document.write( "Question 1171044: How many years will it take for an initial investment of $10,000 to grow to $35,000? Assume a rate of interest of 9% compounded continuously.
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Algebra.Com's Answer #795933 by ikleyn(52797)\"\" \"About 
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document.write( "Use the basic formula for accounts compounded continuously\r\n" );
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document.write( "    35000 = \"10000%2Ae%5E%280.09%2At%29\".\r\n" );
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document.write( "In this equation t is the unknown time in years.\r\n" );
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document.write( "    \"35000%2F10000\" = \"e%5E%280.09%2At%29\"\r\n" );
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document.write( "    3.5 = \"e%5E%280.09%2At%29\"\r\n" );
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document.write( "Take the natural logarithm of both sides\r\n" );
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document.write( "    ln(3.5) = 0.09*t\r\n" );
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document.write( "    t = \"ln%283.5%29%2F0.09\" = 13.92.\r\n" );
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document.write( "ANSWER.  In 13.92 years. \r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Problems on continuously compounded accounts \r
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\n" ); document.write( "\n" ); document.write( "After reading this lesson, you will tackle such problems on your own without asking for help from outside.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Logarithms\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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