A bonus of £2100 is shared by 10 people who work for a company. 40 percent of the bonus is shared equally between 3 managers. The rest of the bonus is shared equally between 7 salesmen. One of the salesmen say if the bonus is shared equally between all 10 people I will get 25 percent more money. Is the salesmen correct? you must show your answer.

Help me on this question and please show your working out and explain thank you

Answers

Answer 1

Answer:

Salesman is not correct

Step-by-step explanation:

First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:

Bonus Share For 7 Salesmen = (0.6)(£ 2100)

Bonus Share For 7 Salesmen = £ 1260

Now, this is equally divided among 7 salesmen:

Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7

S₁ = £ 180

Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:

Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10

S₂ = £ 210

S₂/S₁ = £ 210/£ 180

S₂/S₁ = 1.16

S₂ = 1.16S₁

S₂ = 116% of S₁

This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.

Therefore, salesman is not correct


Related Questions

I really need help with this answer can someone help?

Answers

Answer:

$7075 or 7718

Step-by-step explanation:

91100-6200=84900

84900/11= 7718.18181818 or rounded= 7718

(This is if the december month doesnt count.)

84900/12=7075

(If december is included.)

Answer:

her monthly salary = 84900/12= 7075 dollars

Step-by-step explanation:

total earns= 91100 dollars

actual salary does not include bonus

her actually salary : 91100-6200= 84900

her monthly salary = 84900/12= 7075 dollars

A line passes through point (-6, -1) and is parallel to the equation y2x-5.
What's the equation of the line?

Answers

Answer:

Step-by-step explanation:

Random sampling eliminates_____
in choosing a sample.

Answers

Answer:

bias by giving all individuals

Step-by-step explanation:

Answer:

Hey!

I think your answer should definitely be BIAS

Step-by-step explanation:

Picking a choice RANDOMLY removes the likelihood of the person picking BEING BIASED as they have no view / analysis of the options!

I HOPE THIS HELPS!!

Arian is making bracelets. For each bracelet, it takes 1/10 of hour to pick out materials and 1/4 hour to braid it together. How many bracelets can Arian make in 5 hours?



I know this is easy math but I couldn't understand a thing my math teacher was talking about when we learned this.​

Answers

Change everything into 10ths as follows:

1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.
Divide your time available by the time it takes to make one.

21
4 = 420= 15 bracelets
7 28
20

(as a whole number there was no fraction or remainder to round off)

In 5 hours Arian can make 14 Bracelets.

What is unitary method ?

Unitary method is first obtaining the value of a single unit and then deriving any given unit given.

According to the given question Arian is making bracelets.

It takes 1/10 of hour to pick out materials and 1/4 hour to braid it together.

∴ To completely make a bracelet it will take ( 1/10 + 1/4 ) hours which is

= 7/20 hours OR (7/20)×60 minutes = 21 minutes.

5 hours is = 5×60 = 300 minutes.

So, in 21 minutes he makes 1 bracelet.

In 300 minutes he can make  (300/21) Bracelets which is

= 14.28 Bracelets.

learn more unitary method here :

https://brainly.com/question/21648365

#SPJ2

The graph of y = |x-1|+7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?

Answers

The original equation: y = |x - 1| + 7

The new equation: y = |-x - 1| + 8

Tyrone solved an algebraic equation correctly. He got the answer 5 = 3. This answer indicates that the solution to the equation is: A. x = 3 B. x = 5 C. infinitely many solutions D. no solution

Answers

Answer:

No solution.

Step-by-step explanation:

5 can't equal 3 my friend.

Answer:

D no solution.

Step-by-step explanation:

5 doesn't equal 3

could you help me answer this for a friend ​

Answers

Answer:

The correct option is option C(SAS) as there are 2 angles and 1 common side(BC) used to prove the triangles congruent..

Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 68% in the class after 5 grades. What is the minimum grade Donovan would need to earn in order to have a 70%.

Answers

Answer:

If donovan wants to get dem grades up he has to stop talking out of turn, stop passing notes to his friends, stop fighting, stop trying to kiss the girls, stop cussing, mind his own bussiness, and do his work

Step-by-step explanation:

Which is equivalent to 2x(+7)18x+4/5

Answers

Answer:

-16x +[tex]14 4/5

Step-by-step explanation:

x2 can be combined with X?

Answers

Answer:

Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!

Step-by-step explanation:

Answer:

Not sure if you mean multiplying or adding by "combine". But generally the rule of thumb with exponents is when you are adding and they are not like terms, you cannot combine the two terms together. So in other words, they would be left as x²+x. However, when you are multiplying you can add the exponents together. So, it will be like this: x²·x = x³

Which one of these shapes is not like the other and why?

Answers

A and B is not, because if you were to make the A bigger it'll be the same as B, so I think is C


If Beyoncé performed as many songs as
Robyn per capita, how many would you
expect Beyoncé to sing?

Answers

Answer:

20 songs

Step-by-step explanation:

Robyn sang a total of 13 songs for a population of 62000 people, the per capita is the ratio of the total songs sang to the total number of people. Hence:

Robyn per capita = songs performed / population = 13 / 62000

Beyonce sang to a population of 91000 people, given that Beyonce and Robyn had the same per capita, therefore:

Beyonce per capita = songs performed / population

13/62000 = songs performed / 91000

songs performed = 13/62000 × 91000 = 19.08

songs performed ≈ 20 songs

Beyonce is expected to sing about 20 songs

Answer:

Around 20

You can use the Distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

help!
what is the answer to this problem?​

Answers

Answer:

D

Step-by-step explanation:

Because 12 is greater than -5 and when you divide a postive and a negative you get a negative number. And negative numbers are less than 0 .

16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º

Answers

Answer:

x = 26

y = 9

Step-by-step explanation:

(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)

Solve for x

5x - 17 + 3x - 11 = 180

Collect like terms

5x + 3x - 17 - 11 = 180

8x - 28 = 180

Add 28 to both sides

8x = 180 + 28

8x = 208

Divide both sides by 8

x = 208/8

x = 26

Also:

(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)

Plug in the value of x and solve for y

2y + 5 + 90 + 3(26) - 11 = 180

2y + 5 + 90 + 78 - 11 = 180

Collect like terms

2y + 162 = 180

Subtract 162 from both sides

2y = 180 - 162

2y = 18

y = 9 (dividing both sides by 2)

Solve the equation t+ 25 =26

Answers

Answer:

t = 1

Step-by-step explanation:

t + 25 = 26

Subtract 25 from each side

t = 1

Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph. if they drive along the same route, how long will it take Mitchell to catch Peter?

Answers

Answer:

  45 minutes

Step-by-step explanation:

At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...

  t = d/s

  t = (7.5 mi)/(10 mi/h) = 0.75 h

to catch Peter.

Mitchell will catch Peter in 45 minutes.

__

Alternate Solution

Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:

  3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter

_____

You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.

use the base ten system and mental math to find the products. of 40x50=

Answers

Answer:

2000

Step-by-step explanation:

(4x5) x 100

Answer:

2000

Step-by-step explanation:

40 x 50 can be easily done by multiplying 4 and 5 which is 20 and adding the remaining 0's which is 2000

A 5” x 7” picture needs a frame whose width is the same on all four sides. If the frame’s perimeter is 28”, what should be the width (x) of the frame?

A) Half of an inch
B) Quarter of an inch
C) Two inches
D) One inch

Answers

Answer:

Half an inch

Step-by-step explanation:

Perimeter of the frame = 28 inches

Length fo the frame = 7 + x + x = (7 + 2x) inches

Width of the frame = 5 + x + x = (5 + 2x) inches

Perimeter of a rectangle is given as: 2(length) + 2(width)

Therefore:

28 = 2(7 + 2x) + 2(5 + 2x)

Solve for x

28 = 2*7 + 2*2x + 2*5 + 2*2x

28 = 14 + 4x + 10 + 4x

Collect like terms

28 = 14 + 10 + 4x + 4x

28 = 24 + 8x

Subtract 24 from both sides

28 - 24 = 24 + 8x - 24

4 = 8x

Divide both sides by 8

4/8 = 8x/8

½ = x

Width of the frame = x = ½ of an inch

PLEASEEE HELP

1. Andrea ran and biked for a total of 32 mi in 4 hours. Her average running speed was 5 mph and her average biking speed was 13 mph.
Let x = total hours Andrea ran.
Let y = total hours Andrea biked.
Use substitution to solve for x and y. Show your work. Check your solution.
(a) How many hours did Andrea run?
(b) How many hours did she bike?

Answers

Answer:

Ran: 2.5hr

Biked: 1.5hr

Step-by-step explanation:

x = total hrs ran

y = total hrs biked

4 = total hours ran + biked

soo.....

x + y = 4hr

then you can convert that for solving y or x

Ex. x = 4-y or y = 4-x

Then just plug in either x or y

EQUATION: 5x + 13y = 32

Dont plug in both x or y at the same time. Pick one and solve

10 times as much as blank hundred is 70 hundreds or blank thousands

Answers

Answer:

10 times as much as 7 hundred is 70 hundreds or 7 thousands.

Step-by-step explanation:

The question given is:

10 times as much as _____ hundreds is 70 hundreds or _____ thousands.

Dividing the question into two fractions, we have:

10 times what is 70 hundreds?

What is 70 hundreds in thousands?

10 x 7 hundred = 10 x 700 = 70 hundreds

Recall that 70 hundreds = 70 00

70 hundreds = 70 00 = 7 thousands = 7 000

Therefore, the question can be written as:

10 times as much as 7 hundreds is 70 hundreds or 7 thousands.

