The manufacturer of pencils spends $0.05 to make each pencil and sells them for
0.25. The manufacturer also has fixed costs each month of $2000. Find the cost function C when x pencils are manufactured.

Answers

Answer 1

Answer: C(x) = 2000+ 0.05 x

Step-by-step explanation:

Hi, to answer this question we simply have to apply the next formula:

Cost (C) = fixed cost + (cost per pencil x number of pencils)

Since:

Fixed cost: $2000

Cost per pencil : $0.05

Replacing with the values given:

C(x) = 2000+ 0.05 x

Where x is the number of pencils manufactured.

Feel free to ask for more if needed or if you did not understand something.


Related Questions

568,924,126 each digit stands for what

Answers

Answer:

500,000,00060,000,0008,000,000900,00020,0004,000100206

Step-by-step explanation:

To find what a digit stands for, make all the other digits zero.

This is substantially what we do when we write the number in "expanded form."

  568,924,126

  = 500,000,000 +60,000,000 +8,000,000 +900,000 +20,000 +4,000 ...

     ... +100 +20 +6

The list of numbers in the sum is the list of numbers the digits stand for.

What do you have to know before you can round a number

Answers

Answer:

if it ends in 5 then you round up but if it's less than 5 you round down

Step-by-step explanation:

You first have to locate the digit in the rounding place and this digit can be in the ones place, tens place,

hundreds place, thousands place, and so on.

After you locate the digit, look at the

digit to the right of the rounding place.

If the digit to the right of the rounding place is less than 5, we round down and if the digit is greater than or equal to 5, we round up.

To study the effects of an advertising campaign at a supply chain, several stores are randomly selected with the following observed before‐ and after‐advertising monthly sales revenues: Store number 1 2 3 4 5 Old sales revenue (mil. $) 6.5 4.8 7.9 6.2 7.1 New sales revenue (mil. $) 7.5 6.3 7.1 7.8 8.9 Let μ₁ and μ₂ be the means of old and new sales revenues, both in millions of dollars per month. (a)[7] At α = 0.05, test H₀: μ₂ ≤ μ₁ versus H₁: μ₂ > μ₁. Sketch the test. Interpret your result. (b)[3] Sketch and find the p‐value of the test. Would you reject H₀ if α = 0.01? Hint: Use 5 decimals. Refer to some Excel lookups: αv 0.990 0.990 0.950 0.950

Answers

Answer:

Check the explanation

Step-by-step explanation:

Part a

H0: µ2≤µ1 versus H1: µ2>µ1

(Upper tailed test)

WE will consider differences as (New – Old).

From given data, we have

Dbar = 0.70

SD = 0.70

n = 5

Degrees of freedom = df = n – 1 = 5 – 1 = 4

Test statistic = t = (Dbar - µd) /[SD/sqrt(n)]

t = (0.70 – 0)/[0.70/sqrt(5)]

t = 0.70/ 0.3130

t = 2.2361

Critical value = 2.1318

(by using t-table)

P-value = 0.0445

(by using t-table)

P-value < α = 0.05

So, we reject the null hypothesis

There is sufficient evidence to conclude that the average monthly sales revenue increases after the advertising.

Kindly check the first attached image for the graphical table.

Part b

P-value = 0.0445

α = 0.01

P-value > α = 0.01

So, we do not reject the null hypothesis

There is insufficient evidence to conclude that the average monthly sales revenue increases after the advertising.

Kindly check the second attached image for the graphical table.

ten tiles numbered 1 through 10 are placed in a bag you randomly chose one tile. without replacing the tile you randomly chose a second tile. Find the probability of choosing a 4 and then an even number?

Answers

Answer:

1/10

Step-by-step explanation:

there are 10 tiles and only 1 tile numbered 4 so 1 out of 10 tiles are numbered 4

What is the meaning of life

Answers

Answer:

The answer of life is 42 just look it up

A rectangle is divided into same size squares one row covers 1/8 of the whole rectangle there are 3 squares in each row how many squares are in a whole triangle

Answers

Answer:

it is one square

Step-by-step explanation:

in the middle is room for one but anywhere else isn't

Just the 46×23 to the fourth power times 1000

Answers

Answer:1.2872686 x 10^10

Step-by-step explanation:

46 x 23^4 x 1000

46 x 23 x 23 x 23 x 23 x 1000

1.2872686 x 10^10

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes. Based upon the above information and numerically justified, would you be surprised if it took less than one minute to find a parking space?



a. Yes


b. No


c. Unable to determine.

