MHB In which year does the population reach 2000 people?

Thread starter eleventhxhour
Start date Apr 22, 2014
Tags

population Year

AI Thread Summary

To determine when the population of a small town reaches 2000 people, the growth function P(n) = 1250(1.03)^n is used, where n represents the number of years since 1996. By setting P(n) equal to 2000 and solving for n, the equation becomes 2000 = 1250(1.03)^n. This leads to the calculation of n, which is approximately 5.64, indicating that the population will reach 2000 people in the year 2002. The discussion emphasizes the importance of correctly applying exponential growth functions to solve population-related problems.

Apr 22, 2014

eleventhxhour

So, this looks really simple, but I keep getting a different answer from the textbook. Could someone help? Thanks

3d) The growth in population of a small town since 1996 is given by the function $$P(n) = 1250(1.03)^n$$

In which year does the population reach 2000 people?

Mathematics news on Phys.org

Apr 22, 2014

MarkFL

Gold Member

MHB

How are you approaching the problem?

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

View full post »

Thread 'Six Pencil Puzzle'

Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.

View full post »

Thread 'Imaginary Pythagoras'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

View full post »