4) A population of 200 bacteria triples every 12 hours.
a) Write a function that gives the population at any time (t) in hours.
b) Write a function that gives the population at any time (t) in days.
5) Find the growth factor, per day, of a population that triples every four days. What is the growth rate?
6) A sum of $1000 is invested in an account that pays 4% annually. How much is in the account after 6 years if the money is
a) compounded monthly,
b) compounded continuously? Assume that no deposits or withdraws are made in that period.