You just graduated from college and are starting your new job. You realized the importance to save for the future and have figured out that you will save $$2,000$ per month for the next $10$ years; and then increase to $$6,000$ per month for the following $5$ years. The amount accumulated at the end of these investments will be your retirement egg nest. You plan to start retirement and start withdrawing monthly amounts the following month $($you will be in retirement for $24$ years$).$ If your required rate of return is $12\%$ compounded monthly, how much are your monthly withdrawals?

Round to the nearest $$0\mathrm{.}01$ but do not use the $ sign. Enter as a positive number. DO NOT USE commas to separate thousands. For example if you obtain $$1,432\mathrm{.}728$ then enter $1432\mathrm{.}73$; if you obtain $$432$ then enter $432\mathrm{.}00$

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