document.write( "Question 229150: If the population of a country is 25000 and it increases by 10% each year. After how many years will the original population be doubled? \n" ); document.write( "

Algebra.Com's Answer #170209 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If the population of a country is 25000 and it increases by 10% each year. After how many years will the original population be doubled?
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\n" ); document.write( "Let t = time in years, use the decimal equiv of 10%
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\n" ); document.write( "25000*(1.10)^t = 50000
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\n" ); document.write( "1.1^t = $\"50000%2F25000\"$
\n" ); document.write( "1.1^t = 2
\n" ); document.write( "Using logs
\n" ); document.write( "t*log(1.1) = log(2)
\n" ); document.write( ".04139t = .301
\n" ); document.write( "t = $\".301%2F.04139\"$
\n" ); document.write( " t = 7.2725 yrs
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\n" ); document.write( "See if that is true, check on a calc, enter: 25000*(1.1)^7.2725 ~ 50000 \n" ); document.write( "

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