A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each. Find the equation of the form P(n)

Answers

Answer 1

Answer:

The equation of the form P(n) is:

P(n)=-0.002n+75

Step-by-step explanation:

From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:

m=(p1-p2)/(n1-n2)

m=slope

p1=69

p2=61

n1=3000

n2=7000

m=(69-61)/(3000-7000)

m=8/-4000

m=-0.002

Now that you have the slope, you can find the the equation of the form P(n):

P(n)=-0.002(n-3000)+69

P(n)=-0.002n+6+69

P(n)=-0.002n+75

According to this, the answer is that the equation of the form P(n) is:

P(n)=-0.002n+75


Related Questions

Find the indicated limit, if it exists.

Answers

Answer:

2

Step-by-step explanation:

[tex]Lim_{x\to 8} f(x), \: f(x) \begin{cases} x + 10 \: \: \: \: x < 8 \\ \\ 10 - x \: \: \: \: x \geqslant 8\end{cases}[/tex]

[tex] Lim_{x\to 8} f(x) = Lim_{x\to 8} 10 - x \\ \\ = 10 - 8 \\ \\ = 2[/tex]

Find the area of the polygon.
16 ft
14 ft
2 ft
2 ft

Answers

Answer:

448ft

Step-by-step explanation:

16 x 14 x 2 x 2

  \   /         \   /

  224   x    4

          \    /

          448

Find the area of the polygon 2cm 2cm 3cm in square centimeters​

Answers

Answer:

12sq cm

Step-by-step explanation:

For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!

33√8

9√20

444÷333

5552×333


3÷99


44√5

6622÷33








Answers

Step-by-step explanation:

93.340.21.318488163398.3200.6

if u want it by step by step thn tell me i will do that..

What is the volume of of a rectangular prism with the following measurements:

Length: 3 yd
Width: 1/2 yd
Length: 1/2 yd

A 3/4 yd cubed
B 2/3 yd. cubed
C 6/2 yd. cubed
D 6/8 yd. cubed

I will give brainleast

Answers

Answer:

b

Step-by-step explanation:


What is the solution to the following system? Type answer in (x,y) format, do not use spaces,
(Graphing)
(Worth 10 points)

Answers

Answer:

The solution is: (4,-7)

Step-by-step explanation:

Given

The attached graph

Required

Determine the solution

The solution is the point where both lines meet.

From the attached graph, the two lines meet at:

[tex]x =4\\y = -7[/tex]

Hence, the solution is: [tex](4,-7)[/tex]

WILL MARK BRAINLIST
Which set of side lengths below will NOT form a right triangle?

A. 3 ft, 4 ft, 5 ft
B. 8 m, 15 m, 17 m
C. 1 in, 2 in, 3 in
D. All sets of side lengths above will form a right triangle.

Answers

Answer:

C. 1 in, 2 in, 3 in

if you think about it- the 3inch side will be as long as the other 2 sides put together. it wouldn't form a triangle at all- just one line on top of the other 2.

HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!

Answers

Answer:

two hundred and forty inches

Answer:40

Step-by-step explanation:Parallelogram

Solve for area

A=40

Solution

A=bh=8·5=40

formula A=base*height

need help with this ‼️

Answers

Heyy
GO to math-way it’s a algebra calculator it works type this problem in

given the equation y = 2x - 8 what is the slope and the y-intercept​

Answers

Answer:

slope: 2

y intercept 0, -8

Slope is 2 and y-intercept is -8. This is because of the equation y=mx+b. M is slope and b is y intercept

FREE BRAINLIST NEED HELP ASAP

Answers

Answer:

A)4.6 yard

Step-by-step explanation:

[tex]x^{2} +10^{2} =11^{2} \\x^{2} =21\\x=\sqrt[2]{21} \\[/tex]

x≅4.6

Hoped I helped, have a nice day!

Solve the equation for y. 6x+y=12

Answers

6x+y=12
Subtract 6x from both sides.
y=-6x+12

WILL GIVE BRAINLIEST

Answers

Answer:

B. 12

Step-by-step explanation:

First, we need the degrees for A. So, cosx = 5/13    =    67.4

Now it will be easy to solve a. tan67.4° = a/5    =   12.011728511....

we round it to the nearest tenth and we get 12.

Step-by-step explanation:

By pythagoras theoram

[tex]c = \sqrt{a2 + b2} [/tex]

13=a²+5²a²=13²--5²a²=169--25a²=144

I think this is a helpful for you

It costs $6 per hour for a park to water the grass. How much will it cost to water the grass for
7/3
hours?

Answers

$43.8, do 7.3 (if that’s how long it was) times $6, giving you 43.8

Answer:

I think the answer is $14 hope this helps!

Step-by-step explanation:

HELP I WILL GIVE BRAINLEIST OR WHATEVER 50 POINTS​

Answers

answer:

a. scarf costs today = $6

b. scarf costs 3 days from now = $3

step-by-step explanation:

1/2 off means you would multiply the amount by 1/2 then subtract

a. original price of scarf: $12

12 X 1/2 = 6

12 - 6 = 6

— scarf costs today = $6

do the same thing but this time it is a different number

b. 12 X 3/4 = 9

12 - 9 = 3

— scarf costs 3 days from now = $3

answer the questions, please I will give you 10 points

Answers

A) 3 times 7x makes it a normal number of 21.
B) using PEMDAS you must multiply 5 times 5 to put 5 to its own power, then multiply by 2 to get 50, then add 4 getting 54.
C) 9 times 5y gets the normal number of 45, then subtract that from 80, you get 35.

Two small space probes have been slowed to 10 m/s as they approach the Moon from the same direction. Probe 1 has a mass of 86 kg, and probe 2 has a mass of 100 kg. What is their total momentum? A. 8600 kg O B. 1000 kg-m/s O C. 860 kg-m/s O D. 1860 kg-m/s SUBMIT​

Answers

The total momentum of the two probes with  given mass and velocity is equal to option D. 1860 kg m/s.

velocity of probe = 10m/s

mass of probe 1 = 86kg

mass of probe 2 = 100kg

The momentum of an object is given by the product of its mass and velocity.

So, to calculate the total momentum of the two probes,

Find the momentum of each probe, and then add them together.

The momentum of probe 1 is equal to,

p₁ = m₁ × v

Substitute the value we have,

⇒ p₁ = 86 kg × 10 m/s

⇒ p₁ =  860 kg m/s

The momentum of probe 2 is equal to,

p₂ = m₂ × v

⇒ p₂ = 100 kg × 10 m/s

⇒ p₂ = 1000 kg m/s

The total momentum of the two probes is the sum of their individual momenta is equal to

p = p₁ + p₂

⇒ p = 860 kg m/s + 1000 kg m/s

⇒ p = 1860 kg m/s

Therefore, the total momentum of the two probes is option D.1860 kg m/s.

Learn more about momentum here

brainly.com/question/13473688

#SPJ1

Help me help me help me pls pls pls

Answers

Answer:

x = 121

Step-by-step explanation:

all angles sum = 540

87 + 92 + 105 + 135 = 419

540 - 419 = 121

A bus left Lagos on Monday at 6.30a.m. and arrived Kaduna on Tuesday at 3.00p.m. How long did the journey take?​

Answers

Answer:

8 hours and 30 minutes

Step-by-step explanation:

well 6:30am monday to 6:30am tuesday would be 24 hours

plus 9 hours until 3:30pm

then subtract 30 minutes to have 3:00

so 8 1/2 hours

The coordinate plane shows a line traveling through two points.

The coordinates that represent another point on the line are


a (3,5)

b (3,2)

c (5,3)

d (6,7)

Answers

A. (3,5) represent another point on the line

An investment counselor calls with a hot stock tip. He believes that if the economy remains​ strong, the investment will result in a profit of ​$30,000. If the economy grows at a moderate​ pace, the investment will result in a profit of ​$10,000. ​However, if the economy goes into​ recession, the investment will result in a loss of ​$30,000. You contact an economist who believes there is a 20​% probability the economy will remain​ strong, a ​60% probability the economy will grow at a moderate​ pace, and a ​20% probability the economy will slip into recession. What is the expected profit from this​ investment?

Answers

Hope this helps enjoy the rest of ur day

factor g(x) =6x^3 +13x^2 -2x -1 if (2x + 3) is a factor.​

Answers

Here’s what I got hope it helps

PLEASE HELP!!!!! WILL GIVE BRAINLIEST

Answers

1) Alternate interior angles
2) Side Angle Side
3) Corresponding Parts of Congruent Triangles are Congruent

It is desired to compare the hourly rate of an entry-level job in two fast-food chains. Eight locations for each chain are randomly selected throughout the country, the selections for each chain being independent. The following hourly rates are recorded:
Chain A 4.25 4.75 3.80 4.50 3.90 5.00 4.00 3.80
Chain B 4.60 4.65 3.85 4.00 4.80 4.00 4.50 3.65
Under the assumption of normality and equal variances, can it be concluded at the 5% significance level that chain A pays more than chain B for the job under consideration?

Answers

Answer:

It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration

Step by Step Solution:

The given data are;

Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80

Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65

Using the functions of Microsoft Excel, we get;

The mean hourly rate for fast-food Chain A, [tex]\overline x_1[/tex] = 4.25

The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478

The mean hourly rate for fast-food Chain B, [tex]\overline x_2[/tex] = 4.25625

The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649

The significance level, α = 5%

The null hypothesis, H₀:  [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]

The alternative hypothesis, Hₐ:  [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]

The pooled variance, [tex]S_p^2[/tex], is given as follows;

[tex]S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}[/tex]

Therefore, we have;

[tex]S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682[/tex]

The test statistic is given as follows;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176[/tex]

The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14

At 5% significance level, the critical t = 2.145

Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration

10. A vehicle averages 68 km/h. How many kilometres can the car travel in 3 hours?​

Answers

Answer:

15 I believe. ...

Step-by-step explanation:

uhhhhhh

Calculate the volume of the given pyramid to the nearest tenth

Answers

Answer:(A.)

