a company’s profit of 18000 is shared by 2 directors and 24 employees 1-3 of the profit is shared equally by 2 directors of the company

Answers

Answer 1

Using proportions, it is found that:

Each director gets 6000.Each employee gets 500.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the directors share one-third of the profit, hence:

18000/3 = 6000

6000/2 = 3000.

That is, each director gets 6000.

The remaining 18000 - 6000 = 12000 will be shared equally by the 24 employees, hence:

12000/24 = 500

Each employee gets 500.

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Related Questions

Geena can rent an apartment for $850 per month or she can buy a house for $175,000 at 3.875% interest for 30 years. How much will each housing choice cost for one year?

A. Price of Renting:
B. Price of Buying:

Answers

Using simple interest, it is found that the prices are as follows:

A. $10,200.

B. $12,614.58.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount.r is the interest rate, as a decimal.

Item a:

$850 for 12 months, hence the yearly cost is:

P = 850 x 12 = $10,200.

Item b:

The total cost is found using simple interest with A(0) = 175000, t = 30, r = 0.03875, hence:

A(t) = A(0)(1 + rt)

A(30) = 175000[1 + 0.03875(30)]

A(30) = 378437.5.

The yearly cost is given by:

378437.5/30 = $12,614.58.

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center and the radius please!

Answers

Answer:

the center is (-2,4) and the raduis is 3

Step-by-step explanation:

For equations of circles, the center will be the inverse of the euation. for example. If the equation had (x+3)^2 and (x-4)^2 the center is (-3,4).

And for the raduis of a circle equation it is always r^2. Since the 9 is in place, 3^2 is just 3x3 = 9.

I hoped this helped, would appreciate if you marked brainliest!

Mary wants to buy a sewing machine, she can buy it for $315 cash, or on hire purchase for $25 down payment and 12 monthly instalments of $27. 50. How much more will Mary have to pay on hire purchase?

Answers

Answer:

She will pay $40 more.

Step-by-step explanation:

I used the equation y=27.50x + 25 to find this out and made x = 12 to represent how many months she is paying.

now putting x into the equation, y = 27.50(12) + 25

First i did the multiplication, 27.50 x 12 = $330.

Then I added 25 to 330 for the down payment, 330 + 25 = 355

I then did 355 - 315 to find out how much more you would pay,

355 - 315 = $40

Hope this helps!

Specific gravity will tell you a fraction of how much
object will be below the water while its floating. For
instance, ice has density of 0.92 g/ml so its specific gravity
0.92, what does 0.92 indicate?

Answers

The value 0.92 indicates the relative density of the ice.

Data;

Density = 0.92g/mlSpecific gravity = 0.92

Specific Gravity

Specific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.

mathematically;

[tex]relative density = \frac{density of substance}{density of reference}[/tex]

The value 0.92 indicates the relative density of the ice.

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2x+2y=6 3x-y=5 equivalent equation

Answers

Answer:

x = 2, y = 1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}2x+2y=6\\ 3x-y=5\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Isolate\;x\;for\;2x+2y=6:x=3-y}[/tex]

[tex]\mathrm{Substitute\:}[/tex]

[tex]\begin{bmatrix}3\left(3-y\right)-y=5\end{bmatrix}[/tex]

[tex]\mathrm{Simplfy}[/tex]

[tex]\begin{bmatrix}9-4y=5\end{bmatrix}[/tex]

[tex]\mathrm{Isolate\;y\;for\;9-4y=5:y=1}[/tex]

[tex]\mathrm{For\:}x=3-y\;\mathrm{Substitute\:}y=1[/tex]

[tex]x=3-1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=2[/tex]

[tex]\mathrm{The\:Answers\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,\:y=1[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check Answer:

Since [tex]x =2 , y =1[/tex]

[tex]2(2)+2(1)[/tex]

[tex]4 + 2[/tex]

[tex]= 6[/tex]

True

[tex]3(2) - (1)[/tex]

[tex]6 -1[/tex]

[tex]5[/tex]

True

Hence, [tex]x = 2, y = 1[/tex]

~Lenvy~

In the parallelogram shown, find the measure of ∠A.

Answers

Answer: 40 degrees

Step-by-step explanation:

The three sides of a triangle of lengths 4, 5, and 7. The triangle is obtuce

Answers

Answer:

Let's check this!

