The population of a country is now 60 million with a 2% per year death rate and a 1% per year birth rate. Each year 50,000 people immigrate to the country. Let yn be the population (in millions) of the country at the end of year n. Find a difference equation satisfied by yn.
A. yn = 0.99yn-1 + 0.05, y0 = 60.
B. yn = 1.01yn-1 - 0.05, y0 = 60.
C. yn = 1.01yn-1 + 0.05, y0 = 60.
D. yn = 0.99yn-1 - 0.05, y0 = 60.
E. none of these
Answer: A
Mathematics
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