document.write( "Question 1163118: Sam saved his money until he had $10 000 to invest. He invested x dollars into a certificate of deposit with an annual interest of 2.0%, and the remaining y dollars into a mutual fund with an annual interest rate of 1.5%. If his total interest earned from both accounts after one year was $193, which of the following is the value of y? \n" ); document.write( "
Algebra.Com's Answer #787104 by Theo(13342)\"\" \"About 
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x = the amount invested at 2%.
\n" ); document.write( "y = the amount invested at 1.5%
\n" ); document.write( "x + y = 10,000
\n" ); document.write( ".02x + .015y = 193
\n" ); document.write( "multiply both sides of the first equation by .02 and leave the second equation as is to get:
\n" ); document.write( ".02x + .02y = 200
\n" ); document.write( ".02x + .015y = 193
\n" ); document.write( "subtract the second equation from the first to get:
\n" ); document.write( ".005y = 7
\n" ); document.write( "solve for y to get:
\n" ); document.write( "y = 1400
\n" ); document.write( "that makes x = 10,000 - 1400 = 8600.
\n" ); document.write( "you have:
\n" ); document.write( "x = 8600
\n" ); document.write( "y = 1400
\n" ); document.write( "confirm solution is correct as shown below.
\n" ); document.write( "x + y = 8600 + 1400 = 10,000 (correct)
\n" ); document.write( ".02x+ .015y = .02 * 8600 + .015 * 1400 = 172 + 21 = 193 (correct)
\n" ); document.write( "solution is confirmed to be correct.
\n" ); document.write( "solution is the value of y is 1400.\r
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