Obtuse triangle formula:

c² < b² + a²

Next fill in the formula:

7² < 5² + 4²

Then simplify:

49 < 25 + 16
Then add:

49 < 41

^^49 is not greater than 41 so therefore the triangle is not obtuse.

When the hypotenuse is bigger than the legs of the triangle it is an acute triangle.

Acute triangle formula:

c² > b² + a²

7² > 5² + 4²

49 > 25 + 16

49 > 41 ✔

You're Welcome and Mark me Brainliest please.

The three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.

What is the obtuse triangle?

The triangle is an obtuse triangle if the sum of the squares of the smaller sides is less than the square of the largest side.

The three sides of a triangle of lengths 4, 5, and 7.

An obtuse triangle is a triangle in which one of the interior angles is greater than 90°.

The sides of a triangle are not an obtuse triangle as determined in the fooling step given below.

Obtuse triangle formula:

c² < b² + a²

7² < 5² + 4²

49 < 25 + 16

49 < 41

Here; 49 is not greater than 41 so therefore the triangle is not obtuse.

Hence, the three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.

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Suppose that 16 inches of wire costs 48 cents at the same rate ,how many inches of wire can be bought for 39 cents?

Answers

39/48 x 16 = 13 inches

Lol pla helllllllllp

Answers

Answer:

66x

Step-by-step explanation:

Rect = bh

Rect = 15 x 4x

Rect = 60x

Triangle = (bh) / 2

B = 7x - 4x

B = 3x

A = 15 - 11

A = 4

Tri = (4 x 3x) / 2

Tri = 12x / 2

Tri = 6x

All = Rect + Tri

All = 6x + 60x

All = 66x

(I promise it's right this time)

Answer:

66x

Step-by-step explanation:

Separate the shape into a rectangle and a triangle.

Dimension of the rectangle:

length = 15width = 4x

Dimension of the triangle:

base = (15 - 11) = 4height = (7x - 4x) = 3x

Area of a rectangle = length × width

Area of a triangle = 1/2 × base × width

Total area = area of rectangle + area of triangle

                 = (15 × 4x) + (1/2 × 4 × 3x)

                 = 60x + 6x

                 = 66x

Find the values of x and y
x=
and
y=

Answers

Answer:

x=145 and y=35

Step-by-step explanation:

the hole line equals 180 so do 35-180 which equals 145 and y would equal 35

In a regular polygon the line from the center to the mid-point of an outer side is a(n)

Answers

Answer:

The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.

Step-by-step explanation:

Apothem In a regular polygon the line from the center to the mid-point of an outer side is a(n).

What is a cube?

It is a polygon having six faces.

The volume of a cube is a side cube.

We have,

The apothem of a regular polygon is a line segment from the center to the midpoint of any one of its sides.

Thus,

The line from the center to the mid-point of an outer side is a(n) is Apothem.

Learn more about cubes here:

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WILL GIVE BRAINLIEST
pls if you can pls include step by step explanation

Answers

Answer:

A. 0.125 foot per square feet

Step-by-step explanation:

When finding average rate of change, use the formula

ΔY/ΔX

The ΔY, or Y final - Y initial would be 1.5-1.0, which is equal to 0.5.

The ΔX, or X final - X initial would be 7-3, which is equal to 4.

Plug these values into the equation ΔY/ΔX to get 0.5/4.

This will give you 0.125.

17. Kayden creates a linear function where x is the input, y, is the output, and
m and b are constants.
A. Which equation could represent Kayden's function?
y=1/x+ mb
y = mx + b
© x = my • by
.
B.
Which statement about the graph of Kayden's function is true for all
values of m and b?
~ The graph is increasing.
® The graph is decreasing.
© The graph goes through the origin.
The graph has a constant rate of change.

Answers

Answer:

see explanation

Step-by-step explanation:

A linear function has the form

y = mx + b ( m is the slope and b the y- intercept )

B

the graph has a constant rate of change , measured by the slope m of the linear function.

Which value would make the inequality 4.5d > 31.5 true?
A. d=8
B. d=7
C. d=6
D. d=5

Answers

Answer:

d=8

Step-by-step explanation:

4.5(8)>31.5 works because 36>31.5

What is the next term of the geometric sequence? 40/27, 20/9, 10/3, ??

