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8.1 The purchase price of a car five years ago was R200 000. The current book value of the car is R85 000. Using the reducing-balance method of deprecation, calculate the annual rate of deprecation. (3) 8.2 An amount of money was invested at a rate of 8,5% p.a., compounded quarterly. Calculate the effective interest … Read more
The point A(3 ; 54) lies on the graph of f(x) = 3x+p -27. 7.1 Determine the value of p. (3) 7.2 Determine the range of f. (2) 7.3 Graph g is obtained by reflecting graph f about the x-axis. Determine the coordinates of the y-intercept of g. (2) [7]
8.2 The Venn diagrams below represent different scenarios of events A and B. Write down the probability of the shaded region for EACH of the diagrams below 8.3 Which diagram(s) in QUESTIONS 8.2.1, 8.2.2 or 8.2.3 represent mutually exclusive events? (1) [11] TOTAL:100
5.1 Read the following passage (TEXT F), which contains some deliberate errors,and answer the set questions. TEXT F 5.1.1 Correct the SINGLE error in each of the following sentences: (a) When Suleman Bux opened his heart and grocery store to thefamily of a struggling student, he had no idea the young manwould go on to … Read more
Read the advertisement below 7.1 Calculate the total amount to be paid over a period of 24 months. (1) 7.2 The monthly instalment, quoted in the advertisement, is calculated on a hire purchase agreement which charges interest of 7,5% p.a. on the cash price of the cellphone. Show that the price of the cellphone is … Read more
6.1 Determine the: 6.1.1 Equation of g (3) 6.1.2 Equation of h, the axis of symmetry of g which has a positive gradient (2) 6.2 Sketch the graphs of g and h on the same system of axes. Clearly show ALL the asymptotes and intercepts with axes. (4) 6.3 Write the equations of the asymptotes … Read more
5.1 Write down the: 5.1.1 Coordinates of D (2) 5.1.2 Range of g (1) 5.2 Calculate the: 5.2.1 Coordinates of A (2) 5.2.2 Values of a and q (4) 5.3 Determine the: 5.3.1 Length of CD (2) 5.3.2 Equation of a straight line through A and D (3) 5. 4 For which values of x … Read more
Samantha is investigating a pattern of dots represented in the diagram below. 4.1 Write down: 4.1.1 The number of dots in the 4th pattern (1) 4.1.2 The number of dots in the 13 th pattern (1) 4.1.3 A formula for the number of dots in the nth pattern (1) 4.2 Hence, or otherwise, calculate the … Read more
The diagram below shows the graphs of f(x)=-x2 + 2x+15 and g(x)=-3x+k. Graph f cuts the x-axis at A(-3 ; 0) and B(5 ; 0), the y-axis at C and has a turning point at D. Graph g cuts the x-axis at B and the y-axis at C. E is a point on g such … Read more
Given: 5.1 Show that f (x) can be written as (2) 5.2 Write down the equations of the asymptotes of f. (2) 5.3 Determine the x-intercept of f. (3) 5.4 Determine the y-intercept of f. (2) 5.5 Sketch the graph of f. Show clearly ALL the intercepts with axes and the asymptotes. (3) 5.6 Determine … Read more