1. This case is used for questions 1 and 2. Bogart is a listed company that reports using IFRS and has a reporting date of 30 September 2020. Bogart purchased 18% of Lupin’s 100 million $1 ordinary shares for $43 million cash on 1 October 2018, gaining significant influence. Lupin had retained earnings of $85 million and no other components of equity, on the date of purchase. The investment in Lupin was accounted for correctly in Bogart’s individual financial statements for the year ended 30 September 2019, when Lupin had retained earnings of $150 million and no other components of equity. Bogart acquired control over Lupin on 1 October 2019, purchasing a further 67% of its ordinary shares. Cash consideration of $160 million was correctly included in calculating goodwill. Purchase consideration included 3 million of Bogart’s own $1 ordinary shares, with a fair value of $1.40 each. No accounting entries were posted for this share consideration. Bogart derecognized the carrying amount of the existing 18% holding in Lupin and included it in calculating the goodwill of the business combination. The carrying amount of the net assets of Lupin was also used in calculating goodwill. The fair value of the existing 18% holding was $73 million at 1 October 2019 and the fair value of the identifiable net assets of Lupin was $285 million. The excess of the fair value of net assets over the carrying amount was due to equipment with a remaining useful life of ten years. The fair value of the non-controlling interest in Lupin on 1 October 2019 was $63.8 million and was included in calculating goodwill.

Required:
Discuss the correct recognition and measurement of this business combination in the consolidated financial statements of Bogart, showing calculations. Explain any accounting errors made and show the accounting entries required to correct those errors.

Discuss, with calculations, how the purchase of the additional share capital in Lupin should be accounted for in the consolidated financial statements. Show the accounting entry required to correct any error.

Write a combinatorial proof for 1 n + 2 ( n − 1 ) + 3 ( n − 2 ) + ⋯ + ( n − 1 ) 2 + n 1 = ( n + 2 choose 3 ) .

6. The function f(t) =

0 for − 2 ≤ t < −1

−1 for − 1 ≤ t < 0

0 for t = 0

1 for 0 ≤ t < 1

0 for 1 ≤ t ≤ 2

can be extended to be periodic of period 4. (a) Is the extended function even, odd, or neither? (b) Find the Fourier Series of the extended function.(Just write the final solution.)

Two events ?1 and ?2 are defined on the same probability space such that: ?(?1 ) = 0.7 , ?(?2 ) = 0.5 , and ?(?1 ??? ?2 ) = 0.3. a) Find ?(?1 ?? ?2 ). b) Find ?(?1 | ?2 ). c) Are ?1 and ?2 mutually exclusive (disjoint)? and why? d) Are ?1 and ?2 independent? and why?

Consider a bargaining problem with two agents 1 and 2. There is a prize of $1 to be divided. Each agent has a common discount factor 0 < δ < 1. There are two periods, i.e., t ∈ {0, 1}. This is a two period but random symmetric bargaining model. At any date t ∈ {0, 1} we toss a fair coin. If it comes out “Head” ( with probability p = 1 2 ) player 1 is selected. If it comes out “Tail”, (again with probability 1 −p = 1 2 ), player 2 is selected. The selected player makes an offer (x, y) where x, y ≥ 0 and x + y ≤ 1. After observing the offer, the other player can either accept or reject the offer. If the offer is accepted the game ends yielding payoffs (δ tx, δt y). If the offer is rejected there are two possibilities:

• if t = 0, then the game moves to period t = 1, when the same procedure is repeated.

• if t = 1, the game ends and the pay-off vector (0, 0) realizes, i.e., each player gets 0.

(a) Suppose that there is only one period,i.e., t = 0. Compute the Subgame perfect Equilibrium (SPE). What is the expected utility of each player before the coin toss, given that they will play the SPE.

(b) Suppose now there are two periods i.e., t = 0, 1. Compute the Subgame perfect Equilibrium (SPE). What is the expected utility of each player before the first coin toss, given that they will play the SPE.

A sample proportion is calculated from a sample size of 132. How large of a sample would we need in order to decrease the standard error by a factor of 9?

Question 3 options:

A sample proportion is calculated from a sample size of 132. How large of a sample would we need in order to decrease the standard error by a factor of 9?

Question 3 options:

Approximately 32.31% of all businesses are owned by women. If you take a sample of 132 businesses in Michigan, what is the probability that less than 35.95% of them would be owned by women?

Question 4 options:

a. Given the​ holding-period returns shown in the popup​ window,

MONTH   ZEMIN CORP.   MARKET
1   5%   4%
2   4%   2%
3   0%   2%
4   -3%   -3%
5   4%   1%
6   1%   3%

compute the average returns and the standard deviations for the Zemin Corporation and for the market. b. If​ Zemin's beta is 1.79 and the​ risk-free rate is 8 ​percent, what would be an appropriate required return for an investor owning​ Zemin? ​(​Note: Because the returns of Zemin Corporation are based on monthly​ data, you will need to annualize the returns to make them compatible with the​ risk-free rate. For​ simplicity, you can convert from monthly to yearly returns by multiplying the average monthly returns by​ 12.) c. How does​ Zemin's historical average return compare with the return you believe to be a fair​ return, given the​ firm's systematic​ risk?

The following figure represents experimental results from study designed after the Beadle and Tatum experiment. Assume the mutants are homozygous for recessive alleles causing their phenotypes.

1.) ordered pathway for mutants and nutrients?

Ex: (Precursor ----M1----> Nut1 ----M2----> Nut2 ----M3---> Nut3 ----m4---> Nut4)

2.). If you crossed mutants 1 and 5, what would the nutrient requirements of the offspring be?

3.) . If you crossed mutants 1 and 4, what would the nutrient requirements of the F₁ be?

4.)If you conducted an F₁xF₁ cross of mutants 1 and 4, what would the phenotypic ratios of the F₂ be?

1.

Consider the following generic reaction:

2A + B + C -> 2D +3E

From the following initial rate determinations, write the rate law for the reaction, determine the overall order for the reaction and calculate the rate constant, k.

Initial rate [A] [B] [C]

1.27x10^-4 Ms^-1 0.0125M 0.0125M 0.0125M

2.56x10^-4 Ms^-1 0.0250M   0.0125M 0.0125M

1.27x10^-4 Ms^-1 0.0125M   0.0250M 0.0125M

5.06x10^-4 Ms^-1 0.0125M 0.0125M 0.0250M

2. Consider the following reaction and its rate law:

2N2O5 -> 4NO2 + O2; rate = k[N2O5]

At 25 degrees Celsius, the half-life for this reaction is 96.3 minutes; calculate the initial N2O5 concentration, [N2O5]o, if [N2O5] = 1.80x10^-2 M after 60.0 minutes when the reaction proceeds at 25 degrees Celsius.

This is a Matlab Question

Create MATLAB PROGRAM that can solve First Order Linear Differential Equation ( 1 example contains condition and the other does not have condition).

1. ty′ + 2y = t^2 − t + 1, y(1)=12

The correct answer is y(t) = 1/4 t^2 − 1/3 t + 1/2 + 1/12t^2

2. (x-1) dy/dx + 2y = (x+1)^2

The correct answer is y = (x(x+1) / x-1 ) + C(x+1) / x-1

The correct answer is