$($Solving for r with annuities$)$ Nicki$$ Johnson, a sophomore mechanical engineering$$ student, receives a call from an insurance$$ agent, who believes that Nicki is an older woman ready to retire from teaching. He talks to her about several annuities that she could buy that would guarantee her an annual fixed income. The annuities are as follows in the popup$$ window: LOADING... $.$

If Nicki could earn $11$ percent on her money by placing it in a savings$$ account, should she place it instead in any of the$$ annuities? Which$$ ones, if$$ any? Why?

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Part $1$

a$.$ What rate of return could Nicki earn on her money if she place it in annuity A with $$$$6,500$ payment per year and $22$ years$$ duration?

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