document.write( "Question 743001: If I invested $2000.00 at the interest rate of 15%, compounded daily, for 52 weeks. How long would it take to reach $8000.00? \n" ); document.write( "
Algebra.Com's Answer #452724 by davethejackal(28)\"\" \"About 
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Let d = number of days\r
\n" ); document.write( "\n" ); document.write( "Assuming interest is 15% per annum and that there are 365.25 days in a year then the interest every day = 15% / 365.25.\r
\n" ); document.write( "\n" ); document.write( "hence \"+%282000%29+%281%2B.15%2F365.25%29%5Ed+=+8000+\"\r
\n" ); document.write( "\n" ); document.write( "\"+%281%2B.15%2F365.25%29%5Ed+=+4.+\"\r
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\n" ); document.write( "\n" ); document.write( "Taking logs
\n" ); document.write( "\"+ln%281%2B.15%2F365.25%29d+=+ln%284000%29+\"\r
\n" ); document.write( "\n" ); document.write( "hence \"+d+=+ln%284%29+%2F+ln%281%2B.15%2F365.25%29+\"\r
\n" ); document.write( "\n" ); document.write( "d = 3376.3198690738941804021745971694 days = 9.243 years (4 sf, using 365.25 days/year).
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