document.write( "Question 42459: An insect population P in a certain area fluctuates with the seasons. It is estimated that P = 17,000+ 4500sin πt/52, where t is given in weeks. Determine the number of weeks it would take for the population to initially reach 20,000.\r
\n" ); document.write( "\n" ); document.write( "Thank You \n" ); document.write( "

Algebra.Com's Answer #27592 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"P+=+17000+%2B+4500+%2A+sin%28pi%2At%2F52%29\"$
\n" ); document.write( "P = 20000
\n" ); document.write( " $\"20000+=+17000+%2B+4500+%2A+sin%28pi%2At%2F52%29\"$
\n" ); document.write( " $\"3000+=+4500+%2A+sin%28pi%2At%2F52%29\"$
\n" ); document.write( " $\"2+=+3+%2A+sin%28pi%2At%2F52%29\"$
\n" ); document.write( " $\"+sin%28pi%2At%2F52%29+=+2%2F3\"$
\n" ); document.write( " $\"arcsin%282%2F3%29+=+.7297\"$
\n" ); document.write( " $\".7297+=+pi%2At%2F52\"$
\n" ); document.write( " $\"37.948+=+3.141+%2A+t\"$
\n" ); document.write( " $\"t+=+37.948+%2F+3.141\"$
\n" ); document.write( " $\"t+=+12.08\"$
\n" ); document.write( "t = about 12 weeks \n" ); document.write( "

\n" );