document.write( "Question 1109966: a woman has a total of 9,000 to invest.she invest part of the money in an account that pays 8% per year and the rest in an account that pays 9%per year if the interest earned in the first year is 750 how much did she invest in each account \n" ); document.write( "

Algebra.Com's Answer #724949 by ikleyn(52781) $\"\"$ $\"About$

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

\r\n" );
document.write( "interest + interest      = total interest\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.08*x   + 0.09*(9000-x) = 750    dollars\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.08x + 810 - 0.09x = 750\r\n" );
document.write( "\r\n" );
document.write( "-0.01x = 750 - 810 = -60  ====>  x =  = 6000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  $6000 was invested at 8%.  The rest   9000-6000 = 3000 dollars were invested at 9%.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.   0.08*6000 + 0.09*3000 = 480 + 270 = 750 dollars.   ! Correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------
\n" ); document.write( "To see many other similar solved problems on investment, 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" );