at the end of $4$ years for $$16,700.$

Following is a table for the present value of $$1$ at compound interest:

$\backslash$table$[[$Year$,6\%,10\%,12\%],[1,0\mathrm{.}943,0\mathrm{.}909,0\mathrm{.}893],[2,0\mathrm{.}890,0\mathrm{.}826,0\mathrm{.}797],[3,0\mathrm{.}840,0\mathrm{.}751,0\mathrm{.}712],[4,0\mathrm{.}792,0\mathrm{.}683,0\mathrm{.}636],[5,0\mathrm{.}747,0\mathrm{.}621,0\mathrm{.}567]]$

Following is a table for the present value of an annuity of $$1$ at compound interest:

$\backslash$table$[[$Year$,6\%,10\%,12\%],[1,0\mathrm{.}943,0\mathrm{.}909,0\mathrm{.}893],[2,1\mathrm{.}833,1\mathrm{.}736,1\mathrm{.}690],[3,2\mathrm{.}673,2\mathrm{.}487,2\mathrm{.}402],[4,3\mathrm{.}465,3\mathrm{.}170,3\mathrm{.}037],[5,4\mathrm{.}212,3\mathrm{.}791,3\mathrm{.}605]]$

Use the tables above.

a$.$ Determine the net present value of Project A over a $4-$year life with salvage value assuming a minimum rate of return of $12\%.$ Round your answer to two decimal places.

b$.$ Which project provides the greatest net present value?