math population help

Mathematics
Tutor: None Selected Time limit: 1 Day

if you have a population of 100.000 and a growth rate of 1.6 % in ten years what would the population be

Oct 13th, 2015

Hello!

Each year a population grows by the factor 1+1.6% = 1+1.6/100 = 1.016 (denote this as a).
I.e. to obtain a population after one year we have to multiply the initial value 100,000 (denote it as b) by a. One year later — multiply (b*a) by a, obtaining b*a^2. Then b*a^3 and so on.

After full ten years the value will be b*a^10 = 100,000*(1.016)^10 = approx. 117,203 people.

Please ask if something is unclear.
Oct 13th, 2015

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Oct 13th, 2015
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