If the world is now 5.8 billions people and if it continues to grow a the rate of 1.14% compounded continuously. How long will it take before there is only 1 square yard of land per person? Set up ENQ and solve. ( The Earth contains about 1.68 x 10^14 square yards of land)
2006-11-02 14:56:40 · 3 answers · asked by NOooob! 1 in Education & Reference ➔ Homework Help
1.68 * 10^14 = 5.8*e^(.0114t)
(1.68*10^14)/5.8 = e^(.0114t)
ln[(1.68*10^14)/5.8] = ln(e^(.0114t)
ln[(1.68*10^14)/5.8] = .0114t*ln(e)
ln[(1.68*10^14)/5.8] = .0114t
{ln[1.68*10^14)/5.8]}/.0114 = t
t = 2719.046 years
2006-11-02 15:35:33 · answer #1 · answered by jenh42002 7 · 0⤊ 0⤋
if compounded annually then answer is:
5.8 x10^9 x(1.0114)^t = 1.68x10^14
solving this : t ln(1.0114) = ln(1.68x10^5/5.8)
giving t = 906.34 years
if it is calculus then t comes out to be 3.943 x 10^142
2006-11-02 23:45:02 · answer #2 · answered by yog 2 · 0⤊ 1⤋
what does compunded continuously mean?compounded annually or semi annually,monthly,daily,hourly,......?
2006-11-02 23:07:51 · answer #3 · answered by raj 7 · 0⤊ 0⤋