$