Find the derivative of the given function. y = - 4xln(x + 12) 3х 3x A. + 3ln (x + 12) x+12 B. - 3ln (x + 12) x+12 4x 4x C. - 4ln (x + 12) D. - x+12 + 4ln (x + 12) x+12

Answers

Answer 1

Using chain rule the derivative for the function y = -4xln(x + 12) is -4ln(x + 12) - 4x / (x + 12).

To find the derivative of the given function y = -4xln(x + 12), we can use the product rule and the chain rule.

The product rule states that for two functions u(x) and v(x), the derivative of their product is given by:

(d/dx)(u(x)v(x)) = u'(x)v(x) + u(x)v'(x)

In this case, u(x) = -4x and v(x) = ln(x + 12). Let's calculate their derivatives:

u'(x) = -4

v'(x) = 1 / (x + 12)

Applying the product rule, we have:

(d/dx)(-4xln(x + 12)) = (-4)(ln(x + 12)) + (-4x)(1 / (x + 12))

Simplifying further:

= -4ln(x + 12) - 4x / (x + 12)

Therefore, the derivative of y = -4xln(x + 12) is -4ln(x + 12) - 4x / (x + 12).

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The question is -

Find the derivative of the given function.

y = -4xln(x + 12)

A. 3x / x + 12 + 3ln(x+12)

B. 3x / x + 12 - 3ln(x+12)

C. - (3x / x + 12) - 3ln(x+12)

D. - (3x / x + 12) + 4ln(x+12)


Related Questions

If I have a two-way between subjects ANOVA with two groups per factor, how many factors do I have and how many groups do I have overall in my study? (Hint: the first number should be the number of factors that you have and the second number should be the number of groups that you have) 4; cannot be determined O 2; cannot be determined O 4: 2 O 2:4 Question 14 2 pts When doing a two-way between subjects ANOVA, can I concurrently have both a main effect and an interaction? No Yes Question 15 2 pts I do a two-way between-subjects ANOVA and find that my interaction F-test is significant. What do I do next? I would do a post-hoc Tukey test o I would look at my b-weights to see which variables are significant o I would do a post-hoc Bonferroni test I would do a simple main effects analysis Question 16 2 pts True or false: when I have an interaction in a two-way between-subjects ANOVA, the means across the levels for one factor significantly varies depending on which level of the second factor a person is looking at. True False Question 17 2 pts What type of correlation would I use if I have two factors that are both on an ordinal (or rank) scale? Spearman Phi (or a chi-square) Pearson O Point-biseral (or a t-test) D Question 18 2 pts When doing a multiple regression, how many outcome variables would I normally have in my model or analyses? As many as I think is relevant for my study 0 1 02 Question 19 2 pts What does b refer to in a regression analysis? Constant Unstandardized weight of a predictor variable Outcome variable Standardized weight of a predictor variable Question 20 2 pts a I do a multiple regression and find that my overall regression model is significant What do I do next? I would do a post-hoc Tukey test I would do a post-hoc Bonferroni test I would do a simple main effects analysis I would look at my b-weights to see which variables are significant D Question 21 2 pts Which of the following shows the largest positive standardized regression weight? ob' = -0.30 ob -0.15 Ob* -0.35 Ob -0.38

Answers

To answer your questions:

14. In a two-way between-subjects ANOVA with two groups per factor, you have 2 factors and a total of 4 groups in your study.

15. If the interaction F-test in a two-way between-subjects ANOVA is significant, the next step would be to conduct a post-hoc analysis to explore the specific group differences and determine the nature of the interaction effect. The choice of post-hoc test (e.g., Tukey, Bonferroni) would depend on the specific research question and the number of comparisons being made.

16. True. When there is an interaction in a two-way between-subjects ANOVA, it means that the means across the levels of one factor significantly vary depending on which level of the second factor is being considered.

17. If you have two factors that are both on an ordinal (or rank) scale, you would use the Spearman correlation coefficient to measure the relationship between these factors.

18. In a multiple regression analysis, you can have multiple outcome variables, but typically you would have only one outcome variable that you are trying to predict.

