In a natural habitat, the population of a certain species of snails is given by P= 0.8(Ae* +500), where A and k are constants and i is the time in years starting from 1 January 2010. Over a period of 8 years from 1 January 2010 to 31 December 2017, the population decreased from 50 000 to 19 000. (i) Calculate the values of A and of k.

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