document.write( "Question 1128550: Alice invests $18,000 at age 30 from the signing bonus of her new job. She hopes the investments will be worth $36,000 when she turns 41. If the interest compounds continuously, approximately what rate (as a percent) of growth will she need to achieve her goal? \n" ); document.write( "
Algebra.Com's Answer #745036 by josmiceli(19441)\"\" \"About 
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\"+A+=+P%2Ae%5E%28r%2At%29+\"
\n" ); document.write( "\"+P+=+18000+\"
\n" ); document.write( "\"+A+=+36000+\"
\n" ); document.write( "\"+t+=+41+-+30+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "\"+A+=+18000%2Ae%5E%28r%2A11%29+\"
\n" ); document.write( "\"+36000+=+18000%2Ae%5E%28+11r+%29+\"
\n" ); document.write( "\"+2+=+e%5E%28+11r+%29+\"
\n" ); document.write( "Take the ln of both sides
\n" ); document.write( "\"+ln%28+2+%29+=+11r%2A1+\"
\n" ); document.write( "\"+r+=+ln%28+2+%29+%2F+11+\"
\n" ); document.write( "\"+r+=+.693147+%2F+11+\"
\n" ); document.write( "\"+r+=+.0630+\"
\n" ); document.write( "She needs a rate of 6.3%\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );