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the population in my state is 4,413,457 and the Annual Growth Rate is 0.09% what will the population be in ten years

 Aug 13, 2015

Best Answer 

 #1
avatar+1316 
+10

OK What you do here is change the percent to a decimal then add 1. This is 1.0009. Then raise that to the power of 10 like this (1.0009)10 then multiply by the population 4,413,457.

(1.0009)10 * 4,413,457.

 

$${\mathtt{4\,413\,457}}{\mathtt{\,\times\,}}{\left({\mathtt{1.000\: \!9}}\right)}^{{\mathtt{10}}} = {\mathtt{4\,453\,339.370\: \!205\: \!616\: \!109\: \!484\: \!1}}$$

Then round to a whole number 4,453,339.

 

I look it up your state is Kentucky. 

 Aug 13, 2015
 #1
avatar+1316 
+10
Best Answer

OK What you do here is change the percent to a decimal then add 1. This is 1.0009. Then raise that to the power of 10 like this (1.0009)10 then multiply by the population 4,413,457.

(1.0009)10 * 4,413,457.

 

$${\mathtt{4\,413\,457}}{\mathtt{\,\times\,}}{\left({\mathtt{1.000\: \!9}}\right)}^{{\mathtt{10}}} = {\mathtt{4\,453\,339.370\: \!205\: \!616\: \!109\: \!484\: \!1}}$$

Then round to a whole number 4,453,339.

 

I look it up your state is Kentucky. 

Dragonlance Aug 13, 2015
 #2
avatar+1316 
+5

 

 

OK I look here to find the population

https://en.wikipedia.org/wiki/List_of_U.S._states_and_territories_by_population

I compare the 2000 population with the 2010 population for a 10 year average and 2015 with 2000 as an average for 15 years. That give about 0.72% which is 0.0072. The way they do the math it might be higher like 0.009. That is 0.9%

SO this means maybe you meant the number to be 0.9% not 0.09%. 0.9% is 0.009.

If that is true then the answer is

$${\mathtt{4\,413\,457}}{\mathtt{\,\times\,}}{\left({\mathtt{1.009}}\right)}^{{\mathtt{10}}} = {\mathtt{4\,827\,147.417\: \!057\: \!420\: \!231\: \!152\: \!8}}$$

 

I dont know for sure if it is right but it work for the listed populations so this is probably the right answer, but one of the mods should check though. 

 Aug 13, 2015

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