$($Future value of a complex$$ annuity$)$ Springfield mogul Montgomery$$ Burns, age $70,$ wants to retire at age $100$ so he can steal candy from babies full time. Once Mr$.$ Burns$$ retires, he wants to withdraw $$$$1$ billion at the beginning of each year for $9$ years from a special offshore account that will pay $24$ percent annually. In order to fund his$$ retirement, Mr$.$ Burns will make $30$ equal$$ end$-$of$-$the$-$year deposits in this same special account that will pay $24$ percent annually. How much money will Mr$.$ Burns need at age$100,$ and how large of an annual deposit must he make to fund this retirement$$ account?

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Part $1$

a$.$If the retirement account will pay $24$ percent$$ annually, how much money will Mr$.$ Burns need when he$$ retires?

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enter your response here billion$($Round to three decimal$$ places.$)$

Part $2$

b$.$How large of an annual deposit must he make to fund this retirement$$ account?

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enter your response here million$($Round to two decimal$$ places.$)$