Answers

Answer:

a. Yes

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the absolute value of the z-score is 2 or larger, X is considered a surprising outcome.

In this question:

[tex]\mu = 7, \sigma = 3[/tex]

Would you be surprised if it took less than one minute to find a parking space?

We have to find the z-score when X = 1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1 - 7}{3}[/tex]

[tex]Z = -2[/tex]

Since Z = -2, the correct answer is:

a. Yes

Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?
46 minus 20 less-than 2 j
2 j minus 20 less-than-or-equal-to 46
46 minus 20 less-than-or-equal-to 2 j
2 j minus 20 greater-than-or-equal-to 46

Answers

Answer:

  2j -20 ≤ 46

Step-by-step explanation:

"20 less than double the number Jason [hit]" can be represented by 2j-20.

We are told that 46 is no fewer than this value, so it is greater than or equal to this value:

  46 ≥ 2j -20

  2j -20 ≤ 46 . . . . . swapping sides to match answer choices

Answer:

2j -20 ≤ 46

Step-by-step explanation:

A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction)
(StartFraction 1 over 52 EndFraction) (StartFraction 1 over 51 EndFraction) (StartFraction 1 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 51 EndFraction) (StartFraction 4 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 3 over 51 EndFraction) (StartFraction 2 over 50 EndFraction)

Answers

Answer:

The answer is A

Step-by-step explanation:

Edg : )

Answer:

A

Step-by-step explanation:

I need the answer ASAP giving 20 points!

Answers

Answer: a makes the most sense

Step-by-step explanation:

help help help help

Answers

Answer:

It isn't 100

(0.5 is 1/2)

2/0.5=4

50x4=200

Hope this helps

Step-by-step explanation:

A coin is tossed and a fourth section spinner is spun once a tree diagram shows the possible outcomes for the two events what is the probability of flipping tails on a coin and spinning a two on the spinner

Answers

Answer:

2/6 or 1/3 I think

Step-by-step explanation:

you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.

therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.

The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha

Answers

Answer:

a)  Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

b) The test statistic

        |t| = |-3.33| = 3.33

c) P - value lies between in these intervals

0.001 < P < 0.005

Step-by-step explanation:

Step( i ):-

Given data the Population mean 'μ' = 5.5

The small sample size 'n' = 16

The sample mean (x⁻) = 5.25

Given the  percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.

Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

 Level of significance ∝ = 0.01

Step(ii):-

 The test statistic

                              [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

                             [tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]

On calculation , we get

                            t = -3.33

                           |t| = |-3.33| = 3.33

Step(iii):-

P - value

The degrees of freedom γ = n-1 = 16-1 =15

The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005

0.001 < P < 0.005

Condition(i)

P - value < ∝ then reject H₀

Condition(ii)

P - value > ∝ then Accept H₀

we observe that  0.001 < P < 0.005

P- value < 0.01

we rejected  H₀

(or)

The tabulated value  = 2.60 at 0.01 level of significance with '15' degrees of freedom

The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom

The null hypothesis is rejected

Conclusion:-

Accepted Alternative hypothesis H₁

The Claim that the true average is smaller than 5.5

             

1
2
5
6
7
A six-sided number cube is rolled twice.
What is the probability that the first roll is an even number and the second roll is a number greater than 4?
1
6
1
3
2
3
5
6​

Answers

Answer:

1/6

Step-by-step explanation:

3/6 for even 3/6*2/6-----1/2*1/3

Emina took out a 5/1 variable-rate mortgage for $120,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
O
A. $102,164.09
B. $123,740.97
c. $110,579.39
D. $113,739.09

Answers

Answer:

$110,579.39 this is the right answer.

Fernando factored 45y^6 as (9y^3)(5y^3).

Salma factored 45y as (3y)(15y^5).

Which of them factored 45y^6 correctly?

Answers

Answer:

They both factored it correctly

Step-by-step explanation:

To find the one that was factored correctly, we expand the two of them and compare with [tex]45y^6[/tex].

Fernando

[tex](9y^3)(5y^3)[/tex]

= [tex]9 * 5 * y^3 * y^3[/tex]

= [tex]45y^6[/tex]

Salma

[tex](3y)(15y^5)[/tex]

= [tex]3 * 15 * y * y^5[/tex]

= [tex]45y^6[/tex]

As we can see, they both factored it correctly.

Answer:

both are correct in their factoring

Step-by-step explanation:

fourteen less then the product of five and nine in numerical expression

pls help

Answers

Answer:

( 5 x 9 ) - 14

Which equals 31

Answer:

31

Step-by-step explanation:

5 x 9- 14 is 31

If you flip a coin 10 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Answer:

5

Step-by-step explanation:

The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.

