Town A has a population of 25000 people, as of
February 26, 2021.
Town B has a population of 60000 people, as of
February 26, 2021.
Town A's population is increasing at a rate of 5%/a,
compounded daily.
Town B's population is decreasing at a rate of 3.4%/a, also
compounded daily.
For compounding purposes, there are 365 days in every
year.
a) How many days will it take for the
populations of both towns to be equal in size, and what
will that population be?
b) Given that there are leap
years in 2024, 2028, 2032, 2036 . . . , on what exact
date will the equal population occur? (ex: May 21,
2029).
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