stuck on word problems..

Question

Assume the exponential growth model A (t)A0e^kt and the world population of 6.7billion in 2005. If the population must stay below 24 billion during the next 100 years, what is the maximum acceptable annual rate of growth?  The maximum acceptable annual rate of growth is _ %

Answer 1

Becky,

Just using the very formula you provided,

 

24 = 6.7e^100k

 

Divide both sides by 6.7, take the ln (natural log)....