The population P(in thousands) of Montana in the years 2005 through 2015 can be modeled by

P=81 In(t)+807, 5 ≤ t ≤ 15

Where t represents the year, with t=5 corresponding to 2005. During which year did the population of Montana exceed 965 thousand?

Respuesta :

Respuesta:

P=81 In(t)+807, 5 ≤ t ≤ 15 no inglihs

Explicación paso a paso: nose broo no se ingles

Respuesta:

So that the population of Montana exceed 965000 after of year 2007

Explicación paso a paso:

[tex]P=81*ln(t)+807[/tex]

Where P=965

[tex]965=81*ln(t)+807\\ 965-807=81*ln(t)\\ 81*ln(t)=158\\ ln(t)=158/81\\ ln(t)=1.9506[/tex]

How: [tex]t=e^{ln(t)}[/tex]

[tex]t=e^{1.9506}\\ t=7.033[/tex]

So that the population of Montana exceed 965000 after of year 2007