Question

22 In keeping with the projected increase in worldwide demand for steam coal, the boiler-firing fuel used for panerating electricity, the management of Consolidated Mining has steam coal according to the function below. The function is in million metric tons/year for the next 20 years. 4te-0.03e The current yearly production is 22 million metric tons. Find a function that describes Consolidated's total production of steam coal at the end of t years Consolidated have produced over the next 20 yoars if this plan is carried out? million metric tons How much coal will Consolidated have produced over t Need Help?

Answer 1

consolidated total production at the and of t years = 22 + 4 e^- 0.03 + 4 times 2 e^- 0.03 times 2 + -- + 4 times t e^- 0.03 times t = 227 4 times [e^- 0.03 + 2.e^- 0.03 times 2 + ---- + t^- 0.03 times t consolidated production over must 20 years = 4 [e^- 0.03 + 2 e^- 0.03 times 2 + ---- + 20 e^- 0.03 times 20