What is the selling price per widget as a function of the
number of widgets produced, and what should the
selling price be if 15 widgets are produced?

Answers

Answer 1

Answer:

1240 widgets

Step-by-step explanation:

The value of the function at 870, the local maximum, is

= -0.02(870)2 + 34.80(870) - 4700

= -0.02(756900) + 30276 - 4700

=  -15138 + 25576

= 10438

 

So the vertex is (870, 10438)

 

The cost t the company to produce 870 widgets is  

C(870) = 4700 + 5.20(870) = 4700 + 4524 = 9224

 

So, the cost of the widgets plus the profit must be equal to the total sales, which is divided by the number of widgets reveal their individual price.

(10438 + 9224)/870 = 19662/870 = $22.60

 

P(x) = 7700

- 0.02x2 + 34.80x - 4700 = 7700

-0.02x2 + 34.80x -12400 = 0

 

x = {-34.80 ± √[(34.80)2 - 4(-0.02)(-12400)]}/2(-0.02)

x = [-34.80 ± √(1211.04 - 992)]/(-0.04)

x = (-34.80 ± √219.04)/(-0.04)

x = (-34.80 ± 14.8)/(-0.04)

x = 870 ± 370

so, $7700 in profits will be earned at either 500 widgets or 1240 widgets


Related Questions

help please.............​

Answers

Answer:

C

Step-by-step explanation:

CHOOSE C

what is the inverses operation needed to solve for P?
800=p-275
A subtraction
B addition
C multiplication
D division ill mark brainlist

Answers

Addition is needed because of the subtraction sign.

Sam just purchased a new car. After his employee discount and the sale that the dealership applied to the original
price, Sam paid $13,734.60. If Sam's employee discount was applied to the original price after the dealer discount,
then determine the original price of the vehicle given that the employee discount was 8% and the dealership
discount was 25%. Round your answer to the nearest cent.
a $20,375.21
c. $19,250.13
b. $18,350.33
d. $19,905.22

Answers

Answer:

D 19,905

Step-by-step explanation:

19,905.22×25%=4976.31

19905.22-4976.31=14,928.91

14928.91×8%=1194.31

14928.91-1194.31=13734.6

Which expression is represented on the number line?

Answers

Answer:

b

Step-by-step explanation:

The area of a rectangle is 45.5 square inches. The base of the rectangle is 7 inches. What is the height of the rectangle in inches?

Answers

Answer:

B: 6.5 inches

Step-by-step explanation:

Given,  

Area of the rectangle = 45.5 sq. inches  

The Base of the rectangle = 7 inches  

 

45.5 = l * 7  

l = 45.5/7

l = 6.5 inches

Answer:

silly billy your a tree with branches and leaves hogwarts has an olw that deleivers letters

Step-by-step explanation:

What is the value, to the nearest tenth, of 15 x 3 - 12 x 2 when x = 2.5​

Answers

Answer:

159.4

Step-by-step explanation:

I'm assuming that it's supposed to be 15x^3-12x^2 because when you copy and paste the "^" gets cut out

15*2.5^3 - 12*2.5^2 = 234.375 - 75 = 159.375

rounded is 159.4

HELPPP WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

15 by 2

Step-by-step explanation:

15 cubes in each layer with 2 layers

Answer:

Cubes in each layer: 15

Number of layers: 2

Volume : 30 cm^3

Step-by-step explanation:

Complete the Square of the quadratic equation in standard form: ax2 + bx + c Treat this like a literal equation where you are solving for x by completing the square. To get started, write the equation in the form: x2 + bx = ?

Answers

Answer:

x = [-b ±√(b² - 4ac)]/2a

Step-by-step explanation:

ax² + bx + c = 0

dividing through by a, we have

ax²/a + bx/a + c/a = 0

x² + bx/a + c/a = 0

x² + bx/a = -c/a

we now add th square of half the coefficient of x to both sides, thus

x² + bx/a + (b/2a)² = -c/a +  (b/2a)²

simplifying the left hand side and right hand side, we have

(x + b/2a)² = -c/a + b²/4a²

re-arranging, we have

(x + b/2a)² = b²/4a² - c/a

taking L.C.M of the right hand side, we have

(x + b/2a)² = (b² - 4ac)/4a²

taking square-root of both sides, we have

√(x + b/2a)² = ±√[(b² - 4ac)/4a²]

x + b/2a = ±√(b² - 4ac)/2a

So, x = -b/2a ±√(b² - 4ac)/2a

taking the L.C.M of the right hand side, we have

x = [-b ±√(b² - 4ac)]/2a

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
What is m∠U?
A. 17
B. 29
C. 46
D. 134

Answers

Answer: 17°

Explanation: First find angle TVU. Line TV is straight line so 180°. Subtract 180 from 46 to find angle TVU. Angle TVU = 134.

