Question

help me pweaseeeeeeeeeee The burning of fossil fuels (oil, coal, natural gas) releases carbon dioxide into the atmosphere. Carbon dioxide is known as a greenhouse gas because it tends to trap heat in the atmosphere, causing global warming. In 1995, the United States emitted about 1.4 billion tons of carbon (as carbon dioxide) into the atmosphere. China was second largest contributor, emitting 850 million tons. US emissions were increasing at 1.3% a year, while Chinese emissions were increasing at 4% a year. Assuming these growth rates continued determine the year when China will exceed US i

Answer 1

Let the required year be x, then
1,400(1 + 0.013)^x = 850(1 + 0.04)^x
1400(1.013)^x = 850(1.04)^x
log(1400(1.013)^x) = log(850(1.04)^x)
log 1400 + log (1.013)^x = log 850 + log (1.04)^x
log 1400 + x log 1.013 = log 850 + x log 1.04
x log 1.04 - x log 1.013 = log 1400 - log 850
x(log 1.04 - log 1.013) = log 1400 - log 850
x = (log 1400 - log 850)/(log 1.04 - log 1.013) = 18.97 ≈ 19 years time.

Therefore, China will exceed US in the year 1995 + 19 = 2014.