document.write( "Question 306024: If a bank pays 4.4% interest compounded continuously, how long does it take to triple the original amount?
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document.write( "Here's what I tried:
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document.write( "y = a(1 + r)^t
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document.write( "3a = a(1 = 4.4) ^ t.
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document.write( "I solved for t by first dividing by a, then using the property of equality for logarithms and came up with .65142 but I don't understand the answer. If t represents the time period, what is it? 65% of one year??
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document.write( "Or did I work it wrong?
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #219070 by themathtutor2009(81)![]() ![]() ![]() You can put this solution on YOUR website! A=P*e^(rt)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3P=P*e^(rt)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3=e^(rt)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3=e^(0.044t)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ln(3)=0.044t\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ln(3)/0.044=t\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "t=ln(3)/0.044\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "t=24.9684611\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Takes about 25 years \n" ); document.write( " \n" ); document.write( " |