document.write( "Question 1168617: Betsy, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $6,000
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document.write( " in interest per year? \n" );
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Algebra.Com's Answer #793197 by ikleyn(53266) You can put this solution on YOUR website! . \n" ); document.write( "Betsy, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest \n" ); document.write( "in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. \n" ); document.write( "How much money should be invested in each to realize exactly $6,000 \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "She invests x dollars to 13% bonds and the rest 50000-x dollars to 5% CD.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To find the unknown x, we write the total interest equation\r\n" ); document.write( "\r\n" ); document.write( " 0.13x + 0.05*(50000-x) = 6000 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Next, from this equation we express x and calculate\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a standard and typical problem on investments.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you need more details, or if you want to see other similar problems solved by different methods, look into the lesson \r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on investment\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You will find there different approaches (using one equation or a system of two equations in two unknowns), as well as \n" ); document.write( "different methods of solution to the equations (Substitution, Elimination).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |