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

a$.$ An initial outlay of $$10,000$ resulting in a free cash flow of $$2,500$ at the end of year $1,$$$6,500$ at the end of $2,$ and $$9,000$ at the end of year $3$

b$.$ An initial outlay of $$10,000$ resulting in a free cash flow of $$9,000$ at the end of year $1,$$$6,500$ at the end of year $2,$ and $$2,500$ at the end of year $3$

c$.$ An initial outlay of $$10,000$ resulting in a free cash flow of $$2,500$ at the end of years $1$ through $5$ and $$6,500$ at the end of year $6$

a$.$ What is the IRR of a project with an initial outlay of $$10,000$ resulting in a free cash flow of $$2,500$ at the end of year $1,$$$6,500$ at the end of year $2,$ and $$9,000$ at the end of year $3?$

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