Anthony Salemo, a.k.a. “Fat Tony" was the underboss to the Genovese family in the 1960s. His primary operations included gambling, numbers rackets, and loan sharking. When he loaned out money he demanded to be paid 10% interest per week on a loan, compounded weekly. Suppose you borrowed $500 from Fat Tony but you paid him back S100 each week. Each week Fat Tony charged you 10% interest on the amount you still owe, after your $100 payment is taken into account. Write down a recurrence relation for M(n), the amount owed after n wecks. Note, this is not asking for a closed form.

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3) Anthony Salerno, a.k.a. “Fat Tony" was the underboss to the Genovese family in the 1960s. His
primary operations included gambling, numbers rackets, and loan sharking. When he loaned out
money he demanded to be paid 10% interest per week on a loan, compounded weekly. Suppose
you borrowed $500 from Fat Tony but you paid him back S100 cach week. Each week Fat Tony
charged you 10% interest on the amount you still owe, after your $100 payment is taken into
account.
Write down a recurrence relation for M(n), the amount owed after n wecks. Note, this is
not asking for a closed form.
Transcribed Image Text:3) Anthony Salerno, a.k.a. “Fat Tony" was the underboss to the Genovese family in the 1960s. His primary operations included gambling, numbers rackets, and loan sharking. When he loaned out money he demanded to be paid 10% interest per week on a loan, compounded weekly. Suppose you borrowed $500 from Fat Tony but you paid him back S100 cach week. Each week Fat Tony charged you 10% interest on the amount you still owe, after your $100 payment is taken into account. Write down a recurrence relation for M(n), the amount owed after n wecks. Note, this is not asking for a closed form.
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