document.write( "Question 1140297: Aeris invest $100 compounded continuously. After 2 years, her account balance is $300. How long will it take for her account balance to be $24,300 and how long did it take for you account balance to double? \n" ); document.write( "

Algebra.Com's Answer #760785 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Notice that the original deposit of 100 dollars triples in 2 years till 300 dollars.\r\n" );
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document.write( "It will triples further every 2 years.\r\n" );
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document.write( "Also notice that   =  = 81 = .\r\n" );
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document.write( "It means that after getting $300, this account needs four 2-years periods to grow in  times.\r\n" );
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document.write( "Starting from $300, after 2 years the account will be $900.\r\n" );
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document.write( "After another 2 years, the account will be  $2700.\r\n" );
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document.write( "After another 2 years, the account will be $8100.\r\n" );
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document.write( "Finally, after another 2 years, the account will grow to $24300.\r\n" );
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document.write( "ANSWER.  In 8 years, the amount at the account will grow in 81 =  times from $300 to $24300.\r\n" );
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