SOLUTION: In planning her retirement, Liza deposits some money at 4% interest, with twice as much deposited at 5%. Find the amount deposited at each rate if the total annual interest income

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Question 644327: In planning her retirement, Liza deposits some money at 4% interest, with twice as much deposited at 5%. Find the amount deposited at each rate if the total annual interest income is $1960.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+| = amount invested at 4%
+2x+ = amount invested at 5%
given:
+.04x+%2B+.05%2A2x+=+1960+
+.14x+=+1960+
+x+=+1960+%2F+.14+
+x+=+14000+
+2x+=+28000+
$14,000 is invested at 4%
$28,000 is invested at 5%
check:
+.04x+%2B+.05%2A2x+=+1960+
+.04%2A14000+%2B+.05%2A28000+=+1960+
+560+%2B+1400+=+1960+
+1960+=+1960+
OK