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yanalaym [24]
3 years ago
14

A clothing business finds there is a linear relationship between the number of shirts, n ,it can sell and the price, p , it can

charge per shirt. In particular, historical data shows that 5000 shirts can be sold at a price of $ 57 , while 15000 shirts can be sold at a price of $ 7 . Give a linear equation in the form p = m n + b that gives the price p they can charge for n shirts.
Business
1 answer:
DiKsa [7]3 years ago
7 0

Answer:

The equation that gives the price p they can charge for n shirts is

p = -0.005n + 82

Explanation:

Establish the variables for the equation

n = number of shirts that can sell

p = price per shirt

For case one we have n1 = 5000 p1 =$57

For case two we have n2 = 15000 p2= $7

Calculate the slope remeber that m=\frac{y2-y1}{x2-x1} in this case the y will be represented by the price (p) and the x by the number (n) so we have:

m = m= \frac{p2-p1}{n2-n1} = \frac{7-57}{15000-5000} = \frac{-50}{10000}=   \frac{-5}{1000} =-0.005

Replace in the equation (y-y1) = m (x - x1) with our variables:

(p-p1) = m(n-n1)

p - 57 = -0.005 (n - 5000)

p - 57 = -0.005n + 25

p = -0.005n + 25 + 57

p = -0.005n + 82

To verify we can replace for example the values of n2 to get p2 as follows

p= -0.005 (15000) + 82

p = - 75 + 82

p = 7

If fulfills the condition that for 15000 shirts the price is $ then the equation is correct

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Answer:

<u>List Of Communities Interest that engage in an organization's effort.</u>

1) Information Security Community

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3) General Business Community

Explanation:

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5 0
4 years ago
A series of five payments in constant dollars, beginning with $6,000 at the end of the first year, are increasing at the rate of
beks73 [17]

Answer:

The equivalent present worth of the series is $27,714.

Explanation:

We have a series of five payments (n=5), paid at the end of the year, starting with $6,000 and increasing at a rate of 5% per year.

The inflation rate is 4% and the market interest rate is 11%.

The equivalent present worth of the series, where we take into account yearly increments and discount the value by inflation and interest rate, is:

PV=\sum_{k=1}^5\frac{C_0(1+h)^{n-1}}{(1+i)^n(1+r)^n} \\\\PV=\frac{C_0}{(1+h)} \sum_{k=1}^5(\frac{(1+h)}{(1+i)(1+r)})^n

Where:

h: increment in the payments (5%)

i: rate of inflation (4%)

r: market interest rate (11%)

Then,

\frac{(1+h)}{(1+i)(1+r)}=\frac{1.05}{1.04*1.11}=\frac{1}{1.10} =0.91 \\\\\\PV=\frac{C_0}{(1+h)} \sum_{k=1}^5(\frac{(1+h)}{(1+i)(1+r)})^n\\\\PV=\frac{6,000}{1.05} \sum_{k=1}^50.91^n\\\\PV=5,714.3*(0.91+0.83+0.75+0.68+0.62)\\\\PV=5,714.3*3.8\\\\PV=21,714.3

7 0
3 years ago
All the members of the sales team at Arkema are new hires. The team members need to work together to ensure that clients' requir
Svetach [21]

Answer:

In a situation in which All the members of the sales team at Arkema are new hires. The team members need to work together to ensure that clients' requirements are fulfilled, and weekly targets set by the company are adequately met. However, the team members are often involved in minor arguments and find it difficult to work with each other.

The stages of team deelopment that would allow the members of the team to resolve the differences among its members is:  A) The norming stage

Explanation:

The norming stage of group development is the level in which the group finds its identity, its characteristics, establishes its codes and conducts expected for members, and also build a synergy that will make them work towards the same goal while finding the benefits of working together as the contribution each one can provide to the group. Thus, the team will find the answer to its problems here. Because they have to find their codes of conduct.

7 0
3 years ago
A retired woman has $180,000 to invest. she has chosen one relatively safe investment fund that has an annual yield of 9% and an
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Solution:  
Let the amount invested in scheme which yields 9% be x and amount invested in scheme which yields 13% be y.  
x + y = 180000 --equation 1 
0.09x + 0.13y = 18000 --equation 2  
Balancing the equations, multiply equation 1 with 0.09 and equation 2 with 1,  
0.09x + 0.09y = 16200 -equation 3
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Subtracting equation 4 from 3, 
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y = 45000 
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Answer:

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= $4,000.

Explanation:

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June 30 Total available             $4,000

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6 0
3 years ago
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