Then it's just simple knowledge.

The statement describing the expression as the quotient of x+5 and x² - 2 option (C) is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

[tex]= \rm \dfrac{x+5}{x^2-2}[/tex]

We can write the above expression as follows:

= (x + 5) ÷ (x² - 2)

The above expression is not in the product.

The quotient of x+5 and x² - 2

Thus, the statement describing the expression as the quotient of x+5 and x² - 2 option (C) is correct.

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Answer:

A

Step-by-step explanation:

Given :

And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.

So that ,

[tex]:\implies[/tex] f(x) = y

[tex]:\implies[/tex] y = ³√[ x - 9 ]

[tex]:\implies[/tex] x = ³√[ y - 9 ]

[tex]:\implies[/tex] x³ = y - 9

[tex]:\implies[/tex] y = x³ + 9

[tex]:\implies[/tex] f-¹(x) = x³ + 9

Hence option A is correct .

Answer:

A hexagon has 6 internal angles, and the sum of the interior angles is 720°

If the hexagon is regular, so all the internal angles are equal, the measure of each internal angle is:

720°/6 = 120°

Ok, now let's look at the image.

We can "craft" a triangle rectangle. such that one cathetus is the line of 4ft that we can see in the image.

The hypotenuse is the line that connects the center, with the bottom right vertex.

Half of the bottom side is the other cathetus.

Because the hypotenuse divides the vertex in exactly two halves, the bottom right angle of the triangle rectangle will be 120°/2 = 60°.

So of this triangle rectangle, we know:

one angle equal to 60°

The opposite cathetus of this angle, which measures 4 ft.

Let's find the other cathetus of the rectangle:

We can use the identity:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

In this case, we have:

Tan(60°) = 4ft/x

The value of x is:

x = 4ft/Tan(60°) = 4ft/√3

Because Tan(60°) = √3

And we know that the area of a triangle rectangle is the product of the length of each cathetus divided by two.

Then the area of our triangle rectangle is:

A = (4ft*4ft/√3)/2 = (8/√3) ft^2

And there are 12 of these right triangles inside the hexagon

Area = 12* (8/√3) ft^2 = (96/√3) ft^2

And we can write:

96 = √(96*96) = √9216

Then:

Area = √(9216/3) ft^2 = √(3072) ft^2

Answer:

half of 7.4 is 3.7 so the houses are 3.7 miles apart.

Answer:

47.88milliliters

Step-by-step explanation:

Given data

Total amount of the solution=  342 milliliters

14% is acid

Hence the amount of acid

=14/100* 342

=0.14* 342

=47.88milliliters

Therefore there are 47.88milliliters of acid

Answer:

answer in the screen shot provided

The volume of the given hexagonal prism is 187.2 cm³.

A hexagonal prism is a prism with a hexagonal base and top. It is a 3D shape and thus, is a polyhedron with 8 faces, 18 edges, and 12 vertices. As it has 8 faces, it is also called an octahedron.

Given that, a hexagonal prism we need to find the volume,

So, the volume = 3 apothem × base × height

= 3 × 3 × 8 × 2.6

= 187.2

Hence, the volume of the given hexagonal prism is 187.2 cm³.

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A- When one variable increases the other variable decreases. :)

Answer:

343 miles per hour.

Step-by-step explanation:

It is easy all you have to do is 7^3

I Hope This Helps You!!

Answer:

vertex = (1, 2 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠  0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² - 2x + 3 ← is in standard form

with a = 1, b = - 2 , then

x = - [tex]\frac{-2}{2}[/tex] = 1

Substitute x = 1 into the equation for corresponding value of y

y = 1² - 2(1) + 3 = 1 - 2 + 3 = 2

vertex = (1, 2 )

Answer:

c

Step-by-step explanation:

Answer:

The answer is sqrt of 64

Step-by-step explanation:

20.

[tex] \sqrt{ {(0 - 4)}^{2} + {(4 - 7)}^{2} } = 5[/tex]

His job will take 75 minutes long

Answer:

-45

Step-by-step explanation:

We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.

Our keyword is "spent" and "fourty-five". These determine how much money is being taken away or added.

Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being -45

Answer:

$117

Step-by-step explanation:

184+38=222

222-45=117

Answer:

m∠R=74°        m∠Q=32°

Step-by-step explanation:

PQ=RQ

So ΔPQR is a isosceles triangle

So m∠R=m∠P=74°

m∠Q=180°-m∠R-m∠P=180°-74°-74°=32°

Answer:

The other term is (x-3)

Step-by-step explanation:

The quadratic function is:

[tex]f(x)=-x^{2}+7x-12[/tex]

Factoring this function we will have:

[tex]f(x)=-(x-4)(x-3)[/tex]

Therefore, the other term is (x-3).

I hope it helps you!

9514 1404 393

Answer:

  £27.50

Step-by-step explanation:

The general approach is ...

1. The area to be painted will be the area of the four walls, less the area of the door (which is assumed to be a hole in the wall, so is not painted).

Each wall has the same dimensions, so the same area. The area of the rectangular wall is ...

  A = LW

  A = (3.5 m)(2.6 m) = 9.1 m²

The area of the door is ...

  A = (2.2 m)(0.8 m) = 1.76 m²

Then the area to be painted is the area of the 4 walls less the area of the door:

  painted area = 4(9.1 m²) -1.76 m² = 34.64 m²

__

2. Each 2 L tin of paint will cover (2 L)×(8 m²/L) = 16 m², so the number of tins needed is ...

  (34.64 m²)/(16 m²/tin) = 2.165 tins

We assume this means Aisha will need to purchase 3 tins, since she will need more paint than is provided by 2 tins.

__

3. Because of the price offer on the paint, Aisha will pay full price for the first two tins, half price for the 3rd tin. That is, she will pay 2 1/2 times the full price of a tin when she buys the 3 tins of paint she needs. Each tin costs £11, so Aisha will pay ...

  (2 1/2)(£11) = £27.50

Aisha will pay £27.50 for the paint to paint her living room.

Answer:

that I have a panda but the black on it and I have kiss me kiss me at