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 2 thousand shirts can be sold at a price of 80 dollars each, and that 5 thousand shirts can be sold at a price of 65 each

Answers

Answer 1

Answer:

We have two data points:

2000 shirts can be sold for $80 each.

5,000 shirts can be sold for $65 each.

Then we can define the relation:

P(n).

Where P is the price, and n is the number of shirts.

Now, we know that we can model this as a linear relationship that passes through the points (2000, $80) and (5000, $65)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case, the slope is:

a = ($65 - $80)/(5000 - 2000) = -$0.005.

Then our equation is:

P(n) = -$0.005*n + b

Now let's find the value of b, we know that:

P(2000) = $80 = -$0.005*2000 + b

                 $80 = -$10 + b

                  $80 + $10 = b = $90

Our equation is:

P(n) = -$0.005*n + $90.


Related Questions

solve the equation 3|3 - 5r|- 3 = 18

Answers

Answer:

r = 2

Step-by-step explanation:

3|3 - 5 * 2|- 3 = 18

3|3 - 10| - 3 = 18

3 * 7 - 3 = 18

21 - 3 = 18

18 = 18

(Since there are absolute value signs, the answer to |3 - 5r| will be positive)

Answer:

r=0.8

Step-by-step explanation:

3|3-5r|-3=18

9-15r -3=18

6-15r=18

15r=12

r=0.8

Arya deposit $8000 in a 5 year cd at 2% interest compounded daily. What is aryas new balance at the time of maturity

Answers

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

2%.8000=a⋅(5yearcd)= 5ea2yrcd2%=0.02

Answer:

100

Step-by-step explanation:

Fatima invests a total of $29,000 in two accounts. The first account earned a rate of return of 11%. However, the second account suffered a 7% loss in the same period. At the end of one year, the total of money gained was $1,570.00. How much was invested into each account?

Answers

Step-by-step explanation:

given data:

gained = $1,570

amount invested = $29,000

0.11x – 0.07( $29,000 – x ) = 1540

0.11x – ( 2030 – 0.07x ) = 1540

0.11x + 0.07 = 1540 +2030

0.18x = 3570

divide both sides by 0.18

x = 19833.33 ( amount invested at 11%.

$29,000 – 19833.33

= $9166.7 ( amount invested at 7%)

which one does not belong ?
1/20 _20/25 _2/3_ 5/4
And why is the answer correct?.​

Answers

Answer:

2/3 because they have something to do with five

Step-by-step explanation:

find an equation of the line through (4,6) and parallel to y=3x+7

Answers

Answer: y = 3x - 6

Step-by-step explanation: A line that is parallel to another line must have the same slope, so you already have y = 3x + b. To find b, use the point that they give. b is the y-intercept, so just subtract 3(x) from the y coordinate of the point, where x is the x-coordinate of the given point.

I NeEd HeLp
Solve the inequality.
4(x + 3) - 7 2 X+ 3(x + 1)
O x 5
Ox>3
O no solution
O all real numbers

Answers

Answer:

x 5. jjhwgehdhdjdhdhdhejrj

PLZ HELP its a test re rake i really need to get it right or im gonna fail

Answers

Answer:

D

Step-by-step explanation:

if it was written in scientific notation, it would be 5*10^1

There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation

HELPP!!


Mary earns $12 per hour, plus 10% commission on all her sales. Mary worked 10 hours and her sales were $1,500. How much money
did Mary earn?

Answers

First, you multiply 12 and 10 to get how much money she earned in 10 hours.  She earned 120 dollars in 10 hours.  Next, you multiply 10% and 1500.  You turn 10% into 0.10, and multiply by 1500 to get 150.  Finally you would add 150 and 120 to get $270.  Mary earned $270.

HELP!

I need the letter of it ill give the the brainiest

Answers

Answer:

It's B.

