Denis is currently unemployed and wants to become the manager of Roberto's Restaurant. To become a manager in Roberto's Restaurant, Denis first has to serve as a cook there. To become a cook in Roberto's Restaurant, he first has to serve as a waiter there.
Denis has a $60\%$ chance of being hired as a waiter. If he becomes a waiter, he has a $50\%$ chance of being promoted to cook. If he becomes a cook, he has a $40\%$ chance of being promoted to manager.
At Roberto's Restaurant, managers get paid $\$25$ per hour, cooks get paid $\$15$ per hour, and waiters get paid $\$10$ per hour. If Denis stays unemployed, he will make $\$0$ per hour.
**What is the expected hourly payoff of Denis's plan to seek employment at Roberto's Restaurant?**
Round your answer to the nearest cent.
$\$$ [[☃ input-number 1]] per hour