You purchase a stock for $$15$ and expect its price to grow annually at a rate of $6$ percent. Use Appendix A to answer the questions. Round your answers to the nearest cent.

What price are you expecting after six years?

$

If the rate of increase in the price doubled from $6$ percent to $12$ percent, would that double the increase in the price?

Doubling the growth rate $\_\_\_\_\_$ the price appreciation. The increase in the price at $6\%$ is $ $\_\_\_\_\_\_$ and at $12\%$ is $ $\_\_\_\_\_.$