All angles of a triangle adds up to 180. Find angle U by subtracting 180 by angle TVU and angle T. 180 - 29 - 134 = 17

Answer:

D.46

Step-by-step explanation:

180-46-29= 105

angle V, 46 degree, and T= equal 180

105= V

t= 29

v+t+u= must equal 180 because all triangle equal 180 degrees

105+29+u=180

u=-105-29+180

u=46

Which equation correctly compares the tens place and ones place in 9,999?
A.
90 ÷ 9 = 10
B.
900 ÷ 9 = 100
C.
9,000 ÷ 90 = 100
D.
900 ÷ 90 = 10

Answers

Answer:

I'm pretty sure the answer is A.

Step-by-step explanation:

Since 90 plus 9 = 99 and 99 is the tens and ones place.

So, the answer should be A.

Hope this helps! :)

90 / 9 = 10 compares the tens place and one's place in 9,999. Option A is correct.

Given that,
To determine the equation correctly compare the tens place and one's place in 9,999.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
In the number 9999,
let the number on the ten places be x times the number on unit place,
90 = x * 9
x = 90 / 9
x = 10

Now,
90 / 9 = 10

Thus, 90 / 9 = 10 compares the tens place and one's place in 9,999. Option A is correct.

Learn more about the number system here:

https://brainly.com/question/22046046

#SPJ2

HELP !!

In a sequence of numbers, a4=9, a5=15, a6=21, a7=27, and a8=33.

Which recursive rule can be used to find the nth term of the sequence, an?


a1=−9; an=an−1+6

a1=−9; an=6an−1

a1=9; an=an−1+6

a1=9; an=6an−1

Answers

Answer:

Given sequence:

a₄=9, a₅=15, a₆=21, a₇=27, and a₈=33

Common difference is:

33-27 = 27 - 21 = 21 - 15 = 15 - 9 = 6

Find the first term:

a₃ = 9 - 6 = 3a₂ = 3 - 6 = - 3a₁ = -3 - 6 = -9

Recursive formula:

a₁ = -9 and aₙ = aₙ₋₁ + 6

Correct choice is A

Help please please pray that you pray

Answers

Answer:

well religion does not work here sorry

Step-by-step explanation:not everyone prays im sorry

Answer:

im confused

Step-by-step explanation:

dont delete this

Jamie was surveying students about their use of the new science lab in a school. Which question in the survey is a statistical question?

Answers

Complete Question is:

Jamie was surveying students about their use of the new computer lab in a school. Which question in the survey is a STATISTICAL QUESTION?

A.) How qualified is the trainer at the computer lab?

B.) Where is the computer lab located in the school?

C.) What is the number of learning stations at the computer lab?

D.) How many class projects did you complete using the computer lab?

Answer:

D.) How many class projects did you complete using the computer lab?

The answer is D because the question is directly related to the use of their new computer lab and the number of projects the students have completed in the computer lab. This is directly related to the survey since it is carried out for the students using computer lab.

Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.

12x + 15y = 34
-6x + 5y = 3

Answers

Answer:

x=5/6 and y=8/5

(5/6 , 8/5)

Step-by-step explanation:

You can use the elimination method! The point of this method is to add or subtract one equation from the other, multiplying them by constants if necessary, to cancel out one variable so you can solve for the other. Then, you can plug the value you got for your solution into either equation to solve for the other. I'll demonstrate.

Look at the two equations and the coefficients of both variables. You have 12x and -6x -- 6*2=12, so this is perfect. (You could also eliminate the y because 5*3=15, but I'll show you by eliminating the x instead.)

Here's what that looks like:

(-6x+1y=3)2

-12x+10y=6

So we just multiplied the second equation by 2 on both sides. Let's see how that helps us.

