document.write( "Question 318347: Does anyone know how to solve the compound interest formula for RATE?\r
\n" ); document.write( "\n" ); document.write( "Likely we are all familiar with the compound interest formula, thus:
\n" ); document.write( "\"A=%28P%281%2B%28r%2Fn%29%29%5E%28n%2At%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Where:
\n" ); document.write( "A = amount
\n" ); document.write( "P = principle
\n" ); document.write( "r = rate (percent written as a decimal term)
\n" ); document.write( "n = number of compounding periods per year (i.e., quarterly = 4)
\n" ); document.write( "t = number of years\r
\n" ); document.write( "\n" ); document.write( "One of the tutors was so good as to solve this formula for TIME, thus:
\n" ); document.write( "\"t=%28LOG%28A%2FP%29%29%2F%28n%2A%28LOG%281%2B%28r%2Fn%29%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Does anyone know how to solve this formula for the RATE? Stan has $1,500.00 and would quite like to have $5,000 in five years on a compound interest account. What interest rate must he fetch to meet this goal?\r
\n" ); document.write( "\n" ); document.write( "Thanks so very much for any reply,\r
\n" ); document.write( "\n" ); document.write( "Charlie Bass
\n" ); document.write( "Abilene, TX
\n" ); document.write( "cfbass@yahoo.com
\n" ); document.write( "

Algebra.Com's Answer #227855 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
dividing by P ___ \"A%2FP+=+%281+%2B%28r%2Fn%29%29%5E%28n%2At%29\"\r
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\n" ); document.write( "\n" ); document.write( "taking log ___ \"log%28A%2FP%29+=+%28n%2At%29log%28%281+%2B%28r%2Fn%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "dividing by (n*t) ___ \"%28%28log%28A%2FP%29%29+%2F+%28n%2At%29%29+=+log%28%281+%2B%28r%2Fn%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "reverse log ___ \"10%5E%28%28%28log%28A%2FP%29%29+%2F+%28n%2At%29%29%29+=+1+%2B+%28r%2Fn%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "subtracting 1 ___ \"10%5E%28%28%28log%28A%2FP%29%29+%2F+%28n%2At%29%29%29+-+1+=+%28r%2Fn%29\"\r
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\n" ); document.write( "\n" ); document.write( "multiplying by n ___ \"n%2810%5E%28%28%28log%28A%2FP%29%29+%2F+%28n%2At%29%29%29+-+1%29+=+r\"\r
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