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an algebra student won $115,000 in a lottery and wishing to deposit it in savings accounts in two financial institutions. One account pays 7.9% simple interest but only insures $60,000. The second account pays 6.9% simple interest and deposits are insured up to $100,000. Determine the maximum amount of annual interest the student can earn while keeping all money insured.

  • Algebra -

    Put the maximum insured amount (60,000) in the bank paying the higher interest, and the remainder in the other bank.
    7.9% x 60,000 + 6.9% x 55,000 = $8535.

    All money and earnings will be insured.

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