4. The CPI in year 1 = 120, the CPI in Year 2 = 144. Calculate the amount of inflation or deflation. Why is this important?

1) List the 4 reasons Sustainability is important to Companies.

2) Should there be a tax on electronic goods to help with e-waste recycling and why?

1.Suppose you have a function such that the domain of is −4≤x≤2

and the range of is −1≤y≤6.

a. What is the domain and range of the transformation

f(2(x+3))?

b. What is the domain and range of the transformation

2f(x)−3?

c. How do you know your answers are correct?

d. What can we say about how transformations affect the domain and range of a function?

2. Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour x is given by x(t)=−4t^2+20t+92, where t is the number of hours since 10 AM, 0≤t≤4

a. Find an expression for the revenue per hour R as a function of x.

b. Find and simplify (R∘x)(t). What does this represent?

c. What is the revenue per hour at noon?

d. If the price were raised to $3 per hot dog with no change in the x(t) equation, which hour would produce the most revenue? Why?

e. If the price were dropped to $1 per hot dog, but that price drop caused the number of sales to increase according to the function x(t)=−9t^2+22t+138, would the vendor make more money at the original $2 price, or at the $1 price?

3. Danielle makes the claim that when the polynomial x^2−3x−10 is divided by x−5, the remainder is 0. Use what you have learned about dividing polynomials to either verify that Danielle is correct or prove that she is incorrect. What arguments would you use to support your claim? Are there any other arguments? Justify your answers.

An investor is given the five investment alternatives (1, 2, 3, 4 and 5) with the following characteristics: Asset Expected Return Standard Deviation of Returns 1 20.0 percent 40.0 percent 2 14.0 percent 30.0 percent 3 16.0 percent 30.0 percent 4 12.0 percent 25.0 percent 5 18.0 percent 35.0 percent Which of the following statements best describes the rational investor's investment decision? a. A rational investor would never prefer Asset 4 in isolation. b. A rational investor would never prefer Asset 3 in isolation. c. A rational investor would never prefer Asset 1 in isolation. d. A rational investor would never prefer Asset 5 in isolation. e. A rational investor would never prefer Asset 2 in isolation.

Consider the following dependent random samples
Observations           1        2        3       4        5        6
x-values                  8.8    7.9     8.0     8.4    8.2    8.0
y-values    7.7    7.3 8.0     8.9    7.5      7.8

a) Determine the difference between each set of points, x_i - y_i

b) Do hypothesis testing to see if µ_d < 0 at the α = .025.

1. In Chapter 2 of your book, it describes the accounting cycle. Phase 4 of the accounting cycle is to prepare the adjusting entries. Describe two types of adjusting entries. If those entries were not made, what would the impact be on the financial statements.

2. How does double entry book-keeping and the system of debits and credits ensure accuracy in financial reporting? Can you relate the concept of double entry bookkeeping or the accounting equation to other aspects of life or learning?

1. Write the set { x | x ∈ R, x2 = 4 or x
2 = 9} in list form.
2. {x: x is a real number between 1 and 2} is an
a) finite set
b) empty set
c) infinite set
3. Write set {1, 5, 15, 25,…} in set-builder form.
4. What is the cardinality of each of these sets?
a) {{a}}
b) {a, {a}}
c) {a, {a}, {a, {a}}}
d) {∅}
e) {∅, {∅}, {∅, {∅}}}
5. Suppose that A is the set of sophomores at your school and B is the set of students in
discrete mathematics at your school. Express the following set in terms of A and B:
"the set of students at your school who either are not sophomores or are not taking discrete
mathematics"
a. A
c ∩ Bc
b. A
c U B
c
c. B-A
d. A-B
6. Let A be the set of students who live within one mile of school and let B be the set of
students who walk to classes. Describe the set B-A.
a. The set of students who walk to classes but live more than 1 mile away from school.
b. The set of students who walk to classes but live within 1 mile away from school.
c. The set of students who walk to classes.
7. What is the power set of the set {1, a, b}?
8. Let S = {∅, ?,{?}}Determine whether each of these is an element of S, a subset of S, neither,
or both.
a) {?}
b) {{?}}
c) ∅
d) { {∅ }, ?}}
8. Determine whether each of these statements is true or false.
a) 0 ∈ ∅
b) ∅ ∈ {0}
c) {0} ⊂ ∅
d) ∅ ⊂ {0}
e) {0} ∈ {0}
f) {0} ⊂ {0}
g) {∅} ⊆ {∅}
9. Let A = {a, b, c}, B = {x, y}, and C = {0, 1}.
Find A × B × C.
10. Find A2
if A = {0, a, 3}.

Problem 2-33 (LO 2-4, 2-5, 2-6a, 2-6b, 2-6c, 2-7, 2-8) On January 1, NewTune Company exchanges 17,949 shares of its common stock for all of the outstanding shares of On-the-Go, Inc. Each of NewTune’s shares has a $4 par value and a $50 fair value. The fair value of the stock exchanged in the acquisition was considered equal to On-the-Go’s fair value. NewTune also paid $23,500 in stock registration and issuance costs in connection with the merger. Several of On-the-Go’s accounts’ fair values differ from their book values on this date: Book Values Fair Values Receivables $ 35,250 $ 29,150 Trademarks 102,500 255,500 Record music catalog 80,000 267,500 In-process research and development 0 223,500 Notes payable (66,250 ) (56,900 ) Precombination book values for the two companies are as follows: NewTune On-the-Go Cash $ 74,000 $ 30,000 Receivables 128,000 35,250 Trademarks 411,000 102,500 Record music catalog 928,000 80,000 Equipment (net) 379,000 166,000 Totals $ 1,920,000 $ 413,750 Accounts payable $ (189,000 ) $ (51,500 ) Notes payable (465,000 ) (66,250 ) Common stock (400,000 ) (50,000 ) Additional paid-in capital (30,000 ) (30,000 ) Retained earnings (836,000 ) (216,000 ) Totals $ (1,920,000 ) $ (102,500 ) Assume that this combination is a statutory merger so that On-the-Go’s accounts will be transferred to the records of NewTune. On-the-Go will be dissolved and will no longer exist as a legal entity. Prepare a postcombination balance sheet for NewTune as of the acquisition date. Assume that no dissolution takes place in connection with this combination. Rather, both companies retain their separate legal identities. Prepare a worksheet to consolidate the two companies as of the combination date. Assume that this combination is a statutory merger so that On-the-Go’s accounts will be transferred to the records of NewTune. On-the-Go will be dissolved and will no longer exist as a legal entity. Prepare a postcombination balance sheet for NewTune as of the acquisition date. NEWTUNE COMPANY AND ON-THE-GO, INC. Post-Combination Balance Sheet January 1, 2018 Assets Liabilities and Stockholders' Equity Cash Accounts payable Receivables Notes payable Trademarks Common stock Record music catalog Additional paid-in capital Research and development asset Retained earnings Equipment Goodwill Total assets $0 Total liabilities and equities $0 Assume that no dissolution takes place in connection with this combination. Rather, both companies retain their separate legal identities. Prepare a worksheet to consolidate the two companies as of the combination date. (For accounts where multiple consolidation entries are required, combine all debit entries into one amount and enter this amount in the debit column of the worksheet. Similarly, combine all credit entries into one amount and enter this amount in the credit column of the worksheet.) Show less NEWTUNE COMPANY AND ON-THE-GO, INC. Consolidation Worksheet January 1, 2018 Consolidation Entries Accounts Newtune Co On-the-Go, Inc. Debit Credit Consolidated Totals Cash Receivables Investment in On-the-Go Trademarks Record music catalog Research and development asset Equipment Goodwill Total assets $0 $0 $0 Accounts payable Notes payable Common stock Additional paid-in capital Retained earnings Total liabilities and equities $0 $0 $0 $0 $0

Find the critical numbers of the function.

1. g(y) = (y-1)/(y^2-y+1)

2. h(t) = t^3/4 - 2t^1/4

3. F(x) = (x^4/5)*(x-4)^2

4. f(x) = 2cos(x)+sin^2(x)

A firm has the following long run production function x = a(K^1/2)(L^1/2)(P^1/4), where a > 0 is a constant and K, L , P are inputs of the three factors. The prices of K, L , P are Rs. 1 , Rs. 9 and Rs. 8 respectively.

a) Derive the firm’s long run total cost function , long run average cost function and long run marginal cost function. Show the workings in detail

b) In the short run P is fixed and K and L are variable. Derive the firms short run a) Total Cost Function b) Variable Cost Function c) Average Variable Cost Function d) Marginal Cost Function.

c) Obtain an equation of the form P = f(x) showing the optimum quantity of the fixed factor P for the firm to acquire as a function of the intended output x.