A population of elk increases by 12% each year. Every year after births, 10 elk are added to the population to
vary the gene pool. Let x sub n denote the size of the population after n years, starting with a population of 50 elk.
a) when does the population exceed 150 elk?
b) after the time found in part a, no more elk will be added to vary the gene pool and hunting will be allowed eliminating 10 elk from the population annually. What is the fate of the population?