document.write( "Question 1198609: Researchers claim that a certain technology doubles in size every 5.48 years. What is the technology's exponential growth rate? \n" ); document.write( "

Algebra.Com's Answer #832223 by MathLover1(20850) $\"\"$ $\"About$

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$\"A+=+P+e%5E%28rt%29\"$ \r
\n" ); document.write( "\n" ); document.write( "If the initial population is $\"1\"$ unit, then in $\"5.48+\"$ years the population will be $\"2\"$ units.\r
\n" ); document.write( "\n" ); document.write( " $\"2+=+1%2Ae%5E%285.48r%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Take the natural logarithm of both sides:\r
\n" ); document.write( "\n" ); document.write( " $\"ln%282%29++=+ln%281%2A+e%5E%285.48r%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"ln%282%29++=+ln%281%29%2Bln%28e%5E%285.48r%29%29\"$
\n" ); document.write( "
\n" ); document.write( " $\"ln%282%29+=0%2B+5.48r%2Aln%28e%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"ln%282%29+=5.48r%2A1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"r+=+ln%282%29%2F5.48\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"r+=+ln%282%29%2F5.48\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+r+=0.126487\"$ ........per year, exactly \r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( " $\"r+\"$ ≈ $\"12.6487\"$ %........ per year\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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