An initial investment of $$40,000$ in Kingbird's Bunks is expected to pay off greatly$-$but not equally$-$in each of the next $5$ years. The company expects a small increase in operating income in year $1$ of $$5,500,$ but then steadily larger improvements in profitability in years $2-5$ : $$9,625,$$$21,000,$$$18,125,$ and $$27,250,$ respectively. The year prior to this investment, the company's ARR was $9\%,$ and its tax rate was $20\%.$

What level of ARR does this projection provide? $($Round answer to $2$ decimal places, e$.$g$.15\mathrm{.}25\%.)$

ARR $\%$

Is it likely that the company will move forward with this investment?