sidney writes two equations: I = 350n and E = 150n + 1000. The equations relate income I and operating expenses E to number of customers. Sidney writes the equation P = 350n − (150n + 1000) to show how tour profit P depends on the number of customers n. Use the rule to find profits P for 8, 12, 20, and 30 customers.

Answers

Answer 1

9514 1404 393

Answer:

  600, 1400, 3000, and 5000

Step-by-step explanation:

The profit equation can be simplified.

  P = 350n -(150n +1000)

  P = 200n -1000 . . . . . . . . . collect terms

  P = 200(n -5) . . . . . . . . . . . factor out 200

For the given numbers n, we have ...

  P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}

Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.


Related Questions

Which equation shows a y- intercept of -5

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

Option B) [tex]y=x-5[/tex]

»»————- ★ ————-««  

Here’s why:  

Most options (Second, Third, and Fourth) are in slope intercept form.

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form}}\\\\y=mx + b\\\\\boxed{\text{Key:}}\\\\m - \text{The Slope}\\\\b- \text{The Y-Intercept}[/tex]

⸻⸻⸻⸻

We are looking for the equation where '-5' is in b's place.

⸻⸻⸻⸻

[tex]\boxed{\text{Which equation shows a y-intercept of -5?}}\\\\---------\\\text{A}) -5y = x\\\\\text{This equation in slope-intercept form is }y=\frac{1}{5}x.\\\\\text{The 'b' part is not shown. This means that the line passes through the}\\\text{origin.}\\\\---------\\\\\text{B})\text{ }y = x-5\\\\\text{This option shows a slope of one and a y-intercept of -5.} \\\\\text{Therefore, \boxed{\text{option B is the correct answer.}}}\\\\----------\\\text{Option C has a y-intercept of 5, and Option D has a}\\[/tex]

[tex]\text{y-intercept of 1.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

320% of 69 is what number?

Answers

Answer:

220.8

Step-by-step explanation:

I believe 220.8

sorry if I am wrong.

Answer:

320×69÷100

answer * number is 220

An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287, and 225. What are the mean and the variance respectively of this sample rounded to nearest whole number

Answers

Answer:

The mean of this sample is 203.

The variance of this sample is 3154.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

In this case:

[tex]M = \frac{192 + 113 + 200 + 287 + 225}{5} = 203.4[/tex]

Rounding to the nearest whole number, 203.

Variance:

Sum of the difference squared between each value and the mean, divided by the number of values. So

[tex]V = \frac{(192-203.4)^2 + (113-203.4)^2 + (200-203.4)^2 + (287-203.4)^2 + (225-203.4)^2}{5} = 3153.8[/tex]

Rounding to the nearest whole number, 3154.

The mean of this sample is 203.  The variance is 3154.

The variance of this sample is 3154.

Mean is given by,

[tex]M=\frac{192+113+200+287+225}{5}[/tex]

M=203.4

Sum of all values divided by the number of values.

In this case:

[tex]M=\frac{192+113+200+287+225}{5}\\M=203.4[/tex]

Rounding to the nearest whole number, 203.

What is the variance?

Some of the differences squared between each value and the mean are divided by the number of values. So

[tex]V=\frac{(102-203.4)^2+(113-203.4)^2+.......+(225-203.4)^2}{5}\\V=3153.8[/tex]

Rounding to the nearest whole number, 3154.

To learn more about the variance visit:

https://brainly.com/question/25639778

#SPJ5

please no link! need question answered as soon as possible

Answers

[tex]\huge\bold{Given :}[/tex]

Angle 1 = 40°

Angle 2 = x°

Angle 3 = ( x + 28 )°

[tex]\huge\bold{To\:find :}[/tex]

The value of x.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]{\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}[/tex]✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 40 + x° + x° + 28° = 180°

➪ 2x° + 68° = 180°

➪ 2x° = 180° - 68°

➪ x° = [tex] \frac{112° }{2} [/tex]

➪ x° = 56°

[tex]\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 40° + 56° + 56° + 28° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

if y+1/y=5 then show that (y^3+1/y^3)=110

Answers

See the picture below

convert 495.05 to fraction

Answers

Answer:

495             1/20

Step-by-step explanation:

Answer:

  [tex]495.05 = \frac{49505}{100} = \frac{9901}{20}[/tex]

The temperature at 12 p.m. wa
34. The temperature at 12 a m
was-16. What was the difference
in the temperatures?

