H$.$ Today is Amy's $24$th birthday. Starting today, Any plans to begin saving for her retirement, which she expects to be at age $66.$ Her plan is I. Based on your calculation for Amy's retirement problem above, conduct a what$-$if analysis by creating a data table that shows that future

batance at various rate of returns, ranging from $1\%$ to $19\%$ by a $2\%$ increment. Also create a $x-$y chart for the table. Be sure to give a chart

title and $x-$axis label.

to contribute $$5,000$ to a brokerage account each year on her birthday. Her first contribution will take place today. Her final contribution will

take place on her $65$th birthday. Her grand pa has decided to help Amy with her savings, which is why he gave Amy $$8,000$ today as a birthday

present to help get her account started. Assume that the account has an expected annual return of $9\mathrm{.}6$ percent. How much will Any expect

to have in her account at retirement $($on her $66$ th birthday$)?$ Hint: think of the cash flow type, annuity DUE.