URGENT Q: A bicycle company produces y bicycles at a cost represented by the polynomial y² + 10y + 100,000. The revenue for y bicycles is represented by 2y^2 + 10y + 500. Find a polynomial that represents the company's profit. If the company only has enough materials to make 300 bicycles, should it make the bicycles?

Answers

Answer 1

Answer:

The company should not make 300 bicycles.

Step-by-step explanation:

Mathematically speaking, profit ([tex]P(y)[/tex]) equals the difference between revenue ([tex]R(y)[/tex]) and cost ([tex]C(y)[/tex]). That is:

[tex]P(y) = R(y) - C(y)[/tex] (1)

If we know that [tex]R(y) = 2\cdot y^{2}+10\cdot y + 500[/tex] and [tex]C(y) = y^{2}+10\cdot y+100000[/tex], then the profit function is:

[tex]P(y) = 2\cdot y^{2}+10\cdot y +500 -y^{2}-10\cdot y -100000[/tex]

[tex]P(y) = y^{2}-99500[/tex] (2)

The company can make the required amount of bicycles if and only if [tex]P(y) > 0[/tex]. If [tex]y = 300[/tex], then the profit of company is:

[tex]P(300) = 300^{2}-99500[/tex]

[tex]P(300) = -9500[/tex]

The company should not make 300 bicycles.


Related Questions

Round 42,736,325 to the nearest million​

Answers

Answer:

i hope this helps  :)

Step-by-step explanation:

Grouped, 19546576 is 19,546,576. We underline through the millions place and mark the next digit. 19,546,576

Because the marked digit is 5, we increase 19 by 1 and replace all digits to the right with zeros: 20,000,000.

Thus 19,546,576 rounded to the nearest million is 20,000,000.

Answer:

43 million

43000000

Step-by-step explanation:

7 rounds up

In the figure, O is the centre of a circle passing through points
A, B, C and D and ADC = 120
Find the value of x.​

Answers

Answer:

30 degrees

Step-by-step explanation:

The computation of the value of x is given below:

Given that

ADC = 120 degrees

So ABC = 60 degrees

As the sum of the opposite angles are 180 degrees

And ACB = 90 degrees

Now in Triangle ADC

Angle ACB + Angle ABC + x = 180 degrees

90 + 60 + x = 180

x = 30 degrees

The cost of a tablet after a 20% discount can be represented by the expression t-0.2t. Simplify the expression

Answers

0.8t

Steps are on paper.

Step-by-step explanation:

simplified 0.16t I used a simplify calculator

A family borrows money for a rainforest tour. The simple annual interest rate is 12%. The loan is paid after 3 months. What is the total amount paid for the tour?

Answers

Answer:

1,266.90

Step-by-step explanation:

1. 940 + 170 + 120 = 1,230

2. 1,230 x 0.12 x 0.25 = 36.9

3. 36.9 + 1,230 = 1,266.90 (FINAL ANSWER)

What percent is represented by the region that is shaded? Exact
answers only (no rounding).

Answers

I jus sayin the park with the woods on the woods at the mall

Answer:

64 percent

Step-by-step explanation:

because there is 24 sq and 100 divided by 24 is 4, 4 times 16 is 64

solve for x 3x/2= 15

Answers

Answer:

the answer is x=10

:)

Step-by-step explanation:

Please help me with this question I really need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The angles of a triangle add up to 180°.

∠4 = 180°-35°-90° = 55°

A circular garden is being designed so that it has a diameter of 15 feet. Fencing needs to be
put up around the garden at a cost of $2.75 per foot of fencing. Fencing can only be bought
in whole feet lengths.
(a) How many feet of fencing should be bought? (b) How much will the fencing cost?

Answers

Answer:

15 feet and the cost is $41.25

Step-by-step explanation:

help me on this.


what can be used in step 3?​

Answers

Step-by-step explanation:

answer is been attached, hope u understand

Find the width of rectangle which has perimeter of 24 cm and length is 8 cm. *​

Answers

Answer:

Breadth is 4cm

Step-by-step explanation:

Perimeter = 24cm

Length= 8cm

let the breadth be x

Perimeter = 2(l+b)

24 = 2(8+x)

24 = 16+2x

24-16 = 2x

8 = 2x

8÷2 = x

4 = x

Therefore, breadth is 4cm

PLS MARK ME AS BRAINLIEST★

Out of 4/10, 3/4, 2/5, and 1/3 which fraction is the biggest?

