The following table shows the salary of 7 people in an office last year.

Name Income
Andy £9500
Bevan £25000
Cheryl £13250
Deva £75000
Elliott £18750
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer 1
184000 / 7 = 26285.71
109000 / 6 = 18166.67

Related Questions

Joe read 140 pages of his 300- page book. What percent of the book has he read?

Answers

Answer:

47 percent

Step-by-step explanation:

140/300divide by 347/100percentages are out of 100 so it is 47

The best translation for Zimbabwe is:
A. The Temple of God
B. The Ruler on High
C. The House of Rock
D. The Children of the Sun

Answers

Answer:

Zimbabwe is a Bantu word for stone houses so the answer is C

Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity.

Answers

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

Given polynomial equation q(x)=12x⁵+40x⁴-32x³, therefore, the factorised form of the equation will be,

[tex]q(x)=12x^5+40x^4-32x^3\\\\q(x)=4x^3(3x^2+10x-8)\\\\q(x)=(4x^3-0)(3x^2+12x-2x-8)\\\\q(x)=(4x^3-0)[3x(x+4)-2(x+4)]\\\\q(x) = (4x^3-0)(3x-2)(x+4)[/tex]

Therefore, the multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.

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What is the length of AB?

Answers

Answer:

10

Step-by-step explanation:

AB²=8²+6²

=64+36

=100

AB=10

Answer:

10 units

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

6² + 8² = c²

c = √100

10 units

BRAINLIEST please if this helped!

4 Jackson's mom limits the amount of time he is allowed to play video games. After
Jackson plays for 9 minutes, his mom tells him that he has used up 30% of his time.
How many more minutes can Jackson play before he uses all of his time?
Show your work.
Answer Jackson can play
more minutes.

Answers

Answer:

Jackson can play for 21 more minutes.

Step-by-step explanation:

If 9 minutes = 30% or 0.3

then we can set up a ratio to cross multiply.

(9/30) = (x/100)

then croos multiply and divide to isolate and solve for x.

(9 * 100) / 30 = 30

That means 100% of Jackson's time is 30 minutes.

30 - 9 = 21. So jackson can play for 21 more minutes before he uses all of his time.

But by the time he figures all of this out he'll probably have to turn it off anyways :)

What is 3,235 divided by 20?

Answers

Answer:

161.75

(You can use a calculator to calculate this)

Answer:

161.75

Step-by-step explanation:

A small shipping crate can hold up to 500 pounds. Kelly needs to ship two machine parts that are 255 pounds and 321 pounds. She wants to estimate to see if she can ship both machine parts in the same crate. Complete the statements.

Answers

Answer: no they don't both fit in one box.

Step-by-step explanation: first off, 200 plus 300 is 500, and both numbers are bigger. Then if you wanted to round it to the nearest 10, you would get 580. 580>500 so yeah. that won't work.

Your annual salary is $60,000. What is your semimonthly salary? What is your biweekly salary?​

Answers

Answer:

2,307.69 per biweekly paycheck and 2,500 per semi monthly paycheck

Step-by-step explanation:

If you didn't already know, monthly pay has 12 paychecks, semi-monthly pay has 24 paychecks, biweekly pay has 26 paychecks, and weekly pay has 52 paychecks. If you break down 60k into these paychecks, here are the results: $60,000/12 equals $5,000 (monthly pay) $60,000/24 equals $2,500 (semi-monthly pay)

hope this helps

Hover– High helicopters manufacturers radio – control toy helicopters. They have their quality control down to a point we’re only one in 100 built could be defective and returns for repair at a cost to the company of $50. At a profit margin of $10 per unit, what would their profit be per unit after selling 200 copters?

Answers

If a profit margin is $10 per unit, what would their profit be per unit after selling 200 copters is $9.40.

Profit per unit

First step

There are 2 defectives in 200 copters

Total profit=[(200-2)×$10]-($50×2)

Total profit=(198×$10)-$100

Total profit=$1,980-$100

Total profit=$1,880

Second step

Profit per unit=$1,880/200

Profit per unit=$9.40

Therefore their profit be per unit after selling 200 copters is $9.40.

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Meade gave 1/7 of a candy bar to Max and then ate 2/5 of the candy bar himself. What fraction of the candy bar is left?
There is ______ of the candy bar left

Answers

Let's break this problem into a few steps:

First, Meade gave 1/7 of candy to Max

             ⇒ Amount of Candybar: Candy - (1/7)Candy = (6/7)Candy

Second, Meade ate 2/5 of the candy

            ⇒ Amount of Candy left:  

                     Total amount of candy - (2/5) * Total amount of candy

                                                  = (6/7) Candy - (2/5) *(6/7)Candy

                                                  = (1 - (2/5)) * (6/7) Candy

                                                  = 3/5 * 6/7 = 18/35 Candy

Thus there is 18/35 of the candy left.

