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Calculate Mary's total earnings including commission and find the sum of June and Peter's ages given June's age is 12.
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4 partsStep-by-step solution
3 stepsHere are the solutions for questions 44, 45, 46, and 47.
Part 44· 3 steps
Calculate the sales amount on which commission is paid.
Commission is paid on sales above KSh 50,000.
Calculate the commission earned.
Commission rate is 15%.
Calculate Mary's total earnings for the month.
Total earnings = Fixed monthly salary + Commission
Mary earned that month.
Part 45
Let June's age be .
Peter is twice as old as June, so Peter's age is .
Part a3j
Write an expression for the sum of their ages.
The expression for the sum of their ages is .
Part b
Work out the sum of their ages if June's age is 12 years.
Substitute into the expression from part (a).
The sum of their ages is .
Part 46
Since the diagram is not fully visible, I will assume a standard configuration for parallel lines intersected by a transversal, where the angle is an acute angle in the upper-left position of the top intersection.
Let the angle be .
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Angle A: Assume A is the angle adjacent to on a straight line.
Reason: Angles on a straight line sum to .
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Angle B: Assume B is the corresponding angle to .
Reason: Corresponding angles are equal when lines are parallel.
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Angle C: Assume C is the co-interior angle with .
Reason: Co-interior angles (consecutive interior angles) sum to when lines are parallel.
The values are .
Part 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:
- Join point A to point B.
- Join point B to point C.
- Join point C to point D.
This will form a path on the graph.
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