A certain country's GDP (total monetary value of all finished goods and services produced in that country) can be approximated by
g(t) = 8,000 − 630e−0.09t billion dollars per year (0 ≤ t ≤ 5),
where t is time in years since January 2010. Find an expression for the total GDP G(t) of sold goods in this country from January 2010 to time t.
G(t)=
Estimate, to the nearest billion dollars, the country's total GDP from January 2010 through June 2014. (The actual value was 33,641 billion dollars.)
_________ billion dollars