12x+15y=34

-12x+10y=6

If we add the two equations now, x will be canceled out and we can solve for y.

   12x+15y=34

+(-12x+10y=6)

___________

     0x+25y=40

           25y=40

0x=0, so we can get rid of the x. Now, we need to solve for y.

25y=40

y=40/25

You probably know how to simplify fractions, so divide both the numerator and the denominator by 5 to get y=8/5.

Now you can use this value in either equation and solve for x. I'll use the first. (This is called substitution.)

12x+15(8/5)=34

12x+3(8)=34 <-- What I did here is cancel out the 5 in the denominator with 15 to leave 3, because 5*3=15.

12x+24=34

12x=10

x=10/12

x=5/6 (Divide the numerator and denominator by 2.)

You can write your answer as a point, too. (5/6 , 8/5)

If I work for $7.25 an hour and work for 35 day how much money do I make

Answers

Answer:

1776.25

Step-by-step explanation:

35x7=245. 245x7.25=1776.25

Answer:

35 x 24 = 840, 840 hours

840 x 7.25 = $6090 for 35 days

Step-by-step explanation:

Help please
Mark True or False in the table on your answer document to indicate whether
each comparison is true

Answers

Answer:

1. false

2. false

3. true

Step-by-step explanation:

f(x)=x^2. what is g(x)

a. g(x)=4x^2
b. g(x)=1/4x^2
c. g(x)=(4x)^2
d. g(x)=16x^2​

Answers

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

i

Step-by-step explanation:

Tony will spend at most $27 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tony will spend.
Write your answer as an inequality solved for c.

Answers

Answer:

Inequaltiy: 27 ≤ 14+c

Final answer: 13 ≤ c

Step-by-step explanation:

Well tony spent at most 27 dollars.

He spent 14 already and he can‘t get past 27 dollars but he can spend exactly 27 or even less.

So 27 ≤ 14+c

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

There is really only one solution which is the third choice. When you are dealing with the equation in the form of y = mx + b, the b stands for the y-intercept. So, your y-intercept equals -1. When you are finding the x-intercept you can just substitute y for 0(the definition of x-intercept is where the graph crosses the x-axis, meaning y needs to be equal to 0) and you get that x equals 1/5.

5. What might be the dimensions of a
cylindrical container that holds 750 mL
of juice?

Answers

Answer:

radius of 10.9254843 and height of 10.9254843

Step-by-step explanation:

The equation for the volume of a cylinder is V = 2 pi r h

If V (volume) = 750, find for r and h

(I'm just going to make the radius and height the same thing)

750 = 2 pi r r

375 = pi r^2

119.366207 = r^2

10.9254843 = r

r17 is greater than or equal to 545.7

Answers

Answer:

r17 is that a mistake or actually the number?

Please help I do not know the answer

Answers

Answer:

answer is y = 3/4x - 5

Step-by-step explanation:

picture below.

The 3/4 comes from the line. You would use rise over run to find the slope, which in this case is 3/4. and the -5 is basically the y-intercept

The probability of not spinning a 5 and flipping heads and the spinner has 5 outcomes

Answers

Answer:

So the odds of flipping a coin 5 times and getting 5 heads are 1/2 ^5 (half to the power of 5). Which gives us 1/32 or just over a 3% chance.

Step-by-step explanation:

please help :c
Angela bought a total of 3 dozen cookies for Easter. Each cookie was 0.65 (INCLUDING TAX!) Of the cookies, 3/4 of them were shaped like Easter eggs. What was the cost of the Easter egg shaped cookies?

please add the work along with the question

Answers

Answer: $17.55

Step-by-step explanation:

36 x 0.65 = $23.40 total for all cookies

($23.40/1) x (3/4) = (70.2/4)

70.2 divided by 4 = $17.55

or

$23.40 x .75 = $17.55

Slove the system of linear equations by graphing y=-x+7 y=x-1

Answers

x = 4, y = 3


add the two linear equations together: 2y = 6

now that we know y = 3, solve for x by substituting it in

I need help figuring out this question

Answers

Answer:

no picture

Step-by-step explanation:

Maths equation need help please

Answers

Answer:

I FIGURED IT OUT!