Can somebody help me and show yo work please

Answers

Answer:

17

Step-by-step explanation:

A= 5 B= 3 C=4

Substitute each number to the right letter

4 + (5^2 + 3) -15

Square 5

4 + (25 + 3) -15

Do parentheses first

4 + 28 - 15

32 - 15

Answer = 17

Sabas dance class is 3 miles from her home

Answers

Ok what is the question so I can give you the answer

Find the midpoint of segment AB A(-7,6) B(4,-2)

Answers

Answer:4,05

Step-by-step explanation:

Help me I will give extra points

Answers

Answer: g(x) = -4x + 5

Please mark me brainliest instead of points

yall imma fail if you don't help me. what is the scientific notation for 0.12? I need answers asap

Answers

Answer:

1.2 x 10^-1

Step-by-step explanation:

So you are going to move the decimal to the right once, since it is where the first number is. Since you only moved the decimal once it is 10^-1. It is negative because you moved the the right. If you had moved the decimal to the left it would be positive.

Ann invested $61,000 into two accounts. The first account pays an annual interest rate of 5% and the second account pays an annual interest rate of 7%. After one year, Ann earned $3430 in interest. How much was invested in each account? Round your answer to the nearest cent, if necessary. [For full credit, set a system of linear equations and solve the system]

Answers

Answer:

2nd Account has $19,000

1st Account has $42,000

Step-by-step explanation:

First let's split the money invested.

x is money in account 1

y is money in account 2

1st equation

$61,000=x+y

5%=0.05

7%=0.07

2nd equation

0.05*x+0.07*y=$3,430

x=61,000-y

substitute into 2nd equation

0.05(61,000-y)+0.07y=3430

Solve.

3050-0.05y+0.07y=3430

0.02y=3430-3050

0.02y=380

y=380/0.02

y=$19,000

There are 2(two) ways to solve for the 1st account, but I will do it the long way.

y=61,000-x

substitute into 2nd equation

0.07(61,000-x)+0.05x=3430

Solve.

4270-0.07x+0.05x=3430

-0.02x=3430-4270

-0.02x=-840

x=-840/-0.02

x=$42,000

The short way...

x=61,000-y

x=61,000-19,000

x=$42,000

Help please I am confused?

Answers

Answer:

Given m∠RST = (15x - 10)o

Using angle addition postulate:

m∠RST = m∠RSP + m∠PST (15x - 10)= (x + 25)+ (5x + 10)(15x - 10)=

so your answer would be (6x+35)

Step-by-step explanation:

If two opposite sides of a square are increased by 8 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 68 square meters. Find the area of the original square.

Answers

Answer:

21

Step-by-step explanation:

8 * 2 = 16

5 * 2 = 10

68 - 16 = 52 - 10 = 42.

The perimeter of the square is 42.

42 / 4 = 10.5. 10.5 is the length of a side.

10.5 * 2 = 21.

what place value are the 8s in 888,000?

Answers

Answer:

1,000

10,000

100,000

Step-by-step explanation:

Neil are 99% of the pizza. Did Neil eat the Entire Pizza? Yes or No

Answers

Answer:

No

Step-by-step explanation:

100 - 99 = 1.

He left 1% of pizza.

Therefore, the answer is no.

Answer:

no ◇◇

Step-by-step explanation:

I hoped I helped ◇◇

Other Questions
Alexis wants to learn HTML and CSS. She wants to test your coding skills in these design languages how can she practice code writing abilities? I really need help with this question What is an example of one aspect of health impacted the other three? Which country is big with many big rivers explain briefly what you understand by each of the following techniques of investment appraisal.1. profitability index Write in Spanish what do we have in the classroom, in a complete sentences, more than 50 words Please help me ASAP Narrative essay exampl A jug contains 20 3/8 cups of lemonade. If you are serving guests at a summer picnic, how many glasses can you fill if each guest gets 1 1/2 cups of lemonade? [tex](8 + 4 + 3) + (6 + 5 + 11) = [/tex] You have a piece of gold jewelry weighing 9.35g. Its volume is 0.654cm 3 . Assume the metal is an alloy of gold and silver, which have densities of 19.3g/cm 3 and 10.5g/cm 3 , respectively. Also assume that there is no change in volume when the pure metals are mixed. Calculate the percentage of gold (by mass) in the alloy. What is the horizontal distance between the two points (-7,-4) and (12,-4)? Remember that distance is always positive! Hint: The horizontal distance is represented by the 1st number in each coordinate. What is the difference between -7 and 12? box contains five while balls, four red balls and three blue balls. Suppose that three balls are randomly selected. a. What is the probability that exactly two of the balls are white ? b. What is the probability that one ball of each color is selected ? c. What is the probability that all three of the selected balls have the same color ? Which ratio is greater than 5/8 ? A. 12/24 B. 3/4 C. 15/24 D. 4/12 Why did slaves support the British?What percentage of colonists remained loyal to the British? (For the most part, none of them were imprisoned. Remember this when we study the French Revolution in the near future.) In the figure below, O is between M and P, and N is the midpoint of MO. IF NO=3 and MP = 10, find OP. What is meant by computer generation? 2. Simplify the following expression:(10 7r - p2)+(-6r2 - 18 +5r)Your answer How do you add a section break that would start the new section on the same page? Which genotype is written correctly? AaAP pApr iiYy