Hope this helped :)

The solution of the
equation 4p-2=10 is
(a)1
(b) 2
(c)3
(d)4​

Answers

Answer:

option c

steps.4p-2=10

4p=2+10

4p=12

p=3

Answer:

(c) 3

Step-by-step explanation:

4p - 2 =10

4p =10 +2

4p =12

P =12 :4

p=3

It’s number 6. I’ll give brainliest

Answers

answer: $12

explanation:

we know that 2 CDs and 6 DVDs cost $156 and 1 CD and 9 DVDs cost $210.
this gives us the equations:

2x + 6y = 156
and
1x + 9y = 210
where x is CDs and y is DVDs

multiply the top equation by 9 and the bottom by -6 to solve for x:

18x + 54y = 1404
-6x - 54y = -1260

add from top to bottom:

12x = 144

divide both sides by 12 to get:

x= $12

when jerry drives 100 miles on the highway his car uses 4 gallons of gasoline how much gasoline would his car use if he drive 275 miles on the highway

Answers

Answer:

11

Step-by-step explanation: Two one hundreds would be 8 gallons and 75 is 3/4 of one hundred making that 3 gallons

A ball is thrown directly upward from a height of 3 ft with an initial velocity of 20 ​ft/sec. The function ​s(t)=−16t2+20t+3 gives the height of the​ ball, in​ feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.

Answers

Answer:

[tex]t=\frac{5}{8}s[/tex] and [tex]s(\frac{5}{8})=\frac{37}{4}ft[/tex]

Step-by-step explanation:

There are different approaches you can take to solve this problem. You can look at it from the geometric approach or the calculus approach. I will us the geometric approach.

When we analyze the given function for the height of the ball:

[tex]s(t)=-16t^2+20t+3[/tex]

we can see that we are dealing with a quadratic function. This means that the graph will be an inverted parabola, just like the one in the attached picture.

so the idea is to find the vertex of the parabola to find the highest the ball gets to be and the time it gets to be at that height.

In order to do so, we can use the vertex formula, which looks like this:

[tex]t=-\frac{b}{2a}[/tex]

this is use when you have a function with the form:

[tex]f(x)=ax^2+bx+c[/tex]

in this case:

a=-16, b=20 and c=3, so the formula then turns to:

[tex]t=-\frac{20}{2(-16)}[/tex]

which yields:

[tex]t=\frac{5}{8} s[/tex]

which is our first answer. So we can then use this to find the maximum height of the ball, just by substituting t into the original function:

[tex]s(\frac{5}{8})=-16(\frac{5}{8})^2+20(\frac{5}{8})+3[/tex]

which yields:

[tex]s(\frac{5}{8})=\frac{37}{4} ft[/tex]

which is our second answer.

what’s 10/13 as a decimal rounded to the nearest tenth

Answers

Answer:

brainleist plzz

Step-by-step explanation:

Fraction Decimal Percentage

10/13 0.7692 76.92%

A fraction is a way to describe a part of a whole. The value of 10/13 as a decimal rounded to the nearest tenth is 0.8.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The given fraction can be written in decimal form by dividing 10 by 13, therefore, we can write the fraction as,

10/13

= 10 ÷ 13

= 0.76923

Since the number is needed to be rounded off to the nearest tenth, therefore, we need to look at the hundredth term, if that term is more than equal to 5, we will leave the tenth term as it is, while if the hundredth term is more than 5 we will round off the tenth term to the next term.

In this case, the hundredth position is taken by 6, therefore, the tenth term will become 8 from 7.

10/13

= 10 ÷ 13

= 0.76923 ≈ 0.8

Hence, the value of 10/13 as a decimal rounded to the nearest tenth is 0.8.

Learn more about Fraction here:

https://brainly.com/question/1301963

#SPJ2

plz help me i need it​

Answers

I can't see the choices real well, but I think it's b, 35%.

Answer:

B 35% is the answer

6thh grade is harddd yall

Answers

Answer:

56

Step-by-step explanation:

i recommend using mathaway, type in "4,8,14"

For 4 the lcm is 2 for 8 the lcm is 4 and for 14 it is seven if I am not wrong

There were 60 children at the birthday. If 1/4 of them were boys how many were
boys?

Answers

Answer:

15

Step-by-step explanation:

60 x 1/4 = 60/4 = 15

What’s the unit rate of 2 1/3 miles in 2 hours

Answers

Answer:

7/6 miles

Step-by-step explanation:

As, Distance for 1 hour = x

For 2 hours = 2 1/3

For 2 hours = 2(x)

So, 2(x)= 2 1/3

2(x)= 7/3

So, x = 7/3 ÷ 2

So x= 7/3 x 1/2

Therefore, x = 7/6

Final answer= 7/6 miles per hour

10. The ratio of the number of male employees to the number of female employees in Westlake high school is 6:5. There are 40 females in the school. How many total employees are in Westlake high school?

Answers

Answer:

45

Step-by-step explanation:

Male = 6          Male = ?

Female = 5      Female = 40

                                         ^

? = 6x5 because 5x5 = 40

Express 0.02as a percent

Answers

Answer:

2%

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

Just research it to save points. Have a nice day!

Can I have bainliest?

Can someone please help me

Answers

Answer:

I believe it's 180 I'm pretty sure

Answer:

180 degrees

Step-by-step explanation:

If you rotate it 180 degrees to the right or left it will look exactly the same.

Which input in this table is incorrect?

Answers

Answer:

I would say its D. 9.00

Step-by-step explanation:

Pls help ASAP I will give brainlyest
Nile had 20% less strikeouts this year than last year. He had 124 strikeouts last year. Which steps are needed to calculate the number of strikeouts Nile had this year? Check all that apply

(A) Convert 20% to a decimal.

(B) Multiply: 0.2 × 124 = 24.8

(C) Divide: 124 ÷ 20 = 6.2

(D) Subtract: 124 – 24.8 = 99.2

(E) Add: 124 + 24.8 = 148.8

(F) Subtract: 124 – 6.2 = 117.8

Answers

Answer:

(A) Convert 20% to a decimal.

(B) Multiply: 0.2 × 124 = 24.8

(D) Subtract: 124 – 24.8 = 99.2

Step-by-step explanation:

Given parameters:

 Number of strikeouts last year = 124

  Percent reduction  = 20%

Unknown:

Number of strikeouts this year =?

Solution:

To find the number of strikeout this year,

   Convert 20% to a decimal   = [tex]\frac{20}{100}[/tex]  = 0.2

Now; Multiply: 0.2 × 124  = 24.8

The number of strikeouts this year = 124 - 24.8  = 99.2

     

What is the slope of this equation?

What is the y intercept? Explain how you know.

y=−2x+7

Answers

Answer:

slope=-2

y intercept= 7

Step-by-step explanation:

Equation of a line:

y=mx+c

where

m=slope of the line, and

c=y intercept

Comparing y=-2x+7 with y=mx+c,

m=-2

y intercept=7

Hope it helps:)

Sam travel 20 miles in three hours. Sam walked part of the distance at a speed of 4 mph. Sam rode his bicycle for the remaining distance at a speed of 12 mph. How many hours did Sam spend walking? How many hours did Sam spend biking?

Answers

Answer:

Sam sokey 0.5 hours biking and 3.5 hours walking

Step-by-step explanation:

Here, we want to know the number of hours spent walking and biking

Mathematically; distance = speed * time

Let the number of hours spent walking be x and the number of hours spent biking be y

Mathematically;

x + y = 3 •••(i)

distance spent walking = 4 * x = 4x miles

distance spent biking = 12 * y = 12y miles

4x + 12y = 20

divide through by 2

2x + 6y = 10 ••••••(ii)

From i , x = 4-y

Substitute this into ii

2(4-y) + 6y = 10

8 - 2y + 6y = 10

8 + 4y = 10

4y = 10-8

4y = 2

y = 2/4 = 0.5 hours

The number of hours spent walking = 4-0.5 = 3.5 hours

f(x)= 3x^2-7 over
4x^2-3

-find f(2)

Answers

Answer:

5/13

Step-by-step explanation:

f(x) = [tex]\frac{3x^{2}-7 }{4x^{2}-3 }[/tex]

Substitute x for 2.

[tex]\frac{3(2)^2-7}{4(2)^2-3}[/tex]

Solve

[tex]\frac{3(4)-7}{4(4)-3}[/tex]

[tex]\frac{12-7}{16-3}[/tex]

f(2)= [tex]\frac{5}{13}[/tex]

The value of f(2) is 5/29.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x) = 3x² -7/ 4x² - 3

Now, find the value of the function at x= 2

So, f(2)= 3(2)² -7/ 4(2)² - 3

f(2) = 3 x 4 -7 / 4 x 8  - 3

f(2) = 5/29

Hence, the value of f(2) is 5/29.

Learn more about function here:

https://brainly.com/question/5245372

#SPJ2

(Help ASAP!!)

You play a game on your phone. For every correct move you make, you
receive 50 points. For every second that it takes you over 2 minutes to complete the
game, you lose 3 points. You complete the game in 2 minutes 10 seconds using
3 correct moves. What is your score?

Answers

Answer:

120 is the score

Step-by-step explanation:

3 correct moves X 50 points for a correct move = 150 points

-3 points for every seconds over the time X 10 seconds over 2 minutes = 30 points lose -30

150 - 30 = 120

8 different type of numbers?

Answers

Answer:

Disclaimer: You can disregard some if not wanted information.

1. decimal's

2. Exponent's

3. Variable's (still counts)

4. rational number's

5. Irrational Number's

6. Repeating Decimal's

7.Terminating decimal's

8.Integer's

One Honorable Mention:

Fraction's

Step-by-step explanation:

Answer:

rational numbers: 1/2, 5/8

irrational number: ie. pi, numbers under a root symbol

whole numbers: 0, 1, 2, 3...

real numbers: ie. 4, 1/2, -0.5

integers: ie. ...-3, -2, -1, 0, 1, 2, 3...

natural numbers: ie. 1, 2, 3, 4...

counting numbers

decimal numbers: ie. 0.2, 2.4

if bobby was born in 05 how old would he be

Answers

Answer:

the answer is 15

Step-by-step explanation:

a product of y2 + 5y + 4?

Answers

Answer:

(y + 4)(y + 1)

Step-by-step explanation:

Given

y² + 5y + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the y- term (+ 5)

The factors are + 4 and + 1 , since

4 × 1 = 4 and sum = 4 + 1 = 5 , thus

y² + 5y + 4 = (y + 4)(y + 1) ← as a product of factors

Other Questions
A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, after the path was built, its area became 4200 square yards? My last brain cells were used on picking whether or not to order chipotle or pizza. Which one? What was the purpose of adding the Bill of Rights to the US Constitution? 1An atom of element Q contains 19 electrons, 19 protons and 20 neutrons.What is Q?A calciumB potassiumstrontiumDyttrium In the past month, Kaitlin rented 3 video games and 6 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What isthe total amount that Kaitlin spent on video game and DVD rentals in the past month? express the answer to each of the following calculations in scientific notation with the correct number of significant figures: 45.0 x 270 What type of change is making water from H^2 and O^2 ?A. chemicalB. physical Despite its status as one of the richest countries in the world, Japan a. has a very low level of productivity. b. has few natural resources. c. has very little human capital. d. engages in a relatively small amount of international trade. Read the excerpt from Notes of a Native Son. He was not a young man when we were growing up and he had already suffered many kinds of ruin; in his outrageously demanding and protective way he loved his children, who were black like him and menaced, like him: and all these things sometimes showed in his face when he tried, never to my knowledge with any success, to establish contact with any of us. Which best explains why Baldwin chooses the word "menaced"? A)to illustrate the trickery the children perpetrateB) to emphasize the cruelty the children endureC)to suggest that the discrimination is imagined D)to prove that the children are frequently bothered How does the work needed to lift an object and the gravitational potential energy of the object compare? OThey are equal. OThe work is greater. OThe work is less. OThe comparison depend on the height. they are equal the work is greater the work is less the comparison depends on the height Which result fits in with the Progressive agenda for redistribution of wealth by taxing income above the norm?A) Social progressives believed the best way to further the income gap was to take money from wealthier people through taxation and use the money to provide social and welfare programs for the poor.B) Social progressives believed the best way to close the income gap was to take money from poorer people through taxation and use the money to provide social and welfare programs for the wealthy.C) Social progressives believed the best way to increase the income gap was to take money from poorer people through taxation and use the money to provide social and welfare programs for the wealthy.D) Social progressives believed the best way to close the income gap was to take money from wealthier people through taxation and use the money to provide social and welfare programs for the poor. If an astronaut weighs 750 N on the ground, what will he weigh in earth orbit 400 km above the earths surface? R_earth = 6.38 10^6 m, m_earth=5.9710^24 kgG=6.67410^11 Nm^2/kg^2 Which of the following elements has the lowest ionization energy?A. chlorine (CI)B. potassium (K)C. magnesium (Mg)D.neon (Ne) How was the Gag Rule used in the House of Representatives? Had been arrested type of tense 7s+5c=181.409s+1c=132.80 A store has 2 times as hooded sweatshirt as crewneck sweatshirts. The total number of sweatshirts is 36. How many hooded sweatshirts does the store have? 3. What foods were critical to survival for the American Indiansand the English colonists in Virginia? his stomach dropped what type of literary device is this? Consider the balanced equation below. Upper P Upper C l Subscript 3 Baseline + Upper C l Subscript 2 Baseline right arrow Upper P Upper C l Subscript 5. What is the mole ratio of PCl3 to PCl5? 1:1 2:1 3:5 5:3