A company that makes barber scissors has found that the sales volume for barber scissors is directly proportional to the size of the sales force and inversely proportional to the price of the scissors. If 19440 pairs were sold in 2003, when there were 54 salespeople and the price was $20 a pair, what is the sales forecast for the upcoming year with 50 salespeople and a price of $18 a pair?

Answers

Answer 1

Answer:

20,000 pairs of barber scissors.

Step-by-step explanation:

The sales volume V for barber scissors is directly proportional to the size S of the sales force and inversely proportional to the price P of the scissors.

In other words, we can write that:

[tex]\displaystyle V = \frac{kS}{P}[/tex]

Where k is the constant of proportionality.

19,440 pairs were sold in 2013, when there was 54 salespeople and the price was $20 a pair. Hence, V = 19440 when S = 54 and P = 20. Substitute and determine the value of k:

[tex]\displaystyle \begin{aligned} (19440) &= \frac{k(54)}{(20)} \\ \\ 19440 &= \frac{27}{10}k \\ \\ k &=\frac{10}{27}(19440) = 7200 \end{aligned}[/tex]

Hence, our equation is:

[tex]\displaystyle V = \frac{7200S}{P}[/tex]

We want to determine the sales forecast with 50 salespeople and a price of $18 a pair. Hence, S = 50 and P = 18:

[tex]\displaystyle \begin{aligned} V&= \frac{7200(50)}{(18)} \\ \\ &= 20000\end{aligned}[/tex]

In conclusion, 20,000 pairs of barber scissors can be expected to be sold.


Related Questions

In 3 years time Sarah will be twice as old as Emma was last year .Emma now 11 years how old is Sarah

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Answer:

Sarah is 25 years old

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the coefficient of y? – 5x + 6y

Answers

Answer:

Five and six is the coefficient

Select the equivalent expression.
5
23
=?
42
Choose 1 answer:
A
44
215
410
46
47

Answers

Answer:

The choose B.

[tex] \frac{2^{15} }{ {4}^{10} } [/tex]

I hope I helped you^_^

Solve the system of equations using substitution or elimination:
x = 3y + 6
2x - 4y = 8

Answers

Answer:

x=0, y=-2

Step-by-step explanation:

Let x=3y+6 be equation 1

and 2x-4y=8 be equation 2

sub equation 1 into equation2,

2(3y+6)-4y=8

6y+12-4y=8

2y=-4

y=-2

sub y=-2 into equation 1,

x=3(-2)+6

x=0

sub is an abbreviation for substitute

If ST= 16 and RT= 69​, find RS.

Answers

6969696969420 ok using the math law 2.0 I get the answer 420

Evaluate A2 for A = -4

Answers

Answer:

16

Step-by-step explanation:

A² for A = -4

= (-4)²

= (-4) × (-4)

= 16

Answer:

A² = 16

Step-by-step explanation:

Substitute A = - 4 into the expression

A² = (- 4)² = - 4 × - 4 = 16

Round the numbers to the nearest thousand 7,432=
-3,869
Find the estimated answer

Answers

Answer:

KY S

Step-by-step explanation:

The model below can be used to find the quotient of one over two divided by one over six. What is the quotient?
a.6
B.3
C.7 over 8
D 6 over 7

Answers

Answer:

1/2 ÷1/6=1/2×6/1

=6/2=3.

the answer is 3

even though I didn't get the question I hope it helps

The cost of renting the Party Barn is $150 flat fee plus an additional $50 per hour. Manny can spend up to $325 to rent
the Party Barn for his birthday party. What are the possible hours that Manny could rent the Party Barn?

Answers

150$ flat fee means that 325-150= 175$ he can spend by the hour. Since it is 50$ and hour, he can spend no more than 3.5 hours in there as 175\50 = 3.5 . If it is by the whole hour, then 3 because he cannnot round up and afford 4.

(a+b)ˇ2 - 3 -6 - 0 + 5 =

Answers

Answer:

a+b=2

Step-by-step explanation:

start by combining all the terms that are possible: (a+b)^2 - 4 = 0

move -4 to the other side:  (a+b)^2= 4

Find the square root of both sides: a+b=2


You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 6 total people. How much
yogurt should you add

Answers

Answer:

Step-by-step explanation:

1 2/4

Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.

That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.

Hope this helps and if possible brainliest please?

pls answer fast I will give you hundred points​

Answers

1.1:00
2.2:30
3.4:45
4.3:15
5.11:45
6.6:15
7.6:00
8.2:30
9.6:45
10.6:55
11.4:45
12.10:15
Question number 2
1.7:30
2.10:30
3.3:30
4.5:30
5.9:30
6.12:30

Solve the equation. Provide your answer as a simplified fraction or round to the nearest hundredth, if necessary.

(-3/2)(4x + 2) + 2x = -30

x = _______ ?

Answers

Answer:

[tex] \frac{ - 3}{2} (4x + 2) + 2x = - 30 \\ \frac{ - 3 \times 4x}{2} + \frac{ - 3 \times 2}{2} + 2x = - 30 \\ - 6x + - 3 + 2x = - 30 \\ - 4x - 3 = -30 \\ - 4x = -27\\ x = \frac{-27}{ - 4} \\ = 6.75 = 7 \\ thank \: you[/tex]

how about you solve X2+4x-20=0 in algebra 1 explanation on how you got the answer​

Answers

Answer:

x=−2+2√6 or x=−2−2√6

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+4x−20=0

For this equation: a=1, b=4, c=-20

1x2+4x+−20=0

Step 1: Use quadratic formula with a=1, b=4, c=-20.

x=

−b±√b2−4ac

2a

x=

−(4)±√(4)2−4(1)(−20)

2(1)

x=

−4±√96

2

x=−2+2√6 or x=−2−2√6

Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social security tax deducted from Martha’s gross pay.
a.
$7.54
b.
$65.37
c.
$75.37
d.
$75.40


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

(c) $75.37

Step-by-step explanation:

SStax = GrossPay * SSrate

SStax = 1215.60 * 6.2%

SStax = 1215.60 * 0.062

SStax = 75.37

Please no links because they dont work :).

