Question

In a hypothetical human population of 1,000
individuals showing exponential growth, birth
rate is 0.2 per capita per year and death rate is
0.1 per capita per year. What will be the
population size after 10 years? (e = 2.72)​

Answer 1

Answer:

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Answer 2

$\sqrt{answer}$

$= > \: no = \: population \: size \: in \: 1993 = 5.4 \: billion$

$= > \: t = 7years \: {year \: 2000 - 1993}$

$= > r = 0.0139(from \:qustion \: above)$

$= > nt = no \: ert$

$= > nt = (540000000) {e}^{2} (0.0139)(7)$

=> Nt / 540000000 = e^ 0.0973

Dust of your high school math skills. to get rid of the exponents simply take the natural log of both side of the equation .

$in \: (nt = 540000000 = in {e}^{2} \:(0.0973)$

( Here we are taking the natural log of the ) quotient )

$= > \: in(nt) = in(540000000) = 0.0973$

[ rewrite it as natural log of one value minus natural of other value ]

$= > nt \: = 595000000 \: or \: 5.95 \: billion$

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