Step-by-step explanation:The reason why its a its because that 13x8=104x17=1,768/3=589.3. Therefore 589.3 can not be round to the nearest tenth.

List two solutions for the equation: y = 4.5x + 9

Answers

Answer:

say 5 and 6

Step-by-step explanation

you just multiply it

5 and 6 maybe.

hope that’s helpful

WILL GIVE BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

It's not A and B because an exponent to the negative number leads to the fraction.

e.g. 10^-a = 1/(10^a)

It's not D because 5,030,000 rounds to 5,000,000 and not 6,000,000.

hellllllllllllllllllllllp

Answers

Answer:

1200

Step-by-step explanation:

Noise levels at 5 airports were measured in decibels yielding the following data:
117,118,140,116,119
1. Construct the 90% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.
2. Calculate the sample mean for the given sample data.
3. Find the critical value that should be used in constructing the confidence interval.

Answers

Answer:

1. 112.364<μ,131.636

2. mean = 122

3. critical value = +-2.1318

Step-by-step explanation:

117+118+140+116+119/5

= 610/5

= 122

the sample mean = 122

the sample standard deviation

s² = (117-122)²+(118-122)²+(140-122)²+(116-122²)+(119-122)²/5-1

= 25+16+324+36+9/4

= 410/4

= 102.5

s² = 102.5

s = √102.5

s= 10.12

SE = s/√n

= 10.12/√5

= 4.52

degree of freedom = 5-1 = 4

critical value of t = +-2.1318 using soft ware

confidence interval =

mean +- t(SE)

122-(2.1318)(4.52), 122+(2.1318)(4.52)

= [112.364, 131.636]

112.364<μ,131.636

therefore these are the answers in the ordre it was given in the question

1. 112.364<μ,131.636

2. mean = 122

3. critical value = +-2.1318

Other Questions
Which was NOT an improvement Napoleon made for the people of France? How many Native Americans were forcibly relocated by the government under the Indian Removal Act? A) About 100,000B) About 1 million C) About 50 if Sonja makes $2100 interest after investing $15,000 at 2.8%, how many years did she invest for? Mes amis prennent ____ glace.Nous voulons ___ bire.Ils boivent _____ whisky.Je ne bois pas ___ eau minrale.pleasee i need it for my homeworkk Match the box basically lol Solid iron is mixed with a solution of copper (I) nitrate to form iron (III) nitrate solution and metal copper. what is the balanced equation? When jumping straight down, you can be seriously injured if you land stiff-legged. One way to avoid injury is to bend your knees upon landing to reduce the force of the impact. A 84.0-kg man just before contact with the ground has a speed of 6.82 m/s. (a) In a stiff-legged landing he comes to a halt in 4.56 ms. Find the magnitude of the average net force that acts on him during this time. (b) When he bends his knees, he comes to a halt in 0.254 s. Find the magnitude of the average net force now. (c) During the landing, the force of the ground on the man points upward, while the force due to gravity points downward. The average net force acting on the man includes both of these forces. Taking into account the directions of the forces, find the magnitude of the force applied by the ground on the man in part (b). A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the ball? When will it attain this height? Use H=-16T2+26T Help me with this!!! What man was critical of the new deal for its failure to address the plight of "the forgotten man" ? What types of products might slave traders have brought from the English colonies in exchange for enslaved Africans? What is the longest iron rod which can be placed flat across the diagonal of a 4m by 2.5m garden shed floor 2.5 = x/2. What is x? (x/2 is a fraction) HELP MY TABLET KEEPS ON REBOOTING I TRIED TO FACTORY RESET BUT IT KEEPS ON REBOOTING Evaluate the expression (41)2 In BCD, the measure of D=90, the measure of B=51, and CD = 8.8 feet. Find the length of DB to the nearest tenth of a foot What is the equation of the line in slope-intercept form? What does the enemy of my enemy is my friend refer to?A. You have a lot of enemies B. Militarism C. AlliancesD. Nationalism Which expression is equivalent to 99 + 22? A. 11(9) + 2(1) B. 11(9 + 2) C. 9 + 2(11) D. (8 9) + (6 7) A graduate student conducted a study of field mice in rural Kansas. The student obtained a sample of 100 field mice and recorded the weight, in grams, of each mouse. The mean and standard deviation of the recorded weights are 35 grams and 2.4 grams, respectively. After the measurements were taken, it was discovered that the scale was not calibrated correctly. The student adjusted the 100 measurements by subtracting 3 grams from each measurement. What are the values of the mean and standard deviation of the corrected measurements