$($IRR calculation$)$ Determine to the nearest percent the IRR on the following projects:

a$.$ An initial outlay of $$10,000$ resulting in a free cash flow of $$3,000$ at the end of year $1,$$$7,000$ at the end of year $2,$

and $$10,000$ at the end of year $3$

b$.$ An initial outlay of $$10,000$ resulting in a free cash flow of $$10,000$ at the end of year $1,$$$7,000$ at the end of year $2,$

and $$3,000$ at the end of year $3$

c$.$ An initial outlay of $$10,000$ resulting in a free cash flow of $$3,000$ at the end of years $1$ through $5$ and $$7,000$ at the

end of year $6$

a$.$ What is the IRR of a project with an initial outlay of $$10,000$ resulting in a free cash flow of $$3,000$ at the end of

year $1,$$$7,000$ at the end of year $2,$ and $$10,000$ at the end of year $3?$

$\%($Round to two decimal places.$)$