19. In a regression analysis, the "b" refers to the unstandardized weight (also known as the regression coefficient) of a predictor variable. It represents the change in the outcome variable for a one-unit change in the predictor, holding other predictors constant.

20. If the overall regression model is significant, the next step would be to examine the individual predictor variables (b-weights) to determine which variables are significant in predicting the outcome variable.

21. The largest positive standardized regression weight is represented by ob* = -0.35.

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If x and y are two rational numbers such that x < y , then ______ is a rational number in between x and y.

Answers

Answer:

[tex]\dfrac{x+y}{2}[/tex]

Step-by-step explanation:

Let first number be x and another number is y.

A rational number is a fraction that can be expressed in the form of x/y.

A rational number between x and y is given by :

[tex]R=\dfrac{x+y}{2}[/tex]

So,

If x and y are two rational numbers such that x < y , then [tex]\dfrac{x+y}{2}[/tex] is a rational number in between x and y.

What is the quotient of 1,234 and 4?

Answers

Answer:

308.5 lol

Step-by-step explanation:

Find the exact value of sin 105º.

Answers

Answer:

sin 105 = sin (45 + 60) = sin 45 cos 60 + cos 45 sin 60, or

                                    = (1 / √2)(1 / 2)        + (1 / √2)(√3 / 2)

                                         1 + √3

                                    = -------------

                                           2√2

Step-by-step explanation:

value is 1
(according to my calculator)

D. The cost to play the game is $2. The winner gets $6 for making purple. How much profit would the school make from 18 people playing the game?​

Answers

Answer:

$30

Step-by-step explanation:

1 person = $ 2

18 person = 2 × 18 = $36

winner = $6

profit = 36 - 6 = $30

Which variable of time could cause a student’s GPA to increase?


a) sleeping


b) working


c) eating


d) studying

Answers

The correct answer is D.

The variable of time that could cause a student’s GPA to increase is studying.

A student’s grade point average (GPA) is a reflection of their academic performance, which is determined by their cumulative grades in classes and academic subjects over a period of time.GPA can be influenced by various factors, including how much time students dedicate to studying, the amount of effort they put in, and how effectively they utilize their study time. Therefore, if students dedicate more time to studying, their grades may improve, resulting in a higher GPA.

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8/10=6/5 what is this

Answers

Answer:

Hi! You're uspposed to check the equality, and it is false. 8/10 is not equal to 6/5.

However, If you add the two together by making the common denominator 10, you will get 20/10 or 2.

Answer:

4/5=6/5 :3

Step-by-step explanation:

Given m
|| n, find the value of x.
т
n
(6x+19)°
(4x+11)
a
Help what is X

Answers

Answer:

x=15

supplementary angle equals 180

need help with this one also

Answers

Answer:

scale factor 3 is the answer.

Step-by-step explanation:

Length = 18 in

Breadth = 3 in

height = 10 in

Volume of cuboid = l × b × h

V = 18 × 3 × 10

V = 540 in³

540 in³ is the original volume. The volume needs to be tripled, so multiply the original volume with 3

V = 540 × 3 = 1620 in³

∴ 1620 in³ will be the new volume if it's tripled and the scale factor is 3.

HELP ME TEST QUESTION!! A bar graph is shown below. What percent of owners chose dog as their favorite pet?

Answers

26 look at the graugh

Newborn babies weigh an average of 7.5 pounds with a standard deviation of 1.25 pounds. Find the 2-score for a baby who weighs 6.70 pounds. Round your answer to 2 decimal places. I

Answers

This indicates that the baby's weight is 0.64 standard deviations below the mean weight of newborn babies.

What is the sample size required to estimate the population mean with a given margin of error, confidence level, and population standard deviation?

To calculate the z-score, we use the formula:

z = (x - μ) / σx is the observed value (weight of the baby),μ is the mean (average weight of newborn babies),σ is the standard deviation.

In this case, the observed weight is 6.70 pounds, the mean weight is 7.5 pounds, and the standard deviation is 1.25 pounds.

Plugging these values into the formula, we get:

z = (6.70 - 7.5) / 1.25

Calculating this, we find that the z-score is approximately -0.64.

