(a) The average weekly pay of a footballer at a certain club was £80 on 1 August 1960. By 1 August 1985, this had risen to £2000. The average weekly pay of a footballer at this club can be modelled by the equation , where £P is the average weekly pay t years after 1 August 1960, and A and k are constants.
(i) Write down the value of A. (1)
(ii) Find the value of k, correct to six decimal places.
(b) Use this model to predict the year in which, on 1 August, the average weekly pay of a footballer at this club will first exceed £100 000.