document.write( "Question 60735This question is from textbook
\n" ); document.write( ": What rate of interest to the nearest tenth of a percent compounded quarterly is needed for an investment of $1500 to grow to $2700 in 10 years?\r
\n" ); document.write( "\n" ); document.write( "I am not sure which formula to use: A=p(1+r)^t or A=P(1+r/4)^4t. I can not get either formula to work out correctly. Thank you for your help.
\n" ); document.write( "

Algebra.Com's Answer #41734 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Hopefully, I got it right. I get 5.96% for answer
\n" ); document.write( "\"A=P%281%2Br%2F4%29%5E%284t%29\"
\n" ); document.write( "\"2700+=+1500%281+%2B+%28r%2F4%29%29%5E40\"
\n" ); document.write( "\"2700%2F1500+=+%281+%2B+%28r%2F4%29%29%5E40\"
\n" ); document.write( "\"1.8+=+%281+%2B+%28r%2F4%29%29%5E40\"
\n" ); document.write( "take the log base 10 of both sides
\n" ); document.write( "\"log%2810%2C1.8%29+=+40%2Alog%2810%2C%281+%2B+%28r%2F4%29%29%29\"
\n" ); document.write( "\".2553+=++40%2Alog%2810%2C%281+%2B+%28r%2F4%29%29%29\"
\n" ); document.write( "\".2553+%2F+40+=+log%2810%2C+%28%284%2Br%29%2F4%29%29\"
\n" ); document.write( "\".2553+%2F+40+=+log%2810%2C%284%2Br%29%29+-+log%2810%2C4%29\"
\n" ); document.write( "\".00638+=+log%2810%2C%28r%2B4%29%29+-+.6021\"
\n" ); document.write( "\".60848+=+log%2810%2C%28r%2B4%29%29\"
\n" ); document.write( "this says
\n" ); document.write( "\"10%5E.60848+=+r+%2B+4\"
\n" ); document.write( "\"4.05957+=+r+%2B+4\"
\n" ); document.write( "\"r+=+.0596\"
\n" ); document.write( "so, I get 5.96% for the rate. Could have made a mistake, though
\n" ); document.write( "
\n" );