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In a sample of 40 people 40% are black. Test the null hypothesis that the population proportion of black 0.2 against the altemative hypothesis that proportion is not equal to 0.2. Find the p value. DA 0.5186 O 0.0015 OC 0.0528 OD 0,1967

Answers

In this case, the p-value is not provided in the question, so the actual value needs to be calculated using the appropriate statistical test.

What is the correlation coefficient between two variables when their covariance is 120 and their standard deviations are 15 and 10, respectively?

In hypothesis testing, the p-value represents the probability of obtaining the observed sample data, or more extreme data, assuming that the null hypothesis is true.

It measures the strength of evidence against the null hypothesis.

In this case, the null hypothesis is that the population proportion of black people is 0.2.

The alternative hypothesis is that the proportion is not equal to 0.2, indicating that there may be a difference in the population proportion.

To find the p-value, a statistical test (such as a proportion test) is performed using the sample data.

Based on the given information, the p-value is the probability associated with the test statistic obtained from the test.

The p-value indicates the likelihood of observing a proportion as extreme or more extreme than the one observed in the sample, assuming the null hypothesis is true.

A smaller p-value suggests stronger evidence against the null hypothesis.

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Which numbers are integers?Check all that apply.
15
-9
Two-thirds
6 and StartFraction 1 Over 9 EndFraction
0
-3,128
4.76

Answers

Answer:

the intergers include all negative whole numbers,zero,positive whole numbers

Answer:

the answer is 15. -9. 0. -3,128

Step-by-step explanation:

Consider this diagram of quadrilateral ABCD, which is not drawn to scale.
Which two statements must be true based on the information indicated by the diagram?

A. AC=~ BD

B. Triangle ABC =~ Triangle CDA

C.AB =~ DC

D. Angle ABD =~ Angle DBC


Answers

Option A,Option B and Option C is correct

What is parallelogram?

Parallelogram is 4 sided closed figure with opposites parallel and equal

Given,AB=CD

AD=BC

Since, its opposite sides are equal, it is a parallelogram.

∴ΔABD≅ΔBCD

AC= BD(By CPCTC)

B. Triangle ABC =~ Triangle CDA ( Since its a parallelogram)

C.AB =DC(Given)

D. Angle ABD =~ Angle DBC(wrong)

Therefore,Option A,Option B and Option C is correct

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Answer:

( B )              △ABC ≅ △CDA

( C )                    AB ≅ DC

Step-by-step explanation:

Khan Academy;

ABC = CDA, but ≅ means approximately which is also true.

AB = DC, because the distance matches.

HEEEELLLLPPPPPPPPP !!!!

Answers

Answer:

Step-by-step explanation:

Common difference = 5

a₁ = 24

a₆ = a₁ + (6-1)5 = 49

What type of triangle is this ?

Answers

Answer:

triangle bby

Step-by-step explanation:

Step-by-step explanation:

Right because there's an angle of 90

Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.

For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!
-8k^-4/k^6

Answers

Answer:

i have to see the assigment

Step-by-step explanation:

                                                                                               

Determine the extreme point (x*, y*) and its nature of the following function: z = 25x + 16y - 4xy - 2x² - y² + 30

Answers

The extreme point (x*, y*) of the function z = 25x + 16y - 4xy - 2x² - y² + 30 is  (-1.75, 8) and it is a maximum point.

To find the extreme point and its nature, we need to take the partial derivatives of the function with respect to x and y and set them equal to zero. The extreme point occurs when both partial derivatives are zero.

Taking the partial derivatives, we have:

∂z/∂x = 25 - 4y - 4x

∂z/∂y = 16 - 2y

Setting these derivatives equal to zero and solving the system of equations, we find:

25 - 4y - 4x = 0 ...(1)

16 - 2y = 0 ...(2)

From equation (2), we can solve for y:

2y = 16

y = 8

Substituting this value of y into equation (1), we can solve for x:

25 - 4(8) - 4x = 0

25 - 32 - 4x = 0

-4x = 7

x = -7/4 = -1.75

Therefore, the extreme point (x*, y*) is (-1.75, 8).

Since the second derivative test confirms that the point is a maximum, we can conclude that the extreme point (x*, y*) =  (-1.75, 8) is a maximum point.

