document.write( "Question 1199487: Betsy, a recent retiree, requires $6000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of deposit (CD) paying 7% per year. How much money should be invested in each to realize exactly $6000 in interest per year.\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Let me see.\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The equation I seek should show the following:\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Bonds + CD = Total\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Let x = amount of money that should be invested in each account\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Bonds = 0.07x\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "CD = 0.15(50,000 - x)\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Here is my equation:\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "0.07x + 0.15(50,000 - x) = 6000\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Is this the correct set up? \n" );
document.write( "
Algebra.Com's Answer #833399 by ikleyn(52798)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The logic is broken in your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This phrase is nonsense\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " \"Let x = amount of money that should be invested in each account\".\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "x CAN NOT be an amount invested in each account.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It only can be an amount invested in some ONE of the two accounts.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, your solution must be re-written accordingly from the very beginning.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, on the way, percents are incorrectly connected with the amounts.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Be more attentive and try to keep right logic.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "//////////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you want to see many other similar solved problem (as your TEMPLATES), you can find them in 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( " |