The growth model A=112.5e^0.012t describes Mexico's population,A, in millions, t in years after 2010. How long will it take Mexico to double its population?

Respuesta :

Answer:

57.762 years

Step-by-step explanation:

Since 112.5 is the constant, we want to find how long it takes to double that, or what value of t will make [tex]e^{0.012t}=2[/tex]

[tex]e^{0.012t}=2\\ln(e^{0.012t})=ln(2)\\0.012t = ln(2)\\t = ln(2)/0.012\\t = 57.762[/tex]