Question please help me to solve it  a) Carter expects to live for 30 years more after his retirement. He would like to withdraw \( \$ 120,000 \) every year from his investment account (Account A) to pay for his living expenses. Carter's investment account (Account A) pays \( 5 \% \) interest per year. How much money (a lump-sum) will Carter required to deposit in Account \( \mathrm{A} \) at the beginning of his retirement (at age 60 ) to pay for his living expenses if (i) Account A start to pay interest one year after his retirement? ( 5 marks) (ii) Account A start to pay interest on the day of his retirement? (5 marks) [Hint: The total deposit that Carter made at the beginning of his retirement in Account A should be the same as the amount required to provide for the monthly living expenses during his retirement years.] b) Continued with part (aii). Suppose Carter has just had his \( 35^{\text {th }} \) birthday today and decided to begin his retirement (exactly) 25 years from now, at his age of 60 . To ensure having sufficient funds to meet his goal, Carter plans to start depositing a fixed amount at the end of every month to a retirement savings account (Account B) that pays an interest of \( 12 \% \), compounded monthly. The first deposit will be made today (on his \( 35^{\text {th }} \) birthday) and the last on his \( 58^{\text {th }} \) birthday. (i) Compute the size of the monthly deposit into Account B that will allow Carter to meet the financial goal of his retirement. ( 8 marks) (ii) If Carter is going to make one single (lump-sum) deposit into Account B on his \( 40^{\text {th }} \) birthday instead, how much will that be for him to achieve the goal? ( 2 marks)

Intel Inc is looking to acquire a new equipment for a project that will last for eight years. The after-tax required rate of return of the project is 12% per annum. Intel can borrow at a before-tax interest rate of 9% per annum and buy the equipment outright or lease the equipment from ABC's Leasing. The applicable corporate tax rate is 30% and the equipment will be fully depreciated to zero over the eight years using a straight-line method. Intel evaluated the lease and decided to buy the equipment by borrowing since the NPV of lease versus borrow-to-buy analysis was estimated to be - $13,000. However, subsequently Intel realised that in the analysis the purchase cost of the equipment had been under-estimated by $15,000, and also the salvage value of the equipment (at the end of the lease term) had been under-estimated by $6,000. Given the correct purchase price and salvage value, which of the following statements now accurately describes Intel's decision regarding the acquisition of this equipment?

A 181 ‑turn circular coil of radius 2.03 cm and negligible resistance is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. The coil is connected to a 16.5 Ω resistor to create a closed circuit. During a time interval of 0.135 s, the magnetic field strength decreases uniformly from 0.627 T to zero. Find the energy 𝐸 in millijoules that is dissipated in the resistor during this time interval.

The following equations describe the variation of pressure p with veloci 0 p + A og V-2 = X (i) p + B g pv = Y (iii) p + CPV 2 = Z where, A, B, and C are dimensionless constants. X, Y, and Z are values with the same dimensions as pressure, g is the acceleration due to gravity, p is the density of the liquid, and o is the surface tension of the liquid. Which equations are dimensionally homogeneous? 2:33 PM

solve using Buckingham-pi Theorem 8-19. The force of buoyancy F is a function of the volume +of a body and the specific weight y of the fluid. Determine how F is related to ť and y.

The table below shows the monthly cost of producing vintage model cars for collectors for quantities O, 100, 200, and 500. Complete the table by filling in the average fixed cost, average variable cost, and average total cost. Instructions: Round your answers to 2 decimal places. Average Fixed Cost (dollars) Average Variable Cost (dollars) Average Total Cost (dollars) Vintage Model Car Production Costs Total Fixed Total Variable Output Cost (dollars) Cost (dollars) 0 $1,500 $0 100 1,500 600 200 1,500 1,100 500 1,500 4,150 Total Cost (dollars) $1,500 2,100 2,600 5,650

Assume that in October 2022 the Schmidt Machinery Company (Exhibit 14.1) manufactured and sold 990 units for $705 each. During this month, the company incurred $415,800 total variable costs and $180,400 total fixed costs. The master budget data for the month are as given in Exhibit 14.1. Required: 1. Prepare a flexible budget for the production and sale of 990 units. 2. Compute for October 2022: a. The sales volume variance, in terms of operating income. Indicate whether this variance was favorable or unfavorable. b. The sales volume variance, in terms of contribution margin. Indicate whether this variance was favorable or unfavorable. 3. Compute for October 2022: a. The total flexible budget variance. Indicate whether this variance was favorable or unfavorable. b. The total variable cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. c. The total fixed cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. d. The selling price variance. Indicate whether this variance was favorable or unfavorable. Comparison of Actual and Budgeted Operating Income SCHMIDT MACHINERY COMPANY Analysis of Operating Income For October 2022 (1) Actual Operating Income (2) Master Budget (3) Variances Units 780 1,000 220 U* Sales $ 639,600 100% $ 800,000 100% Variable costs 350,950 55 450,000 56 $ 160,400 U 99,050 F** $ 61,350 U 10,650 U Contribution margin 45% 44% $ 288,650 160,650*** $ 350,000 150,000+ Fixed costs 25 19 Operating income $ 128,000 20% $ 200,000 25% $ 72,000 U *U denotes an unfavorable effect on operating income. **F denotes a favorable effect on operating income. ***Actual fixed factory overhead cost = $130,650; actual fixed selling and administrative costs = $30,000. Budgeted fixed factory overhead cost = $120,000; budgeted fixed selling and administrative costs = $30,000. Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Prepare a flexible budget for the production and sale of 990 units. Units sold ales Fixed costs Variable costs Required 1 Required 2 > Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Compute for October 2022: a. The sales volume variance, in terms of operating income. Indicate whether this variance was favorable or unfavorable. b. The sales volume variance, in terms of contribution margin. Indicate whether this variance was favorable or unfavorable. Show less A Sales Volume Variance Operating income Contribution margin < Required 1 Required 3 > Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Compute for October 2022: a. The total flexible budget variance. Indicate whether this variance was favorable or unfavorable. b. The total variable cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. c. The total fixed cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. d. The selling price variance. Indicate whether this variance was favorable or unfavorable. Show less a. The total flexible budget variance b. The total variable cost flexible budget variance c. The total fixed cost flexible budget variance d. The selling price variance < Required 2 Required 3