Posted by steve alexander on Tuesday, November 25, 2008 at 7:45pm.
the population of a country is 65 millions if it grows exponentially in a rate of 1.5% annual
1.calculate the estimate population in 12 years
2.when the population increases 4 times
could somebody please explain me this kind of problems where you need to use the log and please tell me the answers

precalculus  Craig, Tuesday, November 25, 2008 at 7:59pm
1. .015*65*12+65=76.7 million
2. 4*65=260 million

precalculus  drwls, Tuesday, November 25, 2008 at 8:03pm
1. Multiply 65 million by (1.015)^12
(1.015^12 = 1.1956)
2. Multiply 65 million by 4.
You don't need to use log for the second one.
You can to 1. with a log table or with a hand calculator (as I did).
If you use logs:
Log (answer) = log (65 million) + 12 log 1.015
Then take the antilog
You will learn more if you do the calculations yourself than if I gave you the numerical answers.

precalculus  North, Sunday, November 30, 2008 at 3:09am
Let
P = population in millions
t = time in years
Population growth is continuous. For continuous compounding use the formula:
P = 65*e^(.015t)
For the population in 12 years we have:
P = 65*e^(.015*12) = 65*e^(.18)
P = 77.8 million
Answer This Question
Related Questions
 math  The population of a certain country grows according to the formula N=N0e^...
 math  the population of the world in the year 1650 was about 500 millions ,and ...
 Precalculus  The population of the US in 1850 was 23191876. In 1900, the ...
 calculus  The population of a country was 8.4 million people in 2000. Three ...
 algebra  neil was growin a culture of a bacteria for biology experiement. he ...
 algebra  neil was growing a culture of bacteria for a biology experiment. he ...
 Calculus  The rate of growth of a particular population is given by dP/dt=50t^2...
 POPULATION  If a population consists of 10,000 individuals at time t=0 years (...
 Calculus  The CIA published data about foreign countries on its web page. In ...
 Math Calculus Help  A population grows exponentially. If the population is 0....
More Related Questions