3 Siseko is hoping to buy a car when he turns 18. His grandmother offers to sell him her car for R131 071. He works on Saturdays only and earns R200 every Saturday. He saves R1 on the first Saturday. Each Saturday thereafter he doubles the amount he saved on the previous Saturday. He puts the money into a bottle on his desk and not into a bank account.
3.1 In which week will his weekly payment exceed his earnings for the first time, and what is the amount of the final payment he can afford?
3.2 How much will he have saved by the time he is no longer able to afford the weekly payments?
3.3 If he had been able to afford the payments, how long would it have taken him to save R131 071?
4. Show that 0,17 = 17 99*
5. A tree grows to a height of 3 metres in the first year. In the second year it grows 2,5 metres. In each successive year its height increases by of the increase in height of the previous year. What is the maximum height to which the tree can grow?