Answers

Answer:

3/1

Step-by-step explanation:

Is ABC~ DEF? If so, identify the similarity postulate or theorem that applies.

Answers

Answer:

a

Step-by-step explanation:

i hope it helps

*correct me if im wrong

will give brainliest!!!

Answers

Remember your order of operations

P.E.M.D.A.S

P.arenthesis
E.xponents
M.ultiplication
D.ivide
A.dd
S.ubtract

[(40+5)-3^2]/9*2
[45-3^2]/9*2
[45-9]/9*2
36/9*2
36/18
2

The last selection 2 is your answer.

I hope this helps and is the BRAINLIEST!!

Good luck with your studies!!

Answer:

2 is the answer

i used pemdas/ order of operations

Step-by-step explanation:

Find the solution to the set of equations.
2x + 1 = y
4x + 2 = y

Answers

Answer:

(-1/2. 0)

Step-by-step explanation:

Given

y = 2x + 1 [correct form of writing a linear equation!]y = 4x + 2

Solving for x

Equate both values of y to find the value of x⇒ 2x + 1 = 4x + 2⇒ 2x = -1⇒ x = -1/2

Solving for y

Plug the values of x into one of the equationsy = 4(-1/2) + 2y = -2 + 2 = 0

Solution

(x, y)(-1/2. 0)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required solution set is :

[tex]\qquad \sf  \dashrightarrow \:( - \frac{1}{2} ,0)[/tex]

See the attachment for solution ~

Traveling at a speed of 12 mph, Jen biked home in 20 minutes. What was Jim's speed
if he biked the same distance in 15 minutes?

Answers

The speed of Jim if he biked the same distance in 15 minutes is 16 mph

What is speed ?

Speed is the distance covered at a particular time. Therefore,

speed = distance / time

The distance in the first journey can be calculated as follows:

speed = 12 mph

time = 20 minutes  = 0.3333 hours

12 = x / 0.333

distance = 0.333 × 12 = 3.9996 miles

Therefore, the speed of Jim if he biked the same distance in 15 minutes can be calculated as follows:

15 minutes = 0.25 hours

speed = 3.9996 / 0.25

speed = 15.9984

speed = 16 mph

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Answer:

The speed of Jim if he biked the same distance faster than Jen. In 15 minutes is 16 mph is Jim’s speed

Step-by-step explanation:

Complete the table
I WILL MARK BRAINLIEST AND GIVE THANKS

Answers

Answer:

Step-by-step explanation:

hours              Cost

  0                   $15

   1                    $15 + 2.50 = $17.50

   2                    $15 + 2.50(2) = $15 + 5 = $20

   3                     $15 + 2.50(3)= $15 + 7.50 = $22.50

   4.                     $15 + 2.50(4)= $15 + 10 = $25

Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find the temperature in degrees Celsius if the temperature is 86°F. What is the temperature in degrees Celsius?

WRITEN RESPONE

Answers

Answer:

30°C

Step-by-step explanation:

The Conversion Formula :-

F - 32 / 9 = C / 5

F is given to be 86.

Substitution

86 - 32 / 9 = C / 554 / 9 = C / 5C = 6 x 5C = 30°C

Answer:

Sample Response: To find the celsius temperature, substitute 86 for F in the formula. Then, use the order of operations to simplify. Substract 32 from 86. Then multiply 5 9 by 54 to get 30°C.

Step-by-step explanation:

Solve for x -3/4x + 8=23

Answers

The answer is x = -20

Steps..

-3/4x + 8 = 23
-3/4x = 15
-4/3 (-3/4x) = -4/3 times 15
X = -20

The length of one leg of an isosceles right triangle is 3 ft. what is the perimeter of the triangle? 3 3 startroot 2 endroot ft 3 3 startroot 3 endroot ft 6 3 startroot 2 endroot ft 6 3 startroot 3 endroot ft

Answers

The perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft


What is an isosceles right angled triangle?

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.

Referring to the figure, assuming:

Both equal sides are of length 'a' feetThe unequal side is of the length 'b' feet.

Using the Pythagoras theorem, we get:

[tex]a^2 + a^2 = b^2\\\\a = b/\sqrt{2}[/tex]

It was given that length of one of the leg is of 3 ft. Leg of an isosceles triangle refers to one of its equal sides.

