SOLUTION: 1) In 1999 the world hit a population of 6 billion people. The worlds population is growing exponentially which will result in an increase of famine, poverty and sickness if nothin
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Question 190568: 1) In 1999 the world hit a population of 6 billion people. The worlds population is growing exponentially which will result in an increase of famine, poverty and sickness if nothing is changed. Some believe that the earth can only sustain a maximum population of 15 billion. If the worlds population follows the exponential function;
p(x) = 6x10-7(1.00805)x + 0.206
where p(x) is the population in billions, and x is the year, at what year will the world hit the maximum sustainable level?
2) Radium-226 is a radioactive element with a half-life of 1600 years.
a) How much of a 1000 g sample of the element will be present after 6400 years?
b) How long will it take for the 1000 gram sample to decay to 1 gram?
3) On September 26, 2001, an earthquake in North Bay measured 5.0 on the Richter scale. What is the magnitude of an earthquake 3 times as intense as North Bays earthquake?
4) How long will it take, to the nearest month, for $2500 to grow to $4000, if it is invested at 7%, compounded monthly?
5) How much louder is a mp3 player (100dB) to a crying baby (80dB)?
6) A liquid has a pH of 3.46. Find the hydrogen ion concentration [H+].