A certain country's GDP (total monetary value of all finished goods and services produced in that country) can be approximated by
g(t) = 9,000 - 560e^(-0.07t) 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. HINT: [Use the shortcuts.]
G(t) =
Estimate, to the nearest billion dollars, the country's total GDP from January 2010 through June 2014. (The actual value was 38,361 billion dollars.)
billion dollars