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Question 4 (38 marks) The following trial balance was extracted from the books of McDowell Limited as at 31 December 2024: Debit Credit $ $ Inventory as at 1 January 2024 22,400 Share Capital as at 1 January 2024 35,390 Bad debts 160 Donations 2,300 Returns 1,100 1,720 Technical support 10,000 Costs of transportation-in 270 Trade receivables and payables 30,000 20,000 Allowance for doubtful accounts 750 Furniture at cost 14,000 Accumulated depreciation of furniture, at 1 January 2024 3,500 Motor expenses 3,500 General expenses 1,300 Purchases and sales 25,000 100,000 Salaries and wages 980 Dividend revenue 1,250 Office rent revenue 10,800 Cash at bank 28,000 Cash in hand 10,600 Bank loan 30,000 Stationery and postage 2,600 Motor vans at cost 80,000 Accumulated depreciation of motor vans, at 1 January 2024 28,800 232,210 232,210 Additional information: i. Inventory as at 31 December 2024 amounted to $31,850. ii. Accumulated depreciation of furniture and motor vans are 10% p.a. on cost and 20% on remaining book value respectively. iii. Allowance for doubtful accounts was 4% on net trade receivables. iv. On 1 January 2024, the company has paid for insurance $9,000 by cheque for one and a half year. No record had been made. V. Prepayments as at 31 December 2024: technical support $4,000, stationery and postage $380. vi. Accruals as at 31 December 2024: costs of transportation-in $155, motor expenses $1,000, office rent revenue $3,600.

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a. Electric and magnetic (60 µT in the x-direction) fields are adjusted such that an electron emerges with a constant velocity of 51.2×10³ m/s. (i) Define a coordinate system and sketch the situation of the velocity, E- and B-fields. You will have to make some assumptions. (ii) What is the strength of the electric field? The electron continues moving and enters a new region where a different magnetic field forces the electron to follow a helical trajectory. The electron enters the new magnetic field region at an angle of 30.0° relative to the incoming velocity and has a cyclotron period of 3 μs. b. What is the (iii) strength of the new magnetic field, (iv) radius of rotation and the (v) pitch of the helical trajectory? c. Describe the trajectory of the electron.

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Ionic Bonding is expected in which of these substances? Select all that apply Question 30 options: NO2 KBr OF2 CF4 Cl2 Na2O

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Enzyme kinetics, TCA Cycle, Glycolysis 1. Enzyme kinetics a) Sketch a kinetic plot (velocity vs. [S]) for an enzyme that follows Michaelis-Menten kinetics with a $K_m$ of 5 µM and a $V_{max}$ of 20 μΜ/s. Label this curve as "no inhibitor." V, uM/s 20 15- 10- 5- +0 0 10 20 30 40 50 60 70 80 90 100 [S], uM b) If the $K_m$ and $V_{max}$ values given in part (a) were measured at an enzyme concentration of 1 nM, what is the $k_{cat}$ of this enzyme? c) On the same plot in part (a), sketch how the kinetic curve for this enzyme might look in the presence of a competitive inhibitor. Label this curve as "competitive inhibitor" d) On the same plot in part (a), sketch how the kinetic curve for this enzyme might look in the presence of a pure noncompetitive inhibitor. Label this curve as "noncompetitive inhibitor"

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What protein forms clumps in the brain cell called Lewy bodies, causing Lewy body desease?

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All of the following present challenges to policy makers who want to limit the market power arising from network externalities EXCEPT which one? Policy interference in the market can easily lead to a natural monopoly. Poorly implemented regulation of dominant firms can stifle innovation. Welfare will be reduced if a dominant firm is split into smaller firms with smaller networks. If the dominant firm is split into smaller firms, over time the problem of market power would reappear as consumers migrate to the firm with the larger network.

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2. Consider a one-dimensional system with concentration of chemical species A that varies with z. You can think of a thin membrane that is uniform in the \(x\) and \(y\)-directions but separates two reservoirs with different concentrations of A in the \(z\) direction. Assume the membrane is \(L = 1\) cm thick, with the concentration varying from \(z = 0\) to \(z = 1\) cm. Assume the diffusion coefficient of A is \(D = 1\) cm²/s. Calculate \(J_z\) and \(\partial c_A/\partial t\) as a function of \(z\) using Fick's laws for each of the following concen- tration profiles. Obtain the analytical results and plot the concentration profiles, \(J_z\), and \(\partial c_A/\partial t\). (a) \(c_A(z) = c_0 \left(1 - \frac{z}{L}\right)\) (b) \(c_A(z) = c_0 \left(1 - \frac{z}{L}\right)^{1/2}\)

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If an electron in an atom travels from n=5 to n=2, Select one: ? a. the atom will release energy by emitting a photon of light ? b. the atom will absorb energy and emit a photon of light ? c. the atom will absorb energy to become an atom in the excited state ? d. the atom will both absorb and release energy as it absorbs a photon of light

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4. An investor forms a portfolio out of two risky assets. The correlation coefficient between these two assets is 1. Which of the following statements is true? A. There are diversification benefits: the portfolio standard deviation is lower than the weighted average standard deviations of the two risky assets. B. There are no diversification benefits: the portfolio standard deviation is higher than weighted average standard deviations of the two risky assets. C. There are no diversification benefits: the portfolio standard deviation is the same as the weighted average standard deviations of the two risky assets. D. There are diversification benefits: the portfolio standard deviation is higher than the weighted average standard deviations of the two risky assets. 5. Which of the following statements is true regarding the asset allocation problem? A. The optimal risky portfolio has the smallest standard deviation. B. The optimal risky portfolio has the highest expected return. C. The optimal risky portfolio has the highest Sharpe ratio. D. All investors will put 100% of their portfolio wealth in the optimal risky portfolio

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The direction of the transmission axis of three polarizing filters is shown relative to the common vertical direction. A beam of unpolarized light is incident from the left on the first filter with intensity I = 100 W/m^2. Calculate the transmitted intensity I when θ = 20.0°, θ = 45.0°, and θ = 90.0°.

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