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Guided Practice


Which property justifies the first step in solving this equation ?
[tex]\frac{x}{5}[/tex]+9=11
[tex]\frac{x}{5}[/tex]+9−9=11−9


A.
Substitution Property of Equality


B.
Addition Property of Equality


C.
Subtraction Property of Equality

Answers

Answer:

a subtraction

Step-by-step explanation:

C.

Subtraction Property of Equality

the quotient property of radicals requires the indices of the radicals to be the same. does this mean that it is not possible to write as a single radical? explain.

Answers

The quotient property of radicals requires the indices of the radicals to be the same. Thus, it is not possible to write the expression (5√3 + 2√2) as a single radical.What is the quotient property of radicals?

The quotient property of radicals states that for any non-negative numbers x and y with y ≠ 0, if n is an integer greater than 1, then the following property holds:√(x/y) = √x/√yNow let's take a look at the question at hand. We can see that the two radicals have different indices. Therefore, the quotient property of radicals does not apply. As a result, it is not possible to simplify the expression as a single radical. Therefore, the expression (5√3 + 2√2) cannot be written as a single radical.

The quotient property of radicals states that when dividing radicals, the indices (or roots) of the radicals involved must be the same. In other words, for the quotient property to be applicable, the radicals being divided must have the same root.

If the radicals have different indices, it is generally not possible to simplify the expression into a single radical. This is because the rules of radical arithmetic require the indices to be the same in order to combine or simplify radicals.

For example, let's consider the expression √2 / √3. Here, the radicals have different indices (square root and cube root), so we cannot combine them into a single radical using the quotient property. The expression √2 / √3 cannot be simplified further because the indices do not match.

However, it's important to note that even though the quotient property does not apply in such cases, it does not mean that the expression is mathematically invalid or cannot be manipulated further. It simply means that the expression cannot be simplified into a single radical using the quotient property. Other algebraic techniques or operations may be necessary to further simplify or manipulate the expression if desired.

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The given information is the quotient property of radicals requires the indices of the radicals to be same.

Yes, it is not possible to write [tex]$8\sqrt{2}+5\sqrt{3}$[/tex] as a single radical because the quotient property of radicals requires the indices of the radicals to be the same.

The quotient property of radicals is a mathematical concept that explains how to divide two radicals with the same index. If r is a non-negative number and s is a non-negative number, then:

[tex](\frac{r}{s})^{n}=\frac{r^{n}}{s^{n}}[/tex]

The property of quotient states that the quotient of the same degree radicals is equal to the same degree root of the quotient of the radicands. If a and b are non-negative numbers and n is an integer greater than 1:

[tex](\frac{a}{b})^{n}=\frac{a^{n}}{b^{n}}\sqrt[n]{\frac{a}{b}}[/tex]

[tex]=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}[/tex]

If you look at the terms [tex]$8\sqrt{2}$ and $5\sqrt{3}$[/tex], you can tell that their indices are not the same. The term [tex]$8\sqrt{2}$[/tex] has an index of 2 while the term [tex]$5\sqrt{3}$[/tex] has an index of 3. The quotient property of radicals requires the indices of the radicals to be the same. Therefore, you cannot add or subtract two radicals that do not have the same index.

Example: [tex]$8\sqrt{2}+5\sqrt{3}$[/tex] can be rearranged as [tex]$8\sqrt{2}+0\sqrt{3}+5\sqrt{3}$[/tex]. Then using distributive property, it can be written as [tex]$(8+0)\sqrt{2}+5\sqrt{3}$[/tex]. In conclusion, it is not possible to write [tex]$8\sqrt{2}+5\sqrt{3}$[/tex] as a single radical.

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help with this question pleaseee !!

Answers

I can’t see the picture I am sorry

In the following diagram, parallelogram ABCD contains triangle CED. Line CE and line ED intersect at point E. The measures of ∠CEA and ∠CDE are shown. What is the measure of x?______ degrees *

Answers

Answer:

∠x = 59°

Step-by-step explanation:

∠ECD = 52°   because they are alternate angles and will be equal

∠x = 180° - 52° - 69° = 59°  because the sum of the interior angles of a triangle = 180°

1-Pearson Publishing expects to sell $2 million of its new edition of "Foundation of Finance." However, $200,000 of this amount would have been spent on its existing past edition of the textbook. The $2 million is the appropriate cash inflow for the new edition of the book
true or false

2-Companies should use accounting profits, not cash flows, to make capital budgeting decisions.
true or false

Answers

(1) The statement that, "The $2 million is appropriate cash-inflow for the new edition of the book" is False because the cash-inflow is $1.8 million.

