Question 245976
The population of a particular country was 29 million in 1980; in 1986, it was 37 million. The exponential growth function {{{A=29e^kt}}} describes the population of this country t years after 1980. Use the facts that 6 years after 1980 the population increased by 8 million to find k to three decimal places. 
.
{{{A=29e^(kt)}}}
The problem gives you:
A = 29+8 = 37
t = 6
.
{{{A=29e^(kt)}}}
{{{37=29e^(6k)}}}
{{{37/29 = e^(6k)}}}
{{{ln(37/29) = 6k}}}
{{{ln(37/29)/6 = k}}}
{{{0.041 = k}}}