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A lump sum S deposited into either fund X or fund Y will be exactly sufficient to provide a perpetuity of $100 per year with

A lump sum S deposited into either fund X or fund Y will be exactly sufficient to provide a perpetuity of $100 per year with the first payment due at the end of one year.

Fund X will earn interest at an effective annual rate of 10% for the first 30 years and 6% thereafter.

Fund Y will earn interest at a level effective annual rate of j.

In which of the following ranges is j?

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