document.write( "Question 29148: Jose invested $5,000.00. He invested part of it in a bond fund paying 5%, and the rest in a money market fund paying 4%. If the total interest earned for one year was $220.00, how much money did Jose invest in the money market fund?\r
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Algebra.Com's Answer #15965 by ikdeep(226)![]() ![]() You can put this solution on YOUR website! Note - here \"*\" is a mulitipication sign and \"/\" division sign\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "total money which Jose invested = $5,000.00\r \n" ); document.write( "\n" ); document.write( "Let money invested in bond fund = $x..........equation no, (1)\r \n" ); document.write( "\n" ); document.write( "Therefore, Money invested in market fund = ($5,000.00 - x).....Equation no,(2) \n" ); document.write( "(because jose invested money in market fund which is left after investing in bond fund and we are given that he has totally invested $5,000.00 in both)\r \n" ); document.write( "\n" ); document.write( "Now,total interest recieved by him = $220\r \n" ); document.write( "\n" ); document.write( "Therefore according to question,we get the following equation:-\r \n" ); document.write( "\n" ); document.write( " $220 = 5% of bond fund + 4% of market fund\r \n" ); document.write( "\n" ); document.write( " 220 = 5% of x + 4% of ($5,000.00 - x)\r \n" ); document.write( "\n" ); document.write( " 220 = 5/100 of x + 4/100 of (5,000.00 - x) (here 5/100 and 4/100 means that 5 and 4 are been divided by 100) \n" ); document.write( " \n" ); document.write( "Since \"of\" is converted in Mutiply sign \"*\" and after solving brackets,,We get...\r \n" ); document.write( "\n" ); document.write( " 220 = 5/100 * x + 4/100 * 5,000.00 - 4/100 * x \n" ); document.write( " \n" ); document.write( "now, after mutipication, we get ...\r \n" ); document.write( "\n" ); document.write( " 220 = 5/100 x + 20,000.00/100 - 4/100 x \n" ); document.write( " \n" ); document.write( "Now, after taking L.C.M. we get\r \n" ); document.write( "\n" ); document.write( " 220 = (5x + 20,000.00 - 4x)/100 \n" ); document.write( " \n" ); document.write( "Now, after cross mutipication,we get...\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " 22,000.00 = 5x + 20,000.00 - 4x \r \n" ); document.write( "\n" ); document.write( "and 22,000.00 - 20,000.00 = 5x - 4x\r \n" ); document.write( "\n" ); document.write( " 2,000.00 = x\r \n" ); document.write( "\n" ); document.write( " Now, put the value of x in equation no, (1)....we get\r \n" ); document.write( "\n" ); document.write( " Money invested in Bond fund = $x \n" ); document.write( " = $2,000.00\r \n" ); document.write( "\n" ); document.write( " ANd Money invested in market fund = $5,000.00 - x \n" ); document.write( " = $5,000.00 - 2,000.00 \n" ); document.write( " = $3,000.00\r \n" ); document.write( "\n" ); document.write( "(Moreover if you want to check your answer. Take 5% of bond fund and 4% of market, the sum of both would have to be equal to $220 which is given total money recieved after investing in both the funds)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |