document.write( "Question 385398: If $500 is deposited in an account paying 8.6% annual interest, compounded continuously, how long will it take for the account to increase to $825? \n" ); document.write( "

Algebra.Com's Answer #272683 by Fombitz(32388) $\"\"$ $\"About$

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$\"F=Pe%5E%28Rt%29\"$
\n" ); document.write( " $\"825=500e%5E%280.086t%29\"$
\n" ); document.write( " $\"e%5E%280.086t%29=1.65\"$
\n" ); document.write( " $\"0.086t=ln%281.65%29\"$
\n" ); document.write( " $\"0.086t=0.500\"$
\n" ); document.write( " $\"t=5.82\"$ years
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