Question 1146612
7% interest account:
Principal = p/2
Rate = 0.07
Interest = 0.07p/2 = 0.035p
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4% interest account:
Principal = p
Rate = 0.04
Interest = 0.04p
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5.5% interest account:
Principal = 65000 - p/2 - p
Rate = 0.055
Interest = 0.055(65000 - p/2 - p) = 3575 - 0.0275p - 0.055p = 3575 - 0.0825p
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0.035p + 0.04p + (3575 - 0.0825p) >= 3500
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-0.0075p + 3575 >= 3500
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-0.0075p >= -75
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p <= 10000
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4% interest:
Principal = p <= 10000
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<b>The most you can invest in the 4% interest account is $10,000.</b>