document.write( "Question 773818: Ben wants to double his money in 8 years by investing it in a savings account with interest compounded annually. What interest rate must the savings account offer in order for his money to double in 8 years? (Use the formula a=p(1+i)^n)\r
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Algebra.Com's Answer #471903 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
i is assumed in decimal form. Choose a=2 and p=1. n=8 as given.
\n" ); document.write( "SOLVE FOR i. This will involve logarithms.\r
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\n" ); document.write( "\n" ); document.write( "\"2=1%2A%281%2Bi%29%5En\"
\n" ); document.write( "\"2=%281%2Bi%29%5E8\"
\n" ); document.write( "\"log%282%29=log%28%281%2Bi%29%5E8%29\"
\n" ); document.write( "\"log%282%29=8%2Alog%28%281%2Bi%29%29\"
\n" ); document.write( "\"log%28%281%2Bi%29%29=%281%2F8%29log%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "To continue, decide which base you want. Euler number, or ten. Either of them would be practical. You would want to actually solve for \"%281%2Bi%29\" and then subtract 1 in order to have i. \r
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\n" ); document.write( "\n" ); document.write( "Continuing with base-ten, \"log%2810%2C%281%2Bi%29%29=0.03763\"
\n" ); document.write( "\"10%5E0.03763=1%2Bi\"
\n" ); document.write( "\"highlight%281%2Bi=1.090508%29\"
\n" ); document.write( "\"highlight%28i=0.0905%29\" staying with just three significant figures. This means 9.05%
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