Given P(2, 5) and the translation vector r = -3 8 .

Here are the solutions for questions 2 and 3. 2a) i) Step 1: Identify the coordinates of point P and the translation vector r. Given P(2, 5) and the translation vector r = -3 \\ 8 . Step 2: Add the components of the vector to the coordinates of point P to find the image P'. P' = (2 + (-3), 5 + 8) P' = (2 - 3, 13) P' = (-1, 13) The image of P(2, 5) is: P'(-1, 13) ii) Step 1: Identify the coordinates of point Q and the translation vector r. Given Q(-4, -6) and the translation vector r = -3 \\ 8 . Step 2: Add the components of the vector to the coordinates of point Q to find the image Q'. Q' = (-4 + (-3), -6 + 8) Q' = (-4 - 3, 2) Q' = (-7, 2) The image of Q(-4, -6) is: Q'(-7, 2) 2b) Step 1: Calculate Richard's share as a manager. Total profit = GH¢ 9,000.00. Richard's manager share = (1)/(3) × GH¢ 9,000.00 = GH¢ 3,000.00. Step 2: Calculate the remaining profit to be shared based on contributions. Remaining profit = Total profit - Richard's manager share Remaining profit = GH¢ 9,000.00 - GH¢ 3,000.00 = GH¢ 6,000.00. Step 3: Determine the ratio of contributions and the total ratio parts. Joyce's contribution = GH¢ 10,000.00. Richard's contribution = GH¢ 5,000.00. Ratio of contributions (Joyce : Richard) = 10,000 : 5,000 = 2 : 1. Total ratio parts = 2 + 1 = 3. i) Step 4: Calculate Joyce's share from the remaining profit. Joyce's share = (2)/(3) × GH¢ 6,000.00 = GH¢ 4,000.00. Joyce received: GH¢ 4,000.00 ii) Step 5: Calculate Richard's share from the remaining profit. Richard's share = (1)/(3) × GH¢ 6,000.00 = GH¢ 2,000.00. Step 6: Calculate Richard's total earnings. Richard's total earnings = Richard's manager share + Richard's share from remaining profit Richard's total earnings = GH¢ 3,000.00 + GH¢ 2,000.00 = GH¢ 5,000.00. Richard received in total: GH¢ 5,000.00 3a) Step 1: Calculate the new daily wage after the increase. Original daily wage = GH¢ 25.00. Increase = 10\% of GH¢ 25.00 = 0.10 × GH¢ 25.00 = GH¢ 2.50. New daily wage = GH¢ 25.00 + GH¢ 2.50 = GH¢ 27.50. Step 2: Calculate the total amount Asana will be paid. Number of days worked = 30 days. Total amount paid = New daily wage × Number of days worked Total amount paid = GH¢ 27.50 × 30 = GH¢ 825.00. Asana will be paid: GH¢ 825.00 3b) Step 1: Determine the missing dimensions of the floor plan. The total length of the top side is 8 m. The bottom right segment is 3 m. The missing bottom left segment is 8 m - 3 m = 5 m. The total height of the left side is 5 m. The right vertical segment is 3 m. The missing inner vertical segment is 5 m - 3 m = 2 m. i) Step 2: Calculate the perimeter of the floor. The perimeter is the sum of all outer sides: 8 m + 5 m + 3 m + 2 m + 5 m + 3 m. Perimeter = 8 + 5 + 3 + 2 + 5 + 3 = 26 m. The perimeter is: 26 m ii) Step 3: Calculate the area of the floor. Divide the shape into two rectangles. Rectangle 1 (top): 8 m × 3 m = 24 m^2. Rectangle 2 (bottom left): 5 m × 2 m = 10 m^2. Total Area = Area 1 + Area 2 = 24 m^2 + 10 m^2 = 34 m^2. The area is: 34 m^2 iii) Step 4: Calculate the cost of carpeting the floor. Cost per square metre = GH¢ 20.00. Total area = 34 m^2. Total cost = Total Area × Cost per square metre Total cost = $34 m^2 × GH¢ 20.0