Answers

Answer:

3/4

Step-by-step explanation:

3/4 = .75

4/10 = .40

2/5 = .40

1/3 = .33

Answer:

3/4 is greater then 4/10 and 2/5 is greater then 1/3 and that's all I know

Step-by-step explanation:

Please help thank you if you do

Answers

4/5 z = 2/7

7×4×z = 2× 5 (move the denominator of both fractions to the other side)

28z = 10

z = 10 ÷ 28

z = 5/14

Answer: The answer your looking for is 5/14

Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.

5,3,1,-1, common difference or common ratio

Answers

Answer:

Common

Step-by-step explanation:

evaluate 3 + jk + k3 when j = 2 and k = 6.​

Answers

Answer:

231

Step-by-step explanation:

After two six sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?

Answers

6 = 36 because each die has 1 to 6 number on its faces.

Answer:

.222

Step-by-step explanation:

To investigate whether there is a difference in opinion on a certain proposal between two voting districts, A and B, two independent random samples were taken. From district A, 35 of the 50 voters selected were in favor of the proposal, and from district B, 36 of the 60 voters selected were in favor of the proposal. Which of the following is the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts (district A minus district B)? A. 35-36 A 50 B. 35-36 0.7 0.6 V 50 0 + 60 C. 0.7-0.6 (0..) (.x) (+) 0.7-0.6 D. V(0.7)(0.6) (Hot 50+60 0.7 -0.6 E. (0.7) (0.6) VE 60

Answers

Answer:

C:      t= x1`-x2`/√p^q^(1/n1 +1/n2)

0.7−0.6/(0.65)(0.35)√(1/50+1/60)

Step-by-step explanation:

The options given are

A

35−36/ 35/√50+3660

B

35−36/0.7/√50+0.660

C

0.7−0.6/(0.65)(0.35)√(1/50+1/60)

D

0.7−0.6/(0.7)(0.6)/√(1/50+1/60)

E

0.7−0.6/(0.7)(0.6)/√150+160

↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔

This is a test hypothesis about difference of  means between two proportions.

The test statistic used is

t= x1`-x2`/√p^q^(1/n1 +1/n2)

x1`= 35/50= 0.7

x2`= 36/60= 0.6

so

x1`-x2`

= 35/50-36/60

= 0.7-0.6

p^= 35+36/50+60= 71/110= 0.645= 0.65

q^= 1-p^= 1-0.65= 0.35

p^q^= (0.65) (0.35)

n1= 50 and n2= 60

therefore √1/n1 +1/n2= √1/50+1/60

Now Putting the values in the test statistics we get

t= x1`-x2`/√p^q^(1/n1 +1/n2)

0.7−0.6/√(0.65)(0.35)(1/50+1/60)

Hence C is the correct option

Using the z-distribution, it is found that the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts is given by:

[tex]z = \frac{0.1 - 0}{0.0906}[/tex]

What are the hypothesis tested?

At the null hypothesis, it is tested if there is no difference between the proportions, that is, the subtraction is zero, hence:

[tex]H_0: p_A - p_B = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference between the proportions, that is, the subtraction is not zero, hence:

[tex]H_1: p_A - p_B \neq 0[/tex]

What is the mean and the standard error for the distribution of the difference of proportions?

First, we find the mean and the standard error for each proportion:

[tex]p_A = \frac{35}{50} = 0.7[/tex]

[tex]s_A = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]

[tex]p_B = \frac{36}{60} = 0.6[/tex]

[tex]s_B = \sqrt{\frac{0.6(0.4)}{60}} = 0.0633[/tex]

Then, for the difference:

[tex]\overline{p} = p_A - p_B = 0.7 - 0.6 = 0.1[/tex]

[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0648^2 + 0.0633^2} = 0.0906[/tex]

What is the test statistic?

It is given by:

[tex]z = \frac{\overline{p} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{0.1 - 0}{0.0906}[/tex]

To learn more about the z-distribution, you can take a look at https://brainly.com/question/16313918

Please help!! I will give you brain list

Answers

It would take you 16.84 or 17 weeks because 85,489÷10,153 equals 8.42 and if you multiply 8.42 by 2 you would get 16.84

Answer:

It will take you at least 17 full weeks to make twice what you spend on the arcade.