Thus, we got [tex]a = 3[/tex], and therefore, we have: [tex]a = b/\sqrt{2} \implies b = a\sqrt{2} = 3\sqrt{2}[/tex]

Thus, perimeter of the triangle as:

[tex]a + a + b = 2a + b = 6 +3\sqrt{2} \: \rm ft[/tex]

Thus, the perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft

Learn more about Pythagoras theorem here:

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Answer:

    C    :    6 + 3√2 ft

Step-by-step explanation:

it is right

trust me

divide, need help again ppl, thanks!​

Answers

Answers:

5.) [tex]\displaystyle \pm{1\frac{2}{3}}[/tex]

4.) [tex]\displaystyle 2[/tex]

3.) [tex]\displaystyle \pm{1\frac{2}{3}}[/tex]

2.) [tex]\displaystyle 2[/tex]

1.) [tex]\displaystyle \pm{2}[/tex]

Step-by-step explanations:

5.) [tex]\displaystyle \frac{\sqrt{75}}{\sqrt{27}} \hookrightarrow \sqrt{2\frac{7}{9}} \hookrightarrow \frac{\pm{5\sqrt{3}}}{\pm{3\sqrt{3}}} \\ \\ \boxed{\pm{1\frac{2}{3}}}[/tex]

4.) [tex]\displaystyle \frac{\sqrt[5]{96}}{\sqrt[5]{3}} \hookrightarrow \sqrt[5]{32} \hookrightarrow \frac{2\sqrt[5]{3}}{\sqrt[5]{3}} \\ \\ \boxed{2}[/tex]

3.) [tex]\displaystyle \frac{\sqrt{125}}{\sqrt{45}} \hookrightarrow \sqrt{2\frac{7}{9}} \hookrightarrow \frac{\pm{5\sqrt{5}}}{\pm{3\sqrt{5}}} \\ \\ \boxed{\pm{1\frac{2}{3}}}[/tex]

2.) [tex]\displaystyle \frac{\sqrt[3]{24}}{\sqrt[3]{3}} \hookrightarrow \sqrt[3]{8} \hookrightarrow \frac{2\sqrt[3]{3}}{\sqrt[3]{3}} \\ \\ \boxed{2}[/tex]

1.) [tex]\displaystyle \frac{\sqrt{8}}{\sqrt{2}} \hookrightarrow \sqrt{4} \hookrightarrow \frac{\pm{2\sqrt{2}}}{\pm{\sqrt{2}}} \\ \\ \boxed{\pm{2}}[/tex]

I am joyous to assist you at any time.

m(m − n)
for m = 3 and n = 1

Answers

Use distributive property and solve.

Answer: 6

Find the measure of the missing angle ​

Answers

Answer:

g=118 degrees h=62 degrees

Step-by-step explanation:

So we can use some angle rules that I forget the name of to solve this.

Let's look at angle g first. We know that the opposite angle is 118 degrees. So that also means that g is going to be 118 degrees.

Since g is 118 degrees we can find h. The angle of a line is 180 degrees. This means that we can do 180-118 to find h. h=62 degrees.

We can do the same thing for k and m. Try doing what I did for g and h for those two. Comment if you need help.

Please Help! Will Give Brainlest!

Answers

Answer:

y = 0

Step-by-step explanation:

Midline = the horizontal center line

Study the figure to answer the question.

Triangle A B C. The coordinates of the vertices of triangle A B C are A (0, 4), B (4, 0), and C (0, 0).


Which best describes the three-dimensional figure obtained from rotating the figure around the y-axis?

a triangular prism with a base length of 4 units

a cone with a radius of 2 units

a cylinder with a radius of 4 units

a cone with a radius of 4 units

Answers

Answer:

a cone with a radius of 4 units

Step-by-step explanation:

when rotating something, this involves a circle. so, the result will always be round and never edgy. therefrom the first option is wrong.

and we are rotating a triangle. the result will have a wide base and a pointed tip. so, the third option is wrong.

the rotation does not make the basic shape smaller. so, the second option is wrong.

yes, the fourth option is correct.

Just number 1 please and explain

Answers

tanS = 5/12

tanR = 12/5


ur welcome norissa

Name the postulate that proves these two triangles congruent.

Answers

Answer:

the postulate that proves these two triangles congruent is AAA or angle angle angle.

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