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Again consider the loan-balance system with the input/output difference equation Recall that y[O] is the amount of the loan, yln is the loan balance at the end of the nth month, xn] is the loan payment in the nth month, and 1 is the yearly interest rate in dec- imal form. It is assumed that the monthly payments x[n] for n 2 1 are equal to a constant c. Suppose that the number of months in the repayment period is N. Derive an expression for the monthly payments c in terms of y[0], N, and