Isla is given $100,000 for college expenses. She deposits the money in a bank account that doesn't pay any interest on the money, and she makes no further deposits into the account. Two weeks after the start of each semester, Isla withdraws $8,500 to pay her tuition. Suppose it takes Isla a total of 10 semesters to complete her college degree, and each semester costs $8,500. What sequence represents the amount of money left in Isla's bank account at the beginning of each semester? Is there money left in her account after she graduates? Explain.

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Answer:

  • She still has $15000 in the account after she graduates

Step-by-step explanation:

Let the number of semesters is s and the balance id b(s)

The balance after s semesters can be expressed as:

  • b(s) = 100000 - 8500s

After 10 semesters Isla has:

  • b(10) = 100000 - 8500*10 = 15000