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A fifty-year annuity-immediate makes level annual payments except for the mth payment. Here, m is a positive integer no larger than fifty. The mth payment

A fifty-year annuity-immediate makes level annual payments except for the mth payment. Here, m is a positive integer no larger than fifty. The mth payment is $3000, and each of the other payments is $5000. When calculated using an annual effective interest rate of 4%, the present value of this fifty-year annuity is $106600. Find m.

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