(2) The statement that, "Companies should use accounting profits, not cash flows, to make capital budgeting decisions" is False because, companies should focus on cash flows.

Part (1) The $2 million is not appropriate "cash-inflow" for "new-edition" of book. The $2 million represents "expected-sales" revenue from the new edition of "Foundation of Finance," but it does not take into account any costs or expenses associated with producing or marketing the book.

It is mentioned that $200,000 would have been spent on existing past edition of textbook. This expense needs to be deducted from expected sales revenue to determine the appropriate cash inflow.

So, appropriate cash-inflow for the new edition would be $2 million minus $200,000, which equals $1.8 million.

So, the statement is False.

Part (2) : Companies should use cash flows, not accounting-profits, to make capital budgeting decisions. Accounting-profits, also known as net income or earnings, are calculated based on accrual accounting principles and include non-cash items such as depreciation and amortization.

When making capital budgeting decisions, it is essential to consider the actual "cash-flows" generated by an investment project. Cash flows represent the cash inflows and outflows that occur over a specific period, and they are crucial for evaluating the feasibility and profitability of an investment.

Therefore, the statement is False.

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Simplify w x 12 x 3
Helppp

Answers

Answer:-x • (w2 - 12)

 ——————————————

       3w      

Please help due today:///

Answers

Answer is 80 because 50 * 12 = 600
Then 600-520= 80

Mark the focus of the parabola you are going to create at F(6, 4). Draw a horizontal line that is 6 units below the focus. This line will be the directrix of your parabola. What is the equation of the line?​

Answers

Answer: y=-2

Step-by-step explanation:

Based on the location of the line and the focus of the parabola, the equation of the line will be y = -2.

What is the equation of the line?

The line is a horizontal line which means that the primary focus will be on the y axis.

The focus of the parabola is at F(6, 4) and the line is to be 6 units below this focus which means that the line on the y axis will be at:

= 4 - 6

= -2

This leaves the formula of the line as y = -2.

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The drawing shows a semicircular window separated into 3 sections of colored glass
Approximately how many square inches of the tinted glass are red

Answers

Answer:

141.3

Step-by-step explanation:

27.78% of the total area is covered with red.

What is the area of a sector? What is a expression? What is a mathematical equation?A part of a circle is called sector. The area of a sector is given by -

       (Ф/360) x πr²

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the given semicircle as shown in image.

Total green coloured area -

A[G] = 2 x {(Ф/360) x πr²}

A[G] = 2 x (40/360 x πr²}

A[G] = (2/9)πr²

Now -

A[R] = πr²/2 - (2/9)πr²

A[R] = πr²{1/2 - 2/9}

A[R]% = (πr²{1/2 - 2/9}/πr²) x 100

A[R]% = (1/2 - 2/9) x 100

A[R]% = (9 - 4)/18 x 100

A[R]% = 5/18 x 100

A[R]% = 500/18

A[R]% = 27.78%

Therefore, 27.78% of the total area is covered with red.

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Convert 3.1415 x 10^-2 to standard notation.

Answers

The answer is .031415

Which is the graph of g(x)>2√3x+2?

Answers

Answer:

3rd one im pretty sure

Step-by-step explanation:

what is the area of a semicircle that has a radius of 30 feet

Answers

Answer:

1413 sq ft.

Step-by-step explanation:

Area of a semicircle=(1/2)*πr²

Radius=30ft

A=(1/2)*3.14*30²=1413 sq ft.

