A salesman is paid commission of £10 per week for each life insurance policy that he has sold. Each week he sells one new policy so that he is paid £10 in the first week, £20 commission in the second week, £30 commission in the third week and so on. His weekly commissions form an arithmetic sequence. Find the total amount of commission he receives in the first year, given that a year has 52 weeks.

Question 5 a) Find the reminder when 16×5 — 20×4 + 8 is divided by (3x — 1)
[4 mark

b) i) The straight line ll passes through the points A and B with co-ordinates (2,2) and (6,0), respectively. Find the equation of 11.

[6 mark] ii) The straight line 12 passes through the point C with co-ordinates (-9,0) and has a gradient of Find the equation of 12.
[4 mark]

c) A salesman is paid commission of £10 per week for each life insurance policy that he has sold. Each week he sells one new policy so that he is paid £10 in the first week, £20 commission in the second week, £30 commission in the third week and so on. His weekly commissions form an arithmetic sequence. Find the total amount of commission he receives in the first year, given that a year has 52 weeks.

Question 6 Given that
5 2 1 y = —2×4 — —3 x3 + x — 1 — —x
dy a) Find dx
[6 mark]
[Total 20 marks]
[8 mark]