document.write( "Question 1173005: If P135,650 is the maturity value of a sum invested at 3.2% compounded semi-annually for 9 years and 6 months, find the present value and the compound interest earned. \n" ); document.write( "
Algebra.Com's Answer #850764 by ikleyn(52788)\"\" \"About 
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\n" ); document.write( "If P135,650 is the maturity value of a sum invested at 3.2% compounded semi-annually for 9 years and 6 months,
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document.write( "In this problem, the present value is THE SAME as the original deposited amount.\r\n" );
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document.write( "So, let X be the original deposited amount.\r\n" );
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document.write( "From the problem, you can write this equation\r\n" );
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document.write( "    135000 = \"X%2A%281+%2B+0.032%2F2%29%5E%282%2A9%2B1%29\" = \"X%2A1.016%5E19\".\r\n" );
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document.write( "From this equation, you find  X = \"135000%2F1.016%5E19\" = P99,851.21.\r\n" );
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document.write( "It is the starting value and, at the same time, is the present value.\r\n" );
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document.write( "The interest earned is the difference  P135,000 - P99,851.21 = P35,148.79.\r\n" );
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document.write( "ANSWERS.  The present value is P99,851.21.\r\n" );
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document.write( "          The interest earned is P35,148.79.\r\n" );
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