document.write( "Question 1169899: Two investments totaling $33,000 produce an annual income of $2200. One investment yields 8% per year, while the other yields 6% per year. How much is invested at each rate? \n" ); document.write( "

Algebra.Com's Answer #794753 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Let x be the amount invested at 8%;\r\n" );
document.write( "\r\n" );
document.write( "then the amount invested at 6% is the rest  33000-x  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To find x, you write the total interest equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    0.08x + 0.06*(33000-x) = 2200  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the equation, you find\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x =  = 11000  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  $11000 invested at 8% and the rest, $33000-$1000 = $22000  invested at 6%.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   0.08*11000 + 0.06*22000 = 2200 dollars is the total inderest.   ! 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" );