Alice invests $8000 in two certificates of deposit; the interest on the first certificate is 2%, and the interest on the second is 3%. Let's denote the amount she invests in the first certificate by x. Then the amount she invests in the second certificate is _ . The interest she receives on the first certificate is , and the interest she receives on the second certificate is . So a function that models the total interest she receives from both certificates is y =___ .

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13-10-2014
Mathematics

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Alice invests $8000 in two certificates of deposit; the interest on the first certificate is 2%, and the interest on the second is 3%. Let's denote the amount she invests in the first certificate by x. Then the amount she invests in the second certificate is _ . The interest she receives on the first certificate is , and the interest she receives on the second certificate is . So a function that models the total interest she receives from both certificates is y =___ .

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MichaelLiu MichaelLiu · Answer 1 · 2014-10-13T12:57:02-04:00

MichaelLiu MichaelLiu

13-10-2014

1. 8000-x (You invest x in the first, then you have 8000-x more to make up for)
2. 0.02x (Interest * how much you invested)
3. 0.03(8000-x) (Interest * how much you invested)
4. 0.02x+240-0.03x
=240-0.01x

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