Step-by-step explanation:

a = 3

b = 3

c = 5

d = 2

give me brainliest

If you invest $1,200 into an account with an interest rate of 8%, compounded monthly, about how long would it take for the account to be worth $12,000?

Answers

Answer:

n= 346.37 months

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,200

Number of periods (n)= ?

Interest rate (i)= 0.08 / 12= 0.00667

Future Value (FV)= $12,000

To calculate the number of months required to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(12,000 / 1,200) / ln(1.00667)

n= 346.37 months

In years:

346.37/12= 28.86 years

A person places $4630 in an investment account earning an annual rate of 5.7%,
compounded continuously. Using the formula V = Pert, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the nearest
cent, in the account after 9 years.

Answers

Answer:

75.935

Step-by-step explanation:

If V = Pe^rt and we are given P (the principle investment) =4630 ,

a rate of 5.7 % which as a decimal = 0.057 (% divided by 100 = decimal)

we can substitute this information in and get V=4630 e^(.057t).

then it says what will it be in 9 years? so we put 9 in for "t" and get

v = 4630 e^(0.057 * 9) simplify using a calculator and we will get our answer.

a restaurant used 6.5 ounces of cheese to make 5 slices of pizza. if each slice had the same amount of cheese, how much was on each slice?​

Answers

Answer:

1.3 ounces, 1.3*5 =6.5

Other Questions
The population size of pandabears increases dramaticallyThepopulation will decrease because What is the diameter of the circle?What is the circumference of the circleWhat is the area of the circle ___________ provides both equilibrium and aesthetics to a piece of art.a.Balancec.Imageryb.Proportiond.Realism Tell whether the angle measures can be those of a triangle.20, 160, 20 Yes, can be those of a triangle.No, cannot be those of a triangle. help me plz................. HELP hurry (77points)Write and nonfiction story about this prompt: how do you define what it means to be an American today? Help please!!Brainliest if right resources that can be saved through the use of computers a horse run 10 meters going south The frustrated parents tried to ____ their child from entering the busy store 7. Mrs. Paulson is constructing a 90% confidence interval for the difference of means based on independentsimple random samples from two populations. The sample sizes are n, = 6 and n, =14. She draws dotplotsof the sample data to check one of the conditions for using two-sample i procedures. Which of the followingdescriptions of those dotplots would suggest that it is safe to perform inference?(a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.(b) Both dotplots are roughly symmetric. The dotplot of sample 2 has an outlier.(c) Both dotplots are strongly skewed to the right. There are no outliers in either dotplot.(d) Both dotplots are roughly symmetric. Both dotplots have one upper outlier(e) i procedures are not recommended in any of these cases. ______is a physical health benefit of physical activity.Options:a. A reduction in your stress levelb. Meeting new peoplec. Enhancement of sleep and relaxationd. Increased muscular strength On September 30, 2016, the Esquire Company sold some merchandise to Callxpress Company. In payment, Esquire agreed to accept a note maturing on June 30, 2017. The note is a $50,000, 9-month, 8% interest-bearing note requiring the payment of principal and interest on June 30, 2017. The 6% rate is appropriate in this situation. The adjusting entry that the Callxpress Company should prepare on December 31, 2016 includes a: Help- this is also due tomorrow- HELP ASAP WILL GIVE BRAINLIEST! -PLEASE SOLVE-I think the answer is 4 but Im not sure!! PLEASE HELPP! Why is the Supreme Court the branch that can best protect the rights of unpopular minority groups?They have the support of the military.Only the Supreme Court has to follow the Constitution.They are always of the same party as the president, so they cannot be voted against.They serve for life, so they do not have to be worried about being voted out by the majority. _8. The Voting Rights Act of 1965 ended poll taxes and literacy tests as a prerequisite to vote, resulting in -A. women gaining the right to voteB. veterans of the Korean War voting in larger numbersC. larger voter participation in the North than the SouthD. increased voting rates of minoritieseleased EOC Questions How did Suleiman the Magnificent gain, consolidate, and maintain power? Jessica is making a cake. The recipe calls for 2 3/4 cups of flour. She only has a measuring cup that holds 1/4 cup. Explain how she can use the measuring cup that holds 1/4 cup to measure 2 3/4 cups of flour.