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Find necessary and sufficient conditions on a, b, c, d so that A is diagonalizablethat is, so that A has two (real) linearly independent eigenvectors. Which archetype does Narcissus represent in the story of the flower of that name?HeroAntihero Villain Ingnue Let Y_1, Y_2, ..., Y_n be a random sample from a population with probability density function of the form f_Y (y) = [ exp{ (y c)}, if y>c] 0, o.w..Show that Y_(1) = min {Y_1, Y_2,..., Y_n} is a consistent estimator of the parameter -[infinity] A nurse is preparing an educational program for a group of staff nurses about Transmission Precautions. Which instructions should the nurse include? An internal control questionnaire indicates that an approved receiving report is required to accompany every check request for the payment of merchandise. 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The machines were listed in the auction catalogue at $110,000 for machine X and $155,000 for machine Y. Immediately after the auction, Fine Touch had the machines professionally appraised so it could increase its insurance coverage. The appraisal put a fair value of $115,150 on machine X and $129,850 on machine Y. On March 24, Fine Touch paid a total of $5,000 in transportation and installation charges for the two machines. No further expenditures were made for machine X, but $7,300 was paid on March 29 for improvements to machine Y. On March 31, 2020, both machines were ready to be used. The company expects machine X to last five years and to have a residual value of $3,600 when it is removed from service, and it expects machine Y to be useful for eight more years and have a residual value of $15,350 at that time. Due to the different characteristics of the two machines, different depreciation methods will be used for them: machine X will be depreciated using the double-diminishing-balance method and machine Y using the straight-line method. Prepare the journal entry to record the purchase of the machines, indicating the initial cost of each A company produces two products. FC = Total Fixed costs = $580 VC= variable costs from product 1 = $820 VC variable costs from product 2 = $905 = TR revenue from product 1 = $900 TR revenues from product 2 = $900 In the short run, what should the firm do? Produce product 1 but not product 2 Produce product 2 but not product 1 Produce both products Produce neither of the products How can a central bank increase money supply in the economy?Select one:a.by issuing its own Central Bank bondsb.by selling government securities on the open marketc.by increasing the rate of inflationd.by purchasing government securities on the open market Two people are working in a small office selling shares in a mutual fund. Each is either on the phone or not. Suppose that calls come in to the two brokers at rate 1=2 = 1 per hour,while the calls are serviced at rate 1 =2 = 3.(a) Formulate a Markov chain model for this system with state space { 0 ,1 , 2 ,12 } where the state indicates who is on the phone. (b) Find the stationary disturbtion. (c) Suppose they upgrade their telephone system so that a call one line that is busy is forwarded to the other phone and lost if that phone is busy. (d) Compare the rate at which calls are lost in the two systems. A taxpayer files their 2011 income tax return on January 15, 2012. Thereafter, on January 15, 2015, the taxpayer receives an audit notice from New York State requesting documents on the deductions claimed by the taxpayer on his 2011 income tax return. You should:a. Timely provide only those documents that are requested by the auditor and nothing more.b. Advise your client that the 3 year statute of limitations on assessments has expired and therefore, he needs to do nothing.c. Inform the auditor that the audit was performed within 120 days of the statute of limitations expiring and that the audit is improper.d. Do not provide documents because your client committed a fraud and you do not want to precipitate a criminal prosecutio assuming a trust agreement exists, which of the following is an example of a trust fund? cinc acquired 100% of S Manufacturing on January 2, 2020. During 2020, C Inc. sold S Manufacturing $640,000 of goods, which had cost $450,000. S Manufacturing still owned 18% of the goods at the end of the year. In 2021. C Inc. sold goods with a cost of $820,000 to S Manufacturing for $1,000,000, and S Manufacturing still owned 15% of the goods at year-end. For 2021. the cost of goods sold totaled $5,800,000 for Inc and $1,300,000 for S Manufacturing. What was consolidated cost of goods sold for 2021? Multiple Choice a.$6.092.800 b.$6,107,200 c.$6,038,800 d.$7100,000 e.D $6.100.000 The Fibonacci sequence is defined as follows: F0 = 0, F1 = 1 and for n larger than 1, FN+1 = FN + FN-1. Set up a spreadsheet to compute the Fibonacci sequence. Show that for large N, the ratio of successive Fibonacci numbers approaches the Golden Ratio (1.61). The main difference between final consumers and intermediate consumers is that final consumers: A) pay cash. B) use products themselves. C) purchase more than intermediate consumers. D) are not as flexible as intermediate consumers. E) do not have any bargaining power.