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A perpetuity pays 50*1.5 k dollars at the end of the k-th year for 1 k 5, and then pays 70 dollars per year at

A perpetuity pays 50*1.5^k dollars at the end of the k-th year for 1 k 5, and then pays 70 dollars per year at the end of the 6th year and later. The annual effective interest is 10%. Calculate the present value of the perpetuity.

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