A small country emits 93,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 4% per year for the next 10 years. In the first year of the agreement, the country will keep its emissions at 93,000 kilotons and the emissions will decrease 4% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 10 year period, to the nearest whole number?

Respuesta :

Answer:

779264 k-tons

Step-by-step explanation:

First year ====> no change

  then each of the next 9 years decrease by 4 %  ( leaving 96%)

       this is a geometric sequence with

  r = .96   and a1 = 93000  and n =  10 terms

sum of sequence =   a1 (1-r^n) / ( 1-r) = 779264  kilotons