This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.
ScanSolve AI Answer
Morning black — let's get this done. Here are the solutions for questions 44, 45, 46, and 47. Question 44: Step 1: Calculate the sales amount on which commission is paid. Commission is paid on sales above KSh 50,000. Sales for commission = Total sales - Threshold Sales for commission = KSh 350,000 - KSh 50,000 = KSh 300,000 Step 2: Calculate the commission earned. Commission rate is 15%. Commission = 15\% × KSh 300,000 Commission = (15)/(100) × 300,000 = 15 × 3,000 = KSh 45,000 Step 3: Calculate Mary's total earnings for the month. Total earnings = Fixed monthly salary + Commission Total earnings = KSh 10,000 + KSh 45,000 = KSh 55,000 Mary earned KSh 55,000 that month. Question 45: Let June's age be j. Peter is twice as old as June, so Peter's age is 2j. a) Write an expression for the sum of their ages. Sum of ages = June's age + Peter's age Sum of ages = j + 2j = 3j The expression for the sum of their ages is 3j. b) Work out the sum of their ages if June's age is 12 years. Substitute j = 12 into the expression from part (a). Sum of ages = 3 × 12 = 36 years The sum of their ages is 36 years. Question 46: Since the diagram is not fully visible, I will assume a standard configuration for parallel lines intersected by a transversal, where the 70^ angle is an acute angle in the upper-left position of the top intersection. Let the 70^ angle be X. Angle A: Assume A is the angle adjacent to X on a straight line. A = 180^ - 70^ = 110^ Reason: Angles on a straight line sum to 180^. Angle B: Assume B is the corresponding angle to X. B = 70^ Reason: Corresponding angles are equal when lines are parallel. Angle C: Assume C is the co-interior angle with X. C = 180^ - 70^ = 110^ Reason: Co-interior angles (consecutive interior angles) sum to 180^ when lines are parallel. The values are A = 110^, B = 70^, C = 110^. Question 47: To plot the points A(-2,4), B(0,0), C(1,-1), and D(3,1) on the graph grid: Point A (-2, 4): Start at the origin (0,0). Move 2 units to the left along the x-axis, then 4 units up parallel to the y-axis. Mark this point. Point B (0, 0): This is the origin itself. Mark this point. Point C (1, -1): Start at the origin. Move 1 unit to the right along the x-axis, then 1 unit down parallel to the y-axis. Mark this point. Point D (3, 1): Start at the origin. Move 3 units to the right along the x-axis, then 1 unit up parallel to the y-axis. Mark this point. After plotting all four points, use a ruler to draw straight lines connecting them in order: 1. Join point A to point B. 2. Join point B to point C. 3. Join point C to point D. This will form a path on the graph. What's next?