document.write( "Question 245976: The population of a particular country was 29 million in 1980; in 1986, it was 37 million. The exponential growth function $\"A=29e%5Ekt\"$ describes the population of this country t years after 1980. Use the facts that 6 years after 1980 the population increased by 8 million to find k to three decimal places. \n" ); document.write( "

Algebra.Com's Answer #179684 by nerdybill(7384) $\"\"$ $\"About$

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The population of a particular country was 29 million in 1980; in 1986, it was 37 million. The exponential growth function $\"A=29e%5Ekt\"$ describes the population of this country t years after 1980. Use the facts that 6 years after 1980 the population increased by 8 million to find k to three decimal places.
\n" ); document.write( ".
\n" ); document.write( " $\"A=29e%5E%28kt%29\"$
\n" ); document.write( "The problem gives you:
\n" ); document.write( "A = 29+8 = 37
\n" ); document.write( "t = 6
\n" ); document.write( ".
\n" ); document.write( " $\"A=29e%5E%28kt%29\"$
\n" ); document.write( " $\"37=29e%5E%286k%29\"$
\n" ); document.write( " $\"37%2F29+=+e%5E%286k%29\"$
\n" ); document.write( " $\"ln%2837%2F29%29+=+6k\"$
\n" ); document.write( " $\"ln%2837%2F29%29%2F6+=+k\"$
\n" ); document.write( " $\"0.041+=+k\"$ \n" ); document.write( "

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