A small city with current population 50,000 is experiencing a departure of 600 people each year. Assume that each year the increase in population due to natural causes is 1% of the population at the start of that year.
(a) Find the difference equation for yn, the population after n years.
(b) Solve the difference equation from part (a).
(c) Use the solution from part (b) to calculate the population after 10 years?