Step-by-step explanation:

The inequality will look like this: 10,153x ≥ 170,978

After 17 weeks, you'll have made $172,601, one week less you'll only make $162,448, so it will take you at least 17 full weeks to make twice what you spent on the arcade.

what are the x intercepts of y=x^2-x-12

Answers

x intercept: (4,0) , (-3,0)
y intercept: (0,-12)

Hope this helps!

Answer:

The person at the top is right. Give them brainliest

If f(7) = 22, then
f^-1(22) = [?]

Answers

Answer:

it equals 7

Step-by-step explanation:

its just a rule, there is no step by step solution. if f(x)= y, then f^-1(y) = x

The given number line shows the solutions to which inequality?

Answers are
A x+7=<5
Bx+3=>1
Cx-5>2
Dx-1<=
I dont think the answer is b or c

Answers

Answer:

the answer is c we just did this in class

What is -5 + 7
I need too know this because I am in 7th grade for the 5th time and this is the unit that always made me fail. PLEASE HELP!!!

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Ok so what you wanna do is subtract 5 from 7 which is 2, the answer is 2

Which expression represents the algebraic phrase “eleven less than seven times a number”?
11x - 7
7x-11
11 + 7x
11-7x

Answers

11-7x because eleven less than is 11- and seven times a number is 7x

Hey guys I need help with this question. Solve the system by substitution: x=-1 and 4x+2y=16

Answers

4(-1) + 2y = 16
-4 + 2y = 16
2y = 20
y = 10

I think this is how u do it..
4x + 2y = 16
4(-1) + 2y = 16
-4 + 2y = 16
+4 +4
2y = 20
/2 /2
y = 10

C. Find the value of x below:
15.r + 5
-2 + 16.

Answers

Answer:

7

Step-by-step explanation:

(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.

Measures of corresponding angles are equal.

Therefore,

- 2 + 16x = 15x + 5

16x - 15x = 5 + 2

x = 7

One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?

Answers

Answer:

7 sides

Step-by-step explanation:

120 + 130x = 180 * (x+1-2)

120 + 130x = 180x - 180

300 = 50x

x = 6

You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.

Answer:

7

Step-by-step explanation:

El numero tal que su 35% es 7

Answers

no entendo ???????? isto

There once was a fantastic football player named Leyton Channing. People often criticized him for not being
tough. They said when he played in harsh conditions like snow or frigid temperatures, he couldn't win.
After analyzing data, however, statisticians determined that there was no association between Leyton winning
and Leyton playing in harsh conditions. The frequency table below shows data for the games that Leyton played.
Fill in the missing values from the frequency table.

Answers

Answer:

Find the missing values by using the formula:

= Row total * Column total/Grand total

                                                Win                         Loss                      Row total

Normal Conditions                 154                         66                          220

Harsh Conditions                    14                             6                            20

Column Total                          168                            72                         240

Win - Normal conditions:                                       Loss - Normal conditions

= 220 * 168/240                                                      = 220 * 72/240

= 154                                                                        = 66

Win  - Harsh conditions                                          Loss - Harsh conditions

= 20 * 168 / 240                                                       = 20 * 72/240

= 14                                                                           = 6

HELP PLEEEASE DUE TODAY ALL MY POINTS

if ΔABC and ΔXYZ are similar which must be true

Answers

C.

You must match the letters.

Answer:

C)

Step-by-step explanation:

Hope that helps!

PLEASE ANSWER QUICKLY I NEED AN ANSWER PLEASE ;0;

Answers

Answer:

infinitely many solution......

find the formula for the nth term in the given sequence 12,36,108,324,972​

Answers

Answer:

[tex]\huge\boxed{a_n=12\cdot3^{n-1}=4\cdot3^n}[/tex]

Step-by-step explanation:

[tex]a_1=12\\\\a_2=36=3\cdot12=3a_1\\\\a_3=108=3\cdot36=3a_2=3\cdot3a_1=3^2a_1\\\\a_4=324=3\cdot108=3a_3=3\cdot3^2a_1=3^3a_1\\\\a_5=972=3\cdot342=3a_4=3\cdot3^3a_1=3^4a_1\\\vdots\\a_n=3^{n-1}a_1=3^{n-1}\cdot12\\\\3^{n-1}\cdot12=3^{n-1}\cdot3\cdot4=3^{n-1+1}\cdot4=4\cdot3^n[/tex]

[tex]\text{Used}\\\\a^n\cdot a^m=a^{n+m}[/tex]

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