1) Let P(x) = 3x(x − 1)³ (3x + 4)² . List the zeros of P and their corresponding multiplicities.

2) Let f(x) = −18(x + 3)² (x − 2)³ (x + 71)⁵ . Describe the end behavior of f by filling in the blank below.

As x → −∞, f(x) → .

As x → ∞, f(x) → .

3) The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 3 and roots of multiplicity 1 at x = 0 and x = −2. It goes through the point (−3, 108). Find a formula for P(x).

A human body is mostly water; it contains ~ 2/3 hydrogen, 1/4 oxygen, 1/10 carbon, and less than 1 percent higher-mass elements like iron. What is the total number of protons in your body from hydrogen, oxygen, and carbon (that is, neglect higher-mass trace elements)? Total number of neutrons? Total number of electrons? Assume your mass is 72 kg.

Let L₁ be the line passing through the point P₁=(−1, −2, −4) with direction vector →d=[1, 1, 1]^T, and let L₂ be the line passing through the point P₂=(−2, 4, −1) with the same direction vector.
Find the shortest distance d between these two lines, and find a point Q₁ on L₁ and a point Q₂ on L₂ so that d(Q₁,Q₂) = d. Use the square root symbol '√' where needed to give an exact value for your answer.

A.    Capital Budgeting Evaluation Process

1.   

2.   

3.   

4.   

5.   

B.    Cash Payback.

1.   Describe __________________________________________________

___________________________________________________________

2.   Net annual cash flow is computed by ___________________________

________________________________________________________.

a.     Cash Payback Period =

b.     The shorter the payback period, the more ___________the investment.

c.     The cash payback technique recognizes that:

(1)

(2)   

d.     In the case of uneven net annual cash flows, the company determines the cash payback period when _____________________________

_____________________________________________________

C.    Net Present Value Method.

1.   

2.   

3.   

4.   The net present value method involves discounting net cash flows to their present value and then comparing that present value with the capital outlay required by the investment. The difference between these two amounts is referred to as net present value (NPV).

a.     

b.     

c.     

D.    Intangible Benefits.

1.   

2.   

3.

E.    Mutually Exclusive Projects.

1.   Proposals are often mutually exclusive if _________________________

___________________________________________________________.

2.   The profitability index is

a.

b.

c.

d.  The higher the profitability index, the more ______________the project.

1.-Given are five observations for two variables, x and y.

(d) Develop the estimated regression equation by computing the values of b₀ and b₁ using b₁ =(Σ(x_i − x)(y_i − y))/Σ(x_i − x)² and b₀ =  y − b₁x.

(e)Use the estimated regression equation to predict the value of y when x = 2.

2.-Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies.

(c) Use the least squares method to develop the estimated regression equation that can be used to predict annual revenue (in $ millions) given the number of cars in service (in 1,000s). (Round your numerical values to three decimal places.)

ŷ =_____

(d) For every additional car placed in service, estimate how much annual revenue will change (in dollars). (Round your answer to the nearest integer.)

Annual revenue will increase by $ ___  , for every additional car placed in service.

(e) A particular rental company has 6,000 cars in service. Use the estimated regression equation developed in part (c) to predict annual revenue (in $ millions) for this company. (Round your answer to the nearest integer.)

$ __ million

1.-The following data were used in a regression study.

(a)Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)

ŷ =______

2.-The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is

ŷ = 20.987 + 0.340x, where x = price ($) and y = overall score.

(a)Compute SST, SSR, and SSE. (Round your answers to three decimal places.)

SST=___

SSR=___

SSE=___

(b)Compute the coefficient of determination r².(Round your answer to three decimal places.)

r²=___

c)What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)____

Problem 4-7A: I must 1) Enter the Nov 1 balances into the ledger accounts, 2)Journalize the November transactions, 3)Post above journal entries to the ledger accounts.4) Prepare a trial balance at November 30. 5) journalize the adjusted entires, 6)Post the above adjusting entries. 7) post an adjusted trial balance, 8) post an income statement for nov 30, 9) prepare a retained earnings sheet 10)prepare a classified balance sheet.

For 5) here is the info needed:

Start of question: On November 1, 2017, the following were the account balances of Soho Equipment Repair.

During November, the following summary transactions were completed.

Suppose the production function in Netherlands can be represented by Y = [(K^(1/4)

L^(1/3)]^2

, and the production

function in Neverland is Y = [(K^4 L^3 )^(1/9)]

. Which country will experience a higher percentage

decline in national output if both capital K and labor L decrease by 25% at the same time?

(a) Neverland.

(b) Netherlands.

(c) They are the same.

(d) More information is required.

1). Describe the four (4) basic management functions.

2). Using one (1) example, explain how these functions are related to one another.

1. Why are (1) statistical inference, (2) predictive statistics, (3) prescriptive statistics, and (4) descriptive statistics methods important to Six Sigma?

Describe the structure of a cause-and-effect diagram.

What is a root cause? How does the “5 Why” technique help uncover the root cause?