3. Determine the total non-controlling interest that will be reported on the consolidated balance sheet on December 31, 2014. How does the non-controlling interest differ between the cost method and the equity method? EXERCISE 4-5 Eliminating Entries, Non-controlling Interest LO 2On January 1, 2014, Plate Company purchased a 90% interest in the common stock of Set Company for$650,000, an amount $20,000 in…
Exercise 4.4.2. (a) Is f(x) = 1/x uniformly continuous on (0, 1)?
(b) Is g(x) = √ (x ^2 + 1) uniformly continuous on (0, 1)?
(c) Is h(x) = x sin(1/x) uniformly continuous on (0, 1)?
Exercise 4.4.3. Show that f(x) = 1/x 2 is uniformly continuous on the set [1,∞) but not on the set (0, 1].
Exercise 4.4.4. Decide whether each of the following statements is true or false, justifying each conclusion.
(a) If f is continuous on [a, b] with f(x) > 0 for all a≤x≤b, then 1/f is bounded on [a, b] (meaning 1/f has bounded range).
(b) If f is uniformly continuous on a bounded set A, then f(A) is bounded.
(c) If f is defined on R and f(K) is compact whenever K is compact, then f is continuous on R. Exercise
4.4.5. Assume that g is defined on an open interval (a, c) and it is known to be uniformly continuous on (a, b] and [b, c), where abc. Prove that g is uniformly continuous on (a, c).
Exercise 4.4.6. Give an example of each of the following, or state that such a request is impossible. For any that are impossible, supply a short explanation for why this is the case.
(a) A continuous function f : (0, 1)→R and a Cauchy sequence (x n) such that f(x n) is not a Cauchy sequence;
(b) A uniformly continuous function f : (0, 1)→R and a Cauchy sequence (x n) such that f(x n) is not a Cauchy sequence;
(c) A continuous function f : [0,∞)→R and a Cauchy sequence (x n) such that f(x n) is not a Cauchy sequence;
question 53. If A, B, and C are (nxn) matrices such that A is nonsingular and AB = 0, then prove that B = 0
exercise .]47 . VI =[ABI . …. AB, ]. ]of vectors . [ H .every choice of bin R~ – 1Oeither Eq . ( 5 ) or Eq. ( 6 ) . ) ]|93 V 3 = A and consider $ 70 . ]V 2 + V 3 ) is also linearly independent .V 2 = 150 . If the set ( VI, V2 , V3 ) of vectors in RM is linearly148 . Let’s = ( VI , V 2 , V 3 ) be a set of vectors in R’, where49. Let (VI, V2, V3 ) be a set of nonzero vectors in RM152 . If A and B are ( ~ X ~`) matrices such that A is non -151. Suppose that ( Vi, V2, V 3 ) is a linearly independent53 . If A, B, and Care ( n X ~ ) matrices such that A is14 . Let A = [A] . … . An – 1] bean ( n x ( 1 – 1 ) matrix.. Suppose that C and B are ( 2 X 2 ) matrices and theis linearly independent . [Hint : Set aIV , + az V 2 +dependent , then argue that the set ( V 1 , V2 , V3 , VAJ issuch that V! V ; = 0 when i * j. Show that the setalso linearly dependent for every choice of VA in RM.V1 = Q. Show that ‘S is a linearly dependent setsubset of RM. Show that the set ( V 1 , V , + V2, VIt[Hint : Write B = [BY . …. BJ and consider AB =singular and AB = O, then prove that B = O.Show that B = [A] . … . An – 1, Ab] is singular fononsingular and AB = AC , then prove that B _ C.[ Hint : Consider A ( B – C ) and use the preceding|Hint : Exhibit a nontrivial solution for` V 3 =[1. 1 sturgis
Exercise 4, Week #4 – Part 2 – Memo to Boss (International Business Customs)
Using the international business customs information you researched and posted in Week #3 (Ex. #3), write that memo to your boss about what he or she needs to know for an upcoming trip to that country. You should be able to access the notes you posted in Part 1 as background. Make it clearcut and easy to follow; i.e., perhaps the boss will be referring to it via his or her Smartphone while there, so maybe use bullet points or categories. Refer to Ch. 5, which also contains some very useful data about International Business Correspondence–see pp. 169-180.
Remember, these are tips that can make or break that person’s trip–being politically correct is extremely important in international business, as well as elsewhere.
