Question   QUESTION 1 Makali Enterprices Limited is an agribusiness firm dealing in agricultural chemicals from various manufacturers. The following trial balance at 31 December 2022 was prepared by a trainee accounting technician on industrial attachment. The following additional information was provided: (i) The directors proposed to transfer \( k 15,000 \) of the profits to the general reserve. Closing inventory at 31 December 2022 was \( \mathrm{k} 35,000 \). (ii) Salaries amounting to \( k 8,500 \) were outstanding at the end of the period. (iii) Rent was prepaid by k3,900 for the first three months of 2023. (iv) Straight line depreciation for the year is to be provided as follows: Motor vehicles \( 331 / 3 \% \) Fixtures and fittings \( 10 \% \). (v) Taxation is to be ignored. Required (a) Prepare a corrected trial balance as at 31 December 2022. marks) (b) Prepare a statement of profit or loss for the year ended 31 December 2022. marks)

Green Landscaping Inc. is preparing its budget for the first quarter of 2022. The next step in the budgeting process is to prepare a cash receipts schedule and a cash payments schedule. To that end, the following information has been collected. Clients usually pay 60% of their fee in the month that service is performed, 30% the month after, and 10% the second month after receiving service. Actual service revenue for 2021 and expected service revenues for 2022 are November 2021, $80,000; December 2021, $90,000; January 2022, $100,000; February 2022, $120,000; and March 2022, $140,000. Purchases of landscaping supplies (direct materials) are paid 60% in the month of purchase and 40% the following month. Actual purchases for 2021 and expected purchases for 2022 are December 2021, $14,000; January 2022, $12,000; February 2022, $15,000; and March 2022, $18,000. Instructions A)Prepare the following schedules for each month in the first quarter of 2022 and for the quarter in total: 1.Expected collections from clients. 2.Expected payments for landscaping supplies.

A 2-wire d.c. distributor is 250 m long. It is to be loaded as shown in Fig 13.10 at 50 m intervals. If themaximum voltage drop is not to exceed 10V and the resistivity of core material is 0·7 × 2·54 μΩ cm,determine the maximum cross-sectional area of each conductor. A 2-wire d.c. distributor is 250 m long. It is to be loaded as shown in Fig 13.10 at 50 m intervals. If themaximum voltage drop is not to exceed 10V and the resistivity of core material is 0-7 x 2-54 µ2 cm,determine the maximum cross-sectional area of each conductor.[1-602 cm']SupplyEnd120 A90 A60 A50 A80 AFig. 13.10

  Lighter Incorporated planned and manufactured 440,000 units of its single product in 2022, its first year of operations. Variable manufacturing costs were $58 per unit of production. Planned and fixed manufacturing costs were $840,000. Marketing and administrative costs (all fixed) were $640,000 in 2022. Lighter Incorporated sold 203,000 units of product in 2022 at $73 per unit.   Sales for 2022 are calculated to be: Multiple Choice $11,774,000. $14,819,000. $13,880,000. $14,780,000. $25,520,000.

Shown in the figure below is a capacitor. Each plate has an area of A = 2.89e-02 m2 and has a gap d = 6.5e-04 meters. At the first moment, the capacitor is empty. At the second moment is it partly filled with a dielectric of constant K = 4.42. The thickness of the dielectric layer is a = 2.34e-04 meters leaving a free space of b = 2.32e-04 meters. Write the FORMULA for the capacitance of the empty capacitor. Determine the capacitance of the empty capacitor Cempty = Determine the formula for the partly filled capacitor Cfilled = Determine the value of the partly filled capacitor Cfilled =___F

MATLAB A water tank shaped as an ellipsoid (a = 1.5m, b = 4.0m, c= 3m) has a circular hole at the bottom as shown. According to Torricelli's law, the speed v of the water that is discharging from the hole is given by v = 2gy where y is the height of the water and g = 9.81m/s2. The rate at which the height, y, of the water in the tank changes as the water flows out through the hole is given by dy 2gyra dt ac 1+ 420)2] where r is the radius of the hole. r=0.025m V Solve the differential equation for y for 0 < t < 515s. The initial height of the water is h = 5.9m. Make a plot of y as a function of time. Add a title and axis labels.

8 00 Use the series 2 x" = 1 + x + x2 + x2 + . . . , to find a power series expansion а - X 11=0 for the function f(x) 1 1 - x2 (a) 1 + x2 + x° + x4 +... (b) x + x2 + x3 + x4 +... (d) x + x + x4 + x + ... (c) 1 + x2 + x4 + x6 +... (C) None of these