What is answer?

Not really good. At this

Answers

J
Because 15 - 13 is 2 x (8 + 4 = 24 and divided by 6 is 4

FIND THE AREA PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

53.2 square feet

638.4 square inches

Step-by-step explanation:

The formula for area of parallogram is l x w.

91.2 inches to feet is 7.6 feet.

7.6 is the width and 7 is the length.

7.6 x 7 = 53.2


A pair of flip flops is labeled $9 on the price tag. At the register, I paid $9.45. What percent of $9 is $0.45?

Answers

5% of 9 is 0.45.

Why? Well 0.45 times 20 is equal to 9, and 100 divided by 20 is 5 therefore 5 percent.

what is the raidus of the cone in the diagram. height = 12 units Volume = 201.06 cubic unit

Answers

Answer:

4 units (nearest whole number)

Step-by-step explanation:

Formula

[tex]\textsf{volume of a cone}=\dfrac13 \pi r^2h[/tex]

Solution

Given:

volume = 201.06 units³height = 12 units

[tex]\implies 201.06=\dfrac13 \pi r^2(12)[/tex]

[tex]\implies 201.06=4 \pi r^2[/tex]

[tex]\implies r^2=\dfrac{201.06}{4 \pi}[/tex]

[tex]\implies r=\sqrt{\dfrac{201.06}{4 \pi}}[/tex]

[tex]\implies r=3.999980804...[/tex]

Therefore, the radius of the cone is 4 units (nearest whole number)

THIS IS MY SISTER LAST QUESTION TAKE YOUR TIME1

Answers

Answer:

B

Step-by-step explanation:

[tex][(8+15) \times 3] \div 3\\= \frac{(8+15) \times 3}{3}\\= \frac{8 + 15}{1}\\= 8 + 15 = 23[/tex]

Help please thank u!! ​

Answers

Answer:

E={1,2,3}

Step-by-step explanation:

First one is the correct answer

PLEASE HELP WILL MARK BRAINLIEST THANK YOU

Answers

Answer:

y = -1/4x + 8

Step-by-step explanation:

original line is y - 4x = 4

y = 4x + 4

dy/dx = 4

gradient of line perpendicular to the original line

= -1/4

thus answer is y = -1/4x + 8

hope this helps!

HELP ME WITH THIS IF U PLEASE​

Answers

PART A

WT = 30

30 = 3HF + 2FA

30 = 3x + 2y

2y = 30 - 3x

y = 15 - 3/2x

0 = 15 - 3/2x

3/2x = 15

x or EH = 10

y = 15 - 3/2(10)

y = 15 - 15

y or FA = 0

Okay so this problem doesn't make sense because FA cannot = 0. I know I did the first part right - change of variables. I'm just not sure if we can use the information in part b to answer part a... Anyway, I hope this helps!

solve the given equation state the number and type of roots x^2-5x-36=0

Answers

We can solve this quadratic equation using factorisation method as follows

:x2−5x−36=0

x2+4x−9x−36=0

x(x+4)−9(x+4)=0

(x+4)×(x−9)=0

x+4=0orx−9=0

x=−4orx=9

In the similar quadrilaterals below, what angle corresponds to ∠C? ∠H ∠G ∠F ∠E

Answers

we need to see the shapes

A theater has 1200 seats. Each row has 20 seats. Write and solve an equation to find the number x of rows in the theater.

An equation that represents this problem is
=1200.

There are
? rows in the theater.

Answers

I believe the answer is 60
1200 divided by 20=60

What is the total cost of 8 loaves of bread at £1.38 each?

Answers

Answer:

£11.04

Step-by-step explanation:

1.38 x 8 = 11.04

number 9 and 10, please

Answers

Answer:9 is g and b

Step-by-step explanation:

because they all involved the answer

Justin recently drove to visit his parents who live 720 miles awayOn his way there his average speed was 11 miles per hour faster than on his way home (he ran into some bad weather)If Justin spent a total of 24 hours drivingfind the two rates

Answers

Answer:

48hours drivinh from two rates

What is one disadvantage of a trade school education over a four-year college?
A. The cost will be higher.
B. Your courses will not be as diverse.
C. You will have to study longer.
D. You will be less prepared to work.​

Answers

Answer: B. Your courses will not be as diverse.