Answers

Answer:

C

Step-by-step explanation:

Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. For example, the expression 7x(y+3) has three factors: 7 , x , and (y+3) .

Your answer will be C for short answer if u need a explanation let me know

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Answers

Answer:

The correct answer is A.

Step-by-step explanation:

pls hurrryyyyyyy #42 only and show work

Answers

Answer:

x = 70

Step-by-step explanation:

50 + x + 2x + 100 = 360

Combine like terms

3x + 150 = 360

Subtract 150 from both sides

3x = 210

Divide both sides by 3 to isolate x

x = 70

Find the common difference of the arithmetic sequence -6, 2, 10, ...

Answers

Answer:

8

Step-by-step explanation:

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2 Find F{G[H(2)]}. 27 71 121

Answers

Answer:

27

Step-by-step explanation:

H(2)=2^2=4

G(H(2))= 3(4) +2=14

F(G(H(2)))=2(14)-1=27

a boy walks 16 km in 2 days, in how many days will he walk 256km?

Answers

Answer:

32 days

Step-by-step explanation:

2 days = 16km

1 day = 8km

256km÷8km=32 days

an elevator in a tall building goes up 7 floors, then down 9 floors, down 4 floors, up 8 floors, anddown 2 floors. now it is on floor 14 on what floor did the elevator start

Answers

Answer:

It started on the same floor, floor 14

Step-by-step explanation:

if it went up 7 then down 9, so negative 2 kinda, then down another 4, so negative 6, then up 8 so positive 2, then down 2, it would've started on floor 14

Answer:

14

Step-by-step explanation:

Let the floor started be 'x'

Equation:-  

=> x + 7 - 9 - 4 + 8 - 2= 14

x + (+7) + (-9) + (-4) + (+8) + (-2) = 14  

x + 7 - 9 - 4 + 8 - 2 = 14  

x + 15 - 15 = 14  

x = 14

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what are the steps in order needed to solve 3x+4=13
pls help

Answers

Subtract 4 from both sides ( so 4-4 and 13-4) you should now have 3x=9 now 3 divided on both sides you should have an answer of x=3
Answer:

x = 3

Step-by-step explanation:

3x + 4 = 13

Subtract 4 from both sides

3x = 9

Solve for x

x = 9/3

x = 3

Rewrite in simplest terms: 4(3d + 7f) – 5f – 3(9f + 3d)

Answers

Answer:

3d - 4f

Step-by-step explanation:

(12d + 28f) - 5f - (27f + 9d)

12d + 28f - 5f - 27f - 9d

(12-9)d + (28-5-27)f

3d - 4f

don't forget to put bracket, it is fundamental

4(3d + 7f) – 5f – 3(9f + 3d)

Use the distributive properly:

12d + 28f - 5f -27f -9d

Combine like terms:

3d -4f

What do you start with?
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Answers

always start with what’s in the parentheses:)

Answer:

PEMDAS

a

r

e

n

t

h

e

s

e

s

Step-by-step explanation:

in pemdas parenthesis are always first so start with the parenthesis and you should get an answer of N=4

What is the greatest
common factor (GCF)
of 40 and 42?

Answers

Answer: GCF of 40 and 42 is 2

Someone help me please

Answers

Answer:

option a

Step-by-step explanation:

all positive real numbers

Can someone help me with questions 12 and 13 please I am very confused with this two I’ll appreciate it!

Answers

Answer:

12. (2, -3)

13. AH: +15   B: +721   CB: 0   N: +462   WB: -1200

Step-by-step explanation:

12.

When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).

The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).

13.

All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.

Arrow head: +15 (since it is 15 feet above sea level)

Woven basket: -1200 (since it is 1200 feet below sea level)

sin t sin 3t sin 5t = 1/4(-sin t + sin 3t +sin 7t - sin 9t).​

Answers

Recall that

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

cos(a - b) = cos(a) cos(b) + sin(a) sin(b)

and by subtracting the first equation from the second, we get

cos(a - b) - cos(a + b) = 2 sin(a) sin(b)

So, we can write

sin(t) sin(3t) = 1/2 (cos(2t) - cos(4t))

and expanding the left side in the original equation gives

sin(t) sin(3t) sin(5t) = 1/2 (cos(2t) - cos(4t)) sin(5t)

… = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

Similarly, recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

===>   sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Then

cos(2t) sin(5t) = 1/2 (sin(7t) + sin(3t))

and

cos(4t) sin(5t) = 1/2 (sin(9t) + sin(t))

So we have

sin(t) sin(3t) sin(5t) = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

… = 1/2 (1/2 (sin(7t) + sin(3t))) - 1/2 (1/2 (sin(9t) + sin(t)))

… = 1/4 sin(7t) + 1/4 sin(3t) - 1/4 sin(9t) - 1/4 sin(t)

… = 1/4 (-sin(t) + sin(3t) + sin(7t) - sin(9t))

as required.

Help anyone can help me do this question 2,I will mark brainlest.The question is prove that vertices (9,5),(5,-1),(-1,3)of a triangle is an isosceles triangle.​

Answers

Step-by-step explanation:

it's an isosceles because it's has two vertices with the points -1

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