Zombies have appeared in Chicago and every day, each zombie produces 3 new zombies. Suppose that initially there is only one zombie, how many zombies will there be in 7 days?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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1. Zombies have appeared in Chicago and every day, each zombie produces 3 new zombies. Suppose that initially there is only one zombie, how many zombies will there be in 7 days?

2. In a rabbit population, each pair produces 2.2 offspring every year (i.e. 1.1 per capita) and the adults have a 0.9 annual death rate after reproduction (and assume the whole population is paired up into mating pairs.) If initially there are 55 rabbits, predict how many there will be in 5 years (rounded to the nearest integer).

3. Consider the same rabbit population, but now a python that lives nearby eats exactly 1 rabbit a month. If initially there are 55 rabbits, how many do you predict will be in 10 years?

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