Today is Derek's $25$ th birthday. Derek has been advised that he needs to have $$3,823,045\mathrm{.}00$ in his retirement account the day he turns $65.$ He estimates his retirement account will pay $10\mathrm{.}00\%$ interest. Assume he chooses not to deposit anything today, Rather he chooses to make annual deposits into the retirement account starting on his $29\mathrm{.}00$ th birthday and ending on his $65$th birthday. How much must those deposits be$?$

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Answer format: Currency: Round to: $2$ dec$/$mal places.

Derek can deposit $$11,000$ on each birthday beginning with his $26$ th and ending with his $65$ th$.$ What will the rate on the retirement account need to be for him to have $$3,000,000$ in it when he retires on his $65$ th birthday?

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Answer format: Percentage Round to: $4$ decimal places $($Example: $9\mathrm{.}2434\%,\%$ sign required. Will accept decimal format rounded to $6$ decimal places $($ex: $0\mathrm{.}092434))$