document.write( "Question 1129512: The population of a particular country was 28 million in 1985.In 1994,it was 32 million. The exponential growth function A=28e^kt describes the population of this country t years after 1985.Use the fact that 9years after 1985 the population increased by 4 million to find k. Round answer three decimal places. \n" ); document.write( "

Algebra.Com's Answer #746152 by josmiceli(19441) $\"\"$ $\"About$

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$\"+A+=+28%2Ae%5E%28k%2At%29+\"$
\n" ); document.write( " $\"+32+=+28%2Ae%5E%28k%2A9%29+\"$
\n" ); document.write( " $\"+e%5E%28k%2A9%29+=+1.14286+\"$
\n" ); document.write( "Take the natural log of both sides
\n" ); document.write( " $\"+9k+=+.133531+\"$
\n" ); document.write( " $\"+k+=+.014837+\"$
\n" ); document.write( " $\"+A+=+28%2Ae%5E%28+.015t+%29+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+32+=+28%2Ae%5E%28+.015%2A9+%29+\"$
\n" ); document.write( " $\"+32+=+28%2Ae%5E.135+\"$
\n" ); document.write( " $\"+32+=+28%2A1.1445+\"$
\n" ); document.write( " $\"+32+=+32.046+\"$
\n" ); document.write( "error due to rounding off -check math
\n" ); document.write( " \n" ); document.write( "

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