An elevator was at the 4floor
It traveled up 18 floors, down 7
floors, up 6 floors and down 2
floors. What floor did the elevator
end up on?

submarine was traveling at 62
feet below sea level. It rose 17
feet, dropped 250 feet, then rose 25
feet. What was the submarines
Final position?

Answers

Answer:

first is 52°C

Step-by-step explanation:

Which expression is positive

Answers

Answer:

I would say none of the above

Step-by-step explanation:

When you evaluate A & B they both give you negatives So C

Good luck on Khan academy ;)

Answer:

the answer should be C

Step-by-step explanation:

the first two questions both come out to negative numbers so the only option would be the third.

An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year

Answers

Answer:

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $8,500

Future value (FV)= $17,323

Interest rate (i)= 4.5%

To calculate the time required for the investment to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(17,323/8,500) / ln(1.045)

n= 16.17 years

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Katherine is 17 years younger than Joe. If Joe is 44 years old, how old is Katherine?


_____years old

Answers

Answer:

Katherine is 27 years old.

Step-by-step explanation:

44-17=27.

Answer:

27

Step-by-step explanation:

44 age of Joe

-17 years younger

______________

27 years of age

Annabelle works in a deli and has been tracking the daily sales of different items over several months. Anabelle found that when there was an increase in the number of cups of hot chocolate sold, the number of cups of coffee sold also increased similarly, when there was a decrease in the number of cups of hot chocolate sold, the number of cups of coffee also decreased

Answers

Answer:

When hot chocolate sales increase, so do coffee sales, but the sale of one does not increase the other. There were just more customers that day.  

Step-by-step explanation:

What is the slope of the line that passes through the points (-2, 3) (−2,3) and (-14, -5) ?(−14,−5)? Write your answer in simplest form.

Answers

Answer:

2/3

Step-by-step explanation:

the steps are in the pic above

Tina wrote 2 equivalent expressions that could be used to calculate the number of books on her shelves. Which pair of expressions is equivalent?
4+(9+8) and 4−(9−8)

3(9+8) and 9(3+8)

(4×9)×8 and 9×(4×8)

(5+4)+1 and 5(4+1)

Answers

Answer:b

Step-by-step explanation:

Not D

Answer:

(4×9)×8 and 9×(4×8)

Step-by-step explanation:

Natalie bought 4 large drinks and 4 large bags of popcorn. Each bag of popcorn cost $4.00 each and she spent $26. How much was each large drink?

WRITE AN EQUATION

HELP ASAP WILL MARK BRAINLEST

Answers

Answer:The drinks are $2.50 each

Step-by-step explanation:$4.00 x 4 = $16.00 then do $26 - $16 = 10 and 10 divided by 4 = 2.5

Emiko makes shibori scarves and sells them for 48 each on a website for hand made goods the expression 48s represents the total price of buying s scarves.

Answers

Answer:

Step-by-step explanation:

true

1. number of scarves

2. price per scarf

Step-by-step explanation:

BEST ANSWER GETS BRAINLIEST!!!
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?

5x + 2y = 2
3x − 3y = 18

The slopes are the same, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are different, and the y-intercepts are different.

Answers

Answer:

option 4

Step-by-step explanation:

[tex]5x + 2y = 2\\2y = -5x + 2\\y = -\frac{5}{2}x + 1\\\\Slope = -\frac{5}{2}, \ y - intercept = 1[/tex]

[tex]3x - 3y = 18\\3y = 3x - 18\\y = x - 6\\\\Slope = 1, \ y - intercept = -6[/tex]

Question 1

12.5 pts

1. A triangular prism is shown below. What is the volume of the triangular prism in

cubic inches?

15cm

112cm

9cm

12cm

ОА.

1,296 cm

OB.

180 cm

O C.

1,620 cm3

OD.

648 cm3

Question 2

willgive brainlest

Answers

Answer:

The volume of the triangular prism = 648 cm³

Step-by-step explanation:

Check the image uploaded for the diagram of the prism.

Given;

hypothenuse side of the triangle, = 15 cm

base of the triangle, b = 12 cm

height of the triangle, h = 9 cm

height of the prism, I = 12 cm

The volume of the triangular prism = Area of the base triangle x  height of the prism

The volume of the triangular prism = ¹/₂ x b x h x I

The volume of the triangular prism = ¹/₂ x 12 x 9 x 12

The volume of the triangular prism = 648 cm³

please help need asap

Answers

Answer:

[tex] \displaystyle AC = 2.18[/tex]

Step-by-step explanation:

we are given a right angle triangle where:

BC=6AC=?θ=70°

since BC is the opposite side and AC is is the adjacent side of the triangle therefore we can consider using tan function given by

[tex] \displaystyle \tan( \theta) = \frac{opp}{adj} [/tex]

substitute:

[tex] \displaystyle \tan( {70}^{ \circ} ) = \frac{6}{AC} [/tex]

cross multiplication:

[tex] \displaystyle AC \tan( {70}^{ \circ} ) = 6[/tex]

b

divide both sides by tan(70°):

[tex] \displaystyle AC = \frac{6}{ \tan( {70}^{ \circ} ) }[/tex]

by using calculator we obtain:

[tex] \displaystyle AC = 2.18[/tex]

and we are done!

