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April 18, 2014

April 18, 2014

Posted by **Rani** on Tuesday, October 6, 2009 at 10:10pm.

One equation that may be useful is:

Pt = Po * (1 + {GR/100})n

- Science!! Please HELP -
**MathMate**, Wednesday, October 7, 2009 at 12:08amApply the given formula,

P(t) = Po(1+r)^{n}

where

r=0.03 is the annual growth rate in percent divided by a hundred.

n=number of years

Po=initial population=10000

For 1 year,

P(1) = 10000*(1.03)^{1}

=10300

P(15)=10000*(1.03)^{15}

= ______

P(100)=10000*(1.03)^{100}

=_______

The doubling time is rougely 24 years using the rule of 72 (72 divided by the annual rate of interest).

The exact doubling time is log(2)/log(1.03)

=23.45 years.

Time required to grow from 10000 to 1920000 is

log(1920000/10000)/log(1.03)

=______ years

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