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Brian buys a 10-year decreasing annuity-due with annual payments of 10, 9, 8, ... 1.

On the same

date, Jenny buys a perpetuity-due with annual payments. For the first 11 years,

payments are 1, 2, 3, ... 11. Thereafter, payments remain constant at 11.

At an annual effective interest rate of i, both annuities have a present value of X.

Calculate X. Give your answer rounded to two decimal places

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