Question
If the town described in Question 1 already had 3,000 residents, the total population would be larger than if it had 0 residents to start.
If the town described in Question 1 already had 3,000 residents, the total population would be larger than if it had 0 residents to start. After 12 years, how much larger would the population be (starting with 3,000 rather than starting with 0 residents)?
Question one for ref:
The housing board of a newly planned town anticipates that over the next 12 years, 7,000 new residents will move in each year. In addition to the effect of new residents moving in, the board anticipates that each year the towns population (i.e., whoever has been living there for the entirety of that year) will grow at a rate of 1.5%, due to the ordinary population changes resulting from births and deaths. Assume that whenever new residents move in they do so at the end of the year, and dont start reproducing until the following year.
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