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
\n" ); document.write( " in interest per​ year?
\n" ); document.write( "

Algebra.Com's Answer #793197 by ikleyn(53266)\"\" \"About 
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 = \"%286000-0.05%2A50000%29%2F%280.13-0.05%29\" = 43750  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  She invests $43750 to the 13% bonds and the rest 50000-43750 = 6250 dollars to CD.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  0.13*43750 + 0.05*6250 = 6000  dollars.   ! Precisely correct !\r\n" );
document.write( "
\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( "
\n" );