document.write( "Question 726271: Yearly sales of an electronic device S(t), in millions of dollars, t years after 1997 can be estimated by S(t)=100*2^t. Determine the year in which sales reached $1000 million. \n" ); document.write( "

Algebra.Com's Answer #444544 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+S%28t%29+=+100%2A2%5Et+\"$
\n" ); document.write( "given: $\"+S%28t%29+=+1000+\"$
\n" ); document.write( " $\"+1000+=+100%2A2%5Et+\"$
\n" ); document.write( " $\"+2%5Et+=+10+\"$
\n" ); document.write( " $\"+t%2Alog%28+2+%29+=+log%28+10+%29+\"$
\n" ); document.write( " $\"+t+=+1+%2F+log%282%29+\"$
\n" ); document.write( " $\"+t+=+1+%2F+.30103+\"$
\n" ); document.write( " $\"+t+=+3.322+\"$
\n" ); document.write( "1997 + 3 yrs = 2000
\n" ); document.write( "In the year 2000, the sales reached 1000 million
\n" ); document.write( "check:
\n" ); document.write( " $\"+S%28t%29+=+100%2A2%5Et+\"$
\n" ); document.write( " $\"+1000+=+100%2A2%5E3.322+\"$
\n" ); document.write( " $\"+1000+=+100%2A10.0005+\"$
\n" ); document.write( " $\"+1000+=+1000.0005+\"$ close enough
\n" ); document.write( " \n" ); document.write( "

\n" );