document.write( "Question 1185117: If 8,000 pesos is the present value of 11,000 pesos due at the end of seven months, what is the simple discount? \n" ); document.write( "
Algebra.Com's Answer #815897 by Theo(13342)![]() ![]() You can put this solution on YOUR website! simple interest equation is: \n" ); document.write( "f = i + p \n" ); document.write( "i = p * r * n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f is the future value \n" ); document.write( "i is the interest \n" ); document.write( "p is the present value \n" ); document.write( "r is the interest rate per time period \n" ); document.write( "n is the number of time periods\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in your problem:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = 11000 \n" ); document.write( "p = 8000 \n" ); document.write( "i = 11000 minus 8000 = 3000 \n" ); document.write( "n = 7 months\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r is the interest rate per month. \n" ); document.write( "i believe that is what they are calling the simple discount, but i'm not sure because the terminology is not what i'm used to.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula becomes: \n" ); document.write( "f = p + i \n" ); document.write( "when f = 11000 and p = 8000, then: \n" ); document.write( "11000 = 8000 + i. \n" ); document.write( "solve for i to get: \n" ); document.write( "i = 11000 - 8000 = 3000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i = p * r * n \n" ); document.write( "i = 3000 \n" ); document.write( "p = 8000 \n" ); document.write( "n = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula becomes: \n" ); document.write( "3000 = 8000 * r * 7 \n" ); document.write( "solve for r to get: \n" ); document.write( "r = 3000 / (8000 * 7) = .0535714286.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the discount rate per month.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you pay today, it's 8000 \n" ); document.write( "if you pay in 7 months, it's 11000 \n" ); document.write( "the finance charge is .0535714286 * 8000 per month that you delay payment. \n" ); document.write( "in 7 months, the finance charge becomes 8000 * .0535714286 * 7 = 3000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if this is not what you wanted, please clarify what it is that you did want.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |