document.write( "Question 1039898: 1. What annual interest rate, to the nearest tenth, will produce $5760 if $3500 is left at interest compounded annually for 10yr?\r
\n" ); document.write( "\n" ); document.write( "2. Suppose the inflation rate is 4%. Use the formula for continuous compounding to find the number of years, to the nearest tenth, for $1 item to cost $2.
\n" ); document.write( "

Algebra.Com's Answer #654645 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+r+\" = interest rate
\n" ); document.write( "\"+5760+=+3500%2A%28+1+%2B+r+%29%5E10+\"
\n" ); document.write( "\"+1.6457+=+%28+1+%2B+r+%29%5E10+\"
\n" ); document.write( "Take the 10th root of both sides
\n" ); document.write( "\"+1.05108+=+1+%2B+r+\"
\n" ); document.write( "\"+r+=+.05108+\"
\n" ); document.write( "The rate is 5.1 %
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+2+=+1%2A%28+1+%2B+.04+%29%5Et+\"
\n" ); document.write( "\"+2+=+1.04%5Et+\"
\n" ); document.write( "Take the log of both sides
\n" ); document.write( "\"+.301+=+t%2A.01703+\"
\n" ); document.write( "\"+t+=+17.671+\"
\n" ); document.write( "In 17.7 yrs, the item will cost $2
\n" ); document.write( "
\n" );