document.write( "Question 613952: how long does it take to double an investment of $1000 in an account that pays 8% annual interest rate if interest is compounded quarterly? \n" ); document.write( "
Algebra.Com's Answer #386330 by unlockmath(1688)\"\" \"About 
You can put this solution on YOUR website!
Hello,
\n" ); document.write( "The formula to use is:
\n" ); document.write( "Amount = deposit(1+rate/(n)umber of times in a year)^n(t)ime
\n" ); document.write( "Plug in the numbers:
\n" ); document.write( "2000=1000(1+.08/4)^4t
\n" ); document.write( "Divide each side by 1000 to get: (Note:(1+.08/4)=1.02
\n" ); document.write( "2=1.02^4t
\n" ); document.write( "Use log
\n" ); document.write( "Log2=4tlog1.02
\n" ); document.write( "Divide both sides by 4log 1.02:
\n" ); document.write( "log2/4log 1.02=t
\n" ); document.write( "Grab your scientific calculator:
\n" ); document.write( "t=8.75 years (Approximately)
\n" ); document.write( "Make sense?
\n" ); document.write( "RJ
\n" ); document.write( "www.math-unlock.com
\n" ); document.write( "
\n" );