Answer:

5

Step-by-step explanation:

Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head

Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

D. Vertx: (3,-16); Intercepts: x = -1, 7

Step-by-step explanation:

I graphed the equation on the graph below.

i took too many pills counting up the bills
Molly in my cup i can't tell you how it feel​

Answers

Answer:

errday i b countin up countin up da blues  count away sometimes we always lose

Step-by-step explanation:

juice wrld

Answer:

juice wrld

Step-by-step explanation:

if Logan(3)=5, what is the value of a^5?​

Answers

Answer:

  [tex]a^5=3[/tex]

Step-by-step explanation:

When it comes to exponential expressions and logarithms, the following relationship applies:

  [tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]

Here, it means ...

  [tex]\boxed{a^5=3}[/tex]

Answer:

[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]

Step-by-step explanation:

[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]

The distance between the origin and the point representing the real number.

Answers

Answer: I believe the answer you're looking for is absolute value

I hope this helps!!!

If
f(x) = -4x + 8 and
g(x) = √ x – 1, which statement is true?

Answers

Answer:

-3 is not in the domain of f°g

Step-by-step explanation:

f°g=f(g(x))

f(x) = -4(√x-1)+8

*Remember that √x-1 has to be larger than 0

since √-3-1 = √-4, -3 is not in the domain of f°g

Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha
A
The graph by one unit
B)
The graph by five units
The equation by one unit
D)
The equation by five units

Answers

Answer:

A

Step-by-step explanation:

What is the median of the following numbers?
1, 2, 10, 6, 4, 4, 6, 3, 1,4

Answers

Answer:

4

Step-by-step explanation:

The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.

Answer: 4

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

So let's write our data set from least to greatest.

So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.

Now, notice that there are two numbers that appear in the middle.

I have underlined them above.

When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.

So the median of the given data set is 4.

Find the area of the regular polygon.

Round your answer to the

nearest tenth if necessary.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the dimension of the polygon is not given.

However, I'll give a general explanation of how to calculate the area of a regular polygon.

If you follow these simple steps, you'll arrive at your answer.

The area of a polygon is calculated as thus;

A = ½(nbh)

Where A represent the area

n represents the number of sides

b represents the length of the base

h represent the height of the polygon

Take for instance, the polygon is a regular pentagon.

This means n = 5.

Also assume that the base and the height are 5cm and 7cm respectively.

This means that

Area = ½ * (5 * 5 * 7)

Area = ½ * 175

Area = 87.5cm²

Hence, the area of the polygon is 87.5cm²

Which set of numbers is included in the solution set of the compound inequality? {–7, 5, 18, 24, 32} {–9, 7, 15, 22, 26} {16, 17, 22, 23, 24} {18, 19, 20, 21, 22}

Answers

Answer:

{-7,5,18,24,32}

Step-by-step explanation:

Let's verify all cases to determine the solution to the problem.

CASE A) we have

-9,7,15,22,26

The number 22 is not included in the solution set of the compound inequality.

CASE B) we have

-7,5,18,24,32

The number 22 is not included in the solution set of the compound inequality.

CASE C) we have

16,17,22,23,24

The number 22 is not included in the solution set of the compound inequality.

CASE D) we have

18,19,20,21,22

The numbers 19,20,21,22 are not included in the solution set of the compound inequality.

The answer to your question would be A

877+100=__+258help me​

Answers

Answer:

719 = x

Step-by-step explanation:

877+100=_x_+258

Combine like terms

977 = x+258

Subtract 258

977 -258 = x+258-258

719 = x

719 would be the right answer I believe not too sure

The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m.


A histogram titled Cell Phone Calls has time of day on the x-axis and number of calls on the y-axis. From 10 to 12 pm there were 2 calls; from 12 to 2 pm there were 8 calls; from 2 to 4 pm there were 0 calls; from 4 to 6 pm there were 10 calls; from 6 to 8 pm there were 4 calls; from 8 to 10 pm there were 2 calls.

Which statement most reasonably explains the hours when zero calls were received?
Medera turned the phone off while playing in a soccer game.
Medera’s phone can only receive 22 calls a day.
Medera only receives calls in clusters.
Medera lost her phone for two hours.

Answers

Answer:

Its A. Medera turned the phone off while playing in the soccer game

Step-by-step explanation:

Answer:

It is A.Medera turned the phone off while playing in a soccer game.

Step-by-step explanation:

got a 100 on the test

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