You purchase a stock for $$20$ and expect its price to grow annually at a rate of $9$ 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 $9$ percent to $18$ percent, would that double the increase in the price?

Doubling the growth rate

$-$Select$-$

the price appreciation. The increase in the price at $9\%$ is $

and at $18\%$ is $

$.$