Sandhill Googal owns a garage and is contemplating purchasing a tire retreading machine for $$20,820.$ After estimating costs and revenues, Sandhill projects a net cash inflow from the retreading machine of $$4,500$ annually for $7$ years. Sandhill hopes to earn a return of $10\%$ on such investments.

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$($For calculation purposes, use $5$ decimal places as displayed in the factor table provided.$)$

What is the present value of the retreading operation? $($Round answer to $2$ decimal places, e$.$g$.25\mathrm{.}25.)$

Present value $

Should Sandhill Googal purchase the retreading machine?

Sandhill Googal $$ purchase the retreading machine.