Step-by-step explanation:

      A four-year college will have many different classes and courses you can take in different areas. Trade school courses focus on a specific skill, such as being a dentist or an electrician. This means the answer to your question is;

         B. Your courses will not be as diverse.

Answer: B: Your courses will not be as diverse

Step-by-step explanation: Trade schools focus on preparing you for a specific trade rather than general studies

The model n(T)= 2^t represents the number of bacteria in a petri dish after c hours
where t= 0 represents the time when the bacteria were first put into the dish.
What is the correct value and interpretation of n (10)

Answers

Answer:

1024

Step-by-step explanation:

n(10) =2^10

n(10) = 1024

Given points​ P, Q,​ R, and​ S, decide whether PQ and RS are​ parallel, perpendicular, or neither.
P​ (9,10) Q(10,3) R (-9,4) S (-2,5)

Answers

Answer:

Opposite Sides of Parallelogram are equal

If All opposite sides are equal , it is Parallelogram

For this You need to use distance formula that is

√(x2-x1)2+(y2-y1) 2

A man holds a note of ​$6,000 that has an interest rate of 11​% annually. The note was made on March 17 and is due November 14. He sells the note to a bank on June 13 at a discount rate of 10​% annually. Find the proceeds on the​ third-party discount note.​ (Use the​ banker's rule.)

Answers

The value of the proceeds on the third party discount note for the specified condition is $5968.28

How to calculate proceeds?

Proceeds is the difference between maturity value of the original rate and the third party discounts. Or,

Proceeds = Maturity value of the original rate - Third party discounts

How to calculate the maturity value of the original rate?

Let we take:

P = principal amount on which interest will be applied.R = interest rateT= time period for which interest will be applied,

Then we get:

Maturity value = P(1 + RT) (use decimal value of R instead of percent. For that, divide the percentage value by 100 to convert it to decimal (if its in percent) ).

How to calculate the third party discounts?

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

For this case, we're specified that:

P = principal amount on which interest will be applied = $6000Rate of interest = R = 11% = 0.11 (in decimal form) (annually)Time = from 17th march till 14th november.

Using banker's rule (which assumes 360 day year with 30 day months), we get:

Number of days from 17th march till 14th november = number of days from 17th march till 16th november - 2 = [tex]8 \times 30 - 2 = 238[/tex] (as there are 8 months in between, all of assumingly 30 days)

Converting this to year, we get:

[tex]T = \dfrac{238}{360} \approx 0.661[/tex] years.

Thus, we get:

Maturity value = [tex]P(1 + RT) \approx 6000 (1 + 0.11 \times 0.661) = 6436.26 \: \rm dollars[/tex]

And therefore, we get:

Third party discount =  Maturity value × R × T = [tex]6436.26 \times 0.11 \times 0.661 \approx 467.98 \: \rm dollars[/tex]

Thus, the value of the proceeds on the third-party discount is:

maturity value - third party proceeds = [tex]6436.26 - 467.98 = 5968.28 \: \rm dollars[/tex]

Thus, the value of the proceeds on the third party discount note for the specified condition is $5968.28


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A box of 25 munchkins cost $5.46 what is the unit rate per munchkin

Answers

The unit rate per munchkin is $0.22.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The cost of 25 munchkins cost $5.46, therefore, the unit rate of each munchkin can be written as,

[tex]\text{Cost of unit munchkin} = \dfrac{\text{Total cost of munchkins}}{\text{Number of munchkins}}\\\\\text{Cost of unit munchkin} = \dfrac{\$5.46}{25}=\$0.2184 \approx \$0.22[/tex]

Hence, the unit rate per munchkin is $0.22.

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Topic: Labor Economics.

Need solution for tasks 4 4.1 4.2 4.3

Answers

The curves of the labor market are illustrations of demand and supply, and the curves are all linear functions

4.1: The graph of the curves of the labor market

The equations are given as:

D = 36 - 2W

S₁ = 9 + W ---- domestic (i.e. without immigrants)

S₂ = 10 + 2W ---- total (i.e. including immigrants)

See attachment for the graph

4.2: The equilibrium wage rate before immigration

This is the point of intersection between the curves of S₁ and D.

From the graph, we have:

(W, D) = (9,18)

Hence, the equilibrium wage rate before immigration is $9, and the number of workers that would be hired is 18

4.3: The equilibrium wage rate after immigration

This is the point of intersection between the curves of S₂ and D.

From the graph, we have:

(W, D) = (6.5,23)

Hence, the equilibrium wage rate after immigration is $6.5, and the number of workers that would be hired is 23

4.3.1: Number of domestic workers hired

Substitute 6.5 for W in S₁ = 9 + W

S₁ = 9 + 6.5

S₁ = 15.5

Remove decimal

S₁ = 16

Hence, the number of domestic workers that would be hired is 16

4.3.1: Number of immigrants hired

Substitute 6.5 for W in S₂ = 10 + 2W

S₂ = 10 + 2 * 6.5

S₂ = 23

Subtract S₁ = 16 from S₂ = 23

Immigrants = 23 - 16

Immigrants = 7

Hence, the number of immigrants that would be hired is 7

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