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Deposits of X are made at end of every month for 10 years in order to accumulate an annuity paying 100 at end of every

Deposits of X are made at end of every month for 10 years in order to accumulate an annuity paying 100 at end of every year forever, with first payment being paid at the end of year 11. Find X if nominal interest rate is converted quarterly 6%. Show all work and equations.

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