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If there are 500 people living in a town and the population increses by 10% yearly, what would be the population in 5 years from now?

 May 29, 2015

Best Answer 

 #1
avatar+2972 
+10

this is time, guys

time can be tricky, so always use 2 strategies just in case

if you mean just 10% of 500 every year:

times .1 by 500=50

then do 500+50+50+50+50+50=750

for strategy #1, that would be 750 peeps by 5 years

if you mean 10% of every years polulation

it's 110% of 500, equaling 550

times 550 * 1.1=605

then, 605*1.1=665.5

then 665.5*1.1=732.05

then time that by 1.1, equals: 805.255

however, people arent cut into pieces, so we round it to the nearest whole, and loooks like we cant round

for method 2 overall, there would by 805 peeps by 5 years

bam! done!

 May 29, 2015
 #1
avatar+2972 
+10
Best Answer

this is time, guys

time can be tricky, so always use 2 strategies just in case

if you mean just 10% of 500 every year:

times .1 by 500=50

then do 500+50+50+50+50+50=750

for strategy #1, that would be 750 peeps by 5 years

if you mean 10% of every years polulation

it's 110% of 500, equaling 550

times 550 * 1.1=605

then, 605*1.1=665.5

then 665.5*1.1=732.05

then time that by 1.1, equals: 805.255

however, people arent cut into pieces, so we round it to the nearest whole, and loooks like we cant round

for method 2 overall, there would by 805 peeps by 5 years

bam! done!

TitaniumRome May 29, 2015
 #2
avatar+118587 
+5

Thanks TR

Here is a shorter way  

$${\mathtt{500}}{\mathtt{\,\times\,}}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.1}}\right)}^{{\mathtt{5}}} = {\mathtt{805.255}}$$

 May 30, 2015

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