document.write( "Question 907916: Sal Boxer decided to divide a gift of $7000 into two different accounts. He places $1000 in an account that earns an annual simple interest rate of 7.5% The remaining money was placed in an account that earns an annual simple interest rate of 8.25% How much interest rate will Sal earn from the two accounts after one year? \n" ); document.write( "

Algebra.Com's Answer #550773 by richwmiller(17219) $\"\"$ $\"About$

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0.075*1000+0.0825*6000=570
\n" ); document.write( "75.0+495.0=570
\n" ); document.write( "check
\n" ); document.write( "Total amount of money invested: $7000
\n" ); document.write( "x+y=7000,
\n" ); document.write( "Total yearly interest for the two accounts is: $570
\n" ); document.write( "0.075*x+0.0825*y=570
\n" ); document.write( "x=7000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.075*(7000-y)+0.0825*y=570
\n" ); document.write( "Multiply out
\n" ); document.write( "525.0-0.075y+0.0825*y=570
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.0075*y=45.0
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 6000.00 at 8.25%
\n" ); document.write( "x=7000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 1000.00 at 7.5%
\n" ); document.write( " \n" ); document.write( "

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