SOLUTION: rebecca herst received a year end bonus of $17000 from her company and invested the money in an account paying 6.5%. how much additional money should she deposit in an account payi

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Question 761882: rebecca herst received a year end bonus of $17000 from her company and invested the money in an account paying 6.5%. how much additional money should she deposit in an account paying 5% so that the return on the two investments will be 6%?
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1: $17000 invested at 6.5% would earn an interest of 17000%2A6.5%2F100+=+1105
Let us say she invests additions x dollars at 5% interest rate.
Step 2: Total amount invested = 17000+%2B+x
Step 3: Interest earned by x dollars = x+%2A+5%2F100+=+0.05%2Ax
Step 4: Total interest = 1105+%2B+0.05%2Ax ---> from steps 1 and 3
The above total interest is to be 6% of total investment.
So %2817000+%2B+x%29+%2A+0.06+=+1105+%2B+0.05%2Ax ---> from steps 2 and 4
Solve for x
1020+%2B+0.06%2Ax+=+1105+%2B+0.05%2Ax
0.06%2Ax+-+0.05%2Ax+=+1105+-+1020+=+85
i.e. 0.01%2Ax+=+85 or x+=+85%2F0.01+=+8500
She needs to invest highlight%288500%29 dollars at 5% interest.

:)