document.write( "Question 1200964: The Sharky Finance Ltd. has agreed to provide a loan to Meena on a “four-for-five” monthly basis. That is, for every $4 Meena borrows today, she has to repay a total of $5 a month later. What is the true yearly rate of this loan? \n" ); document.write( "
Algebra.Com's Answer #835198 by ikleyn(52786)\"\" \"About 
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\n" ); document.write( "The Sharky Finance Ltd. has agreed to provide a loan to Meena on a “four-for-five” monthly basis.
\n" ); document.write( "That is, for every $4 Meena borrows today, she has to repay a total of $5 a month later.
\n" ); document.write( "What is the true yearly rate of this loan?
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document.write( "Let A be the loaned amount.\r\n" );
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document.write( "In one month later, Meena re-paid  \"%285%2F4%29%2AA\"  and completed the loan, in full.\r\n" );
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document.write( "So we write the formula for the simple interest amount of one month duration\r\n" );
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document.write( "    \"%285%2F4%29A\" = \"A%2A%281%2B%28i%2F12%29%29\",\r\n" );
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document.write( "where \"i\" is the annual interest rate, presented as decimal.\r\n" );
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document.write( "We simplify this equation step by step and find \" i \", which is the major unknown value\r\n" );
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document.write( "    \"5%2F4\" = \"1+%2B+%28i%2F12%29%29\"\r\n" );
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document.write( "    \"1%2F4\" = \"i%2F12\"\r\n" );
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document.write( "    i = \"12%2F4\" = 3.\r\n" );
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document.write( "ANSWER.  The annual interest rate is  3,  or  300%.\r\n" );
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