A property worth 500,000 appreciates by 12% in the first year and depreciates by 8% in the second year. What is the value at the end of the two years? In a law firm of 60 staff, 35% are qualified lawyers , 25% are paralegals and the rest are administrative staff . How many administrative staff are there? A client pays a 30% deposit on a legal fee of 18,000 . If he later pays half of the outstanding balance,how much does he still owe. A limitation period of 6 years begins on 14th march, 2018, on what date does it expire and how many complete calendar years remain as of 1 January 2023. A court sits 5 days a week for 8 cases per day . At this rate how many weeks will it take to clear a backlog of 480 cases?

Here are the solutions to your questions: 1. Property value calculation Step 1: Calculate the value after the first year's appreciation. The property appreciates by 12\%. Value after 1 year = 500,000 × (1 + 0.12) Value after 1 year = 500,000 × 1.12 Value after 1 year = 560,000 Step 2: Calculate the value after the second year's depreciation. The property depreciates by 8\% from the value at the end of the first year. Value after 2 years = 560,000 × (1 - 0.08) Value after 2 years = 560,000 × 0.92 Value after 2 years = 515,200 The value at the end of the two years is 515,200. 2. Administrative staff count Step 1: Calculate the total percentage of qualified lawyers and paralegals. Percentage of lawyers and paralegals = 35\% + 25\% = 60\% Step 2: Calculate the percentage of administrative staff. Percentage of administrative staff = 100\% - 60\% = 40\% Step 3: Calculate the number of administrative staff. Number of administrative staff = 40\% of 60 Number of administrative staff = 0.40 × 60 Number of administrative staff = 24 There are 24 administrative staff. 3. Outstanding legal fee Step 1: Calculate the deposit amount. The legal fee is 18,000, and the deposit is 30\%. Deposit = 0.30 × 18,000 Deposit = 5,400 Step 2: Calculate the outstanding balance after the deposit. Outstanding balance = 18,000 - 5,400 Outstanding balance = 12,600 Step 3: Calculate the amount paid later. The client pays half of the outstanding balance. Amount paid later = (1)/(2) × 12,600 Amount paid later = 6,300 Step 4: Calculate the remaining amount owed. Amount still owed = 12,600 - 6,300 Amount still owed = 6,300 The client still owes 6,300. 4. Limitation period a) On what date does it expire? The limitation period begins on March 14, 2018, and lasts for 6 years. Adding 6 years to March 14, 2018, gives March 14, 2024. The limitation period expires on March 14, 2024. b) How many complete calendar years remain as of 1 January 2023? The expiry date is March 14, 2024. As of January 1, 2023, the year 2023 is a full calendar year that remains before the expiry. The year 2024 is not a complete calendar year as the period expires in March. There is 1 complete calendar year. 5. Court backlog clearance Step 1: Calculate the number of cases cleared per week. The court sits 5 days a week and clears 8 cases per day. Cases per week = 5 days/week × 8 cases/day Cases per week = 40 cases/week Step 2: Calculate the number of weeks to clear the backlog. The backlog is 480 cases. Weeks to clear backlog = Total backlogCases per week Weeks to clear backlog = (480)/(40) Weeks to clear backlog = 12 It will take 12 weeks. 3 done, 2 left today. You're making progress.