An employee joined a company in $2009$ with a starting salary of $\$50,000.$ Every year this employee receives a raise of $\$1000$ plus $5\%$ of the salary of the previous year.
- Set up a recurrence relation for the salary of this employee $n$ years after $2009.$
- What will the salary of this employee be in $2017?$
- Find an explicit formula for the salary of this employee $n$ years after $2009.$