When testing joint hypothesis, you can use: Group of answer choices the F- statistic. the chi-squared statistic. either the F-statistic or the chi-square statistic. none of the above. g

Answers

Answer:

F Statistics

Step-by-step explanation:

In a joint hypothesis, the researcher is interested to determine the significance of each independent variable individually as well joint impact of all independent variable on the dependent variable. Hence, F statistics would be used as researcher would be interested to know about the the significance of all the independent variable jointly

An owner wants to discount his pizza from $15 to $14.25, how much percent does he need to discount?

Answers

Answer:

5%

Step-by-step explanation:

Amount of money that is discounted

= $15 - $14.25

$0.75

Percentage that needed to be discount

=(0.75/15) * 100%

= 5%

Thus, owner needs to discount 5% to discount his pizza from $15 to $14.25.

Find the value of x to the nearest tenth. Please help fast

Answers

Answer:

14.72

Step-by-step explanation:

Answer:

14.7

Step-by-step explanation:

we can use the law of sines to find x.

sin46°/x=sin20°/7

x sin20° = 7(sin46°)

x=7(sin46°)/sin20°

x≈14.72246211

rounded to the nearest tenth:

x≈14.7

Soo I need you guys help

Answers

Ummmmmm ok hold on let me see

Answer:

Josh made 40 free throws.

Step-by-step explanation:

5/7=0.71428571428

0.71428571428*56 = 39.99

so Josh made 40 free throws.

Have a nice day! :-)

A line passes through the point (8,6) and has a slope of - 3. Write the equation of the line in point-slope form,
4

Answers

y=mx+b
substitute the x- and y-values into the equation
(8,6)
8 is x-value and 6 is y-value

6=m(8)+b
slipe is given, it's -3 so substitute that into the equation as well

6=3(8)+b
6=24+b
substract 24 from both sides
-18=b

equation: y=3x-18

The table shows the balance of a money market account over time. Write a function that represents the balance y (in dollars) after t years.

Answers

9514 1404 393

Answer:

  y = 2200(1.08^t)

Step-by-step explanation:

The interest earned the first year is ...

  (2376 -2200)/2200 = 0.08 = 8%

The balances the remaining years are consistent with that interest being compounded annually. An appropriate function is ...

  y = 2200(1.08^t)

_____

The compound interest formula is ...

  A = P(1 +r/n)^(nt) . . . . principal P earning rate r compounded n times per year for t years

One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?

Answers

Answer:

2 is the probability

Step-by-step explanation:


work out the area of this circle
Take pi to be 3. 142 and give
your answer
to be 2
decimal places..
11, 2cm

Answers

Answer:

11.2 cm i think so ya yo write 11.2cm

The triangular prism has a square base face of 8 cm. The perpendicular height from
the square base face is 15 cm. The surface area in square centimetres is
15 cm
8 cm
B.
248
264
A
384
C 324​

Answers

C is your answer because I did the answer when I went to the store to pick up my dog

Last year, a French restaurant used 792,800 ounces of cream. This year, due to a menu
update, the restaurant used 673,880 ounces of cream. By what percentage did the
restaurant's annual cream usage decrease?

Answers

The correct answer is a 15% decrease. Explanation (792,800 - 673,880) / 792,800

Verne has 5 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more orders can Verne line up his books than Jenny

Answers

Answer: 96

Step-by-step explanation:

Given

Verne has 5 math books to line up on a shelf

Jenny has 4 english books to line up on a shelf

No of ways Verne can arrange the books are [tex]5![/tex]

No of ways Jenny can arrange the books are [tex]4![/tex]

Difference between them

[tex]=5!-4!\\=120-24\\=96[/tex]

Thus, Verne can line up 96 more orders than Jenny

Victoria took a test and got 80% of the questions right. She answered 20 questions correctly. How many questions were on the test?

Answers

Answer:

25 questions :D

Step-by-step explanation:

Other Questions
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