document.write( "Question 908885: Phyllis invested $10,000, a portion earning a simple interest rate of
\n" ); document.write( "9(1/5)% per year and the rest earning a rate of 9% per year. After one year the total interest earned on these investments was $915.00. How much money did she invest at each rate? \n" ); document.write( "
Algebra.Com's Answer #551369 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
If that 9(1/5)% means 9 1/5 % or 9.2 then
\n" ); document.write( "Total amount of money invested: $10000
\n" ); document.write( "x+y=10000,
\n" ); document.write( "Total yearly interest for the two accounts is: $915
\n" ); document.write( "0.092*x+0.09*y=915
\n" ); document.write( "x=10000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.092*(10000-y)+0.09*y=915
\n" ); document.write( "Multiply out
\n" ); document.write( "920.0-0.092*y+0.09*y=915
\n" ); document.write( "Combine like terms.
\n" ); document.write( "-0.002*y=-5.0
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 2500.00 at 9%
\n" ); document.write( "x=10000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 7500.00 at 9.2%
\n" ); document.write( "Check
\n" ); document.write( "0.092*7500.0+0.09*2500.0=915
\n" ); document.write( "690.0+225.0=915
\n" ); document.write( "915.0=915
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "code int1
\n" ); document.write( " \n" ); document.write( "
\n" );