At an annual effective interest rate of i, i > 0, both the following annuities...

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Finance

At an annual effective interest rate of i, i > 0, both the following annuities have a present value of X: (a) a 10-year annuity-immediate with annual payments of 45; (b) a 10-year annuity-immediate with annual payments that pays 25 per year for the first 5 years, 50 per year for the second 5 years, and 75 per year for the final 5 years. Calculate X.

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