Here are some examples of business memo format templates (copy the link and paste it into a new browser):
http://bit.ly/2dJrA35
Originally, that link was actually huge, but the folks in the Instructional Technology Group helped me create a shortened web address. If you’re having issues in Drexel Learn, they can help you, too! Click the Tech Support tab above (shown along the top of the page in the dark-blue area) to find their contact info.
Exercise 4 (Investment portfolio) George Johnson would like to set up a trust fund for his two children. The trust fund has two investment options: 1. a bond fund and 2. a stock fund. The projected returns over the life of the investments are 6% for the bond fund and 10% for the stock fund. To reduce the risk resulted from market volatility, he wants to invest at least 30% of the entire amount of trust fund in the bond fund. In addition, he wants to select a portfolio that will enable him to obtain a total return of at least 7.5%. A. Formulate a linear program that can be used to determine the percentage allocation to the bond fund and stock fund. The objective of the problem is to maximize the expected total portfolio return. B. Solve the problem using the graphical solution procedure. Find out the optimal percentage allocations and the optimal total portfolio return.
Exercise 4 (Investment portfolio)George Johnson would like to set up a trust fund for his two children. The trust fund hastwo investmentoptions: 1. a bond fund and 2. a stock fund. The projected…
Exercise 4: Given that main memory is composed of three page frames for public use and that a seven-page program (with pages a, b, c, d, e, f, g) requests pages in the following order: a, b, a, c, d, a, e, f, g, c, b, g
Need help understanding and intuition behind this problem and how to solve:
EXERCISE #4: A 5-year 4% A—rated corporate bonds yield to maturity is 6%. [Assumeannual or semiannual.] Quoted Price = …………………………The bond gets downgraded to 33-. It’s yield is likely to be …………………… than 4% andlowerlhigher ………………… than 6%, and the price is likely to be thanlower/higher less/greater QPrice
information for the question is on the second image
Exercise 4-8 (Part Level Submission)Plevin Company ended its fiscal year on July 31, 2015. The company’s adjusted trial balance as of the end of its fiscal year is as shown below. PLEVIN COMPANYAdjusted Trial Balance July 31, 2015 101 Cash $9,417112 Accounts Receivable 8,976157 Equipment 16,130158 Accumulated Depreciation—Equip. $7,954201 Accounts Payable 4,940208 Unearned Rent Revenue 2,130311 Common Stock 17,482320 Retained Earnings 26,034332 Dividends 15,623400 Service Revenue 63,791429 Rent Revenue 6,900711 Depreciation Expense 8,161726 Salaries and Wages Expense 56,096732 Utilities Expense 14,828 Total $129,231 $129,231
Exercise 4-7
Victoria Lee Company had the following adjusted trial balance.
VICTORIA LEE COMPANY
Adjusted Trial Balance
For the Month Ended June 30, 2017
Adjusted Trial Balance
Account Titles
Debit
Credit
Cash$3,630Accounts Receivable3,960Supplies500Accounts Payable$1,900Unearned Service Revenue130Owner’s Capital4,130Owner’s Drawings480Service Revenue5,540Salaries and Wages Expense1,200Miscellaneous Expense340Supplies Expense1,990Salaries and Wages Payable 400$12,100$12,100
Prepare closing entries at June 30, 2017. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)
No.
Account Titles and Explanation
Debit
Credit
1.
(To close revenue account)
2.
(To close expense accounts)
3.
(To close net income / (loss))
4.
(To close drawings)
Let (X, dX) and (Y, dY ) be metric spaces, and let f : X → Y be continuous. Define the distance d on the product space X × Y as in class, so that (X × Y, d) is a metric space. Show that the graph Γf of f, defined by Γf = {(x, y) ∈ X × Y | f(x) = y}, is a closed subset of X × Y .
Exercise 4 ( 6 points ) . Let ( * 1 , di ) . …. ( * n , An ) be metric spaces and let * _ _ Xi. EquipI with a metric the way seen in class . Let ( ack ) & C X. For all KE N we can write ack( OCK, 1 , *Ck, 2 1 … . 2 kin ) , where for each it [ ] . …. ~’ the number ack.; E X; is the ith coordinate of ack`Let a = ( a1 , 02 . … . an ) EX.Prove that limk ack = a if and only if limk ack,; – di for all it , …. ~ ].
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