12.55 Growth by year versus decade It is expected that the female population in a city will double in two decades.

a. Explain why this is possible for a growth rate of 3.6% a year. (Hint: What does 11.036220 equal?)

b. You might think that a growth rate of 5% a year would result in 100% growth (i.e. the female population doubles)

over two decades. Explain why a growth rate of 5% a year would actually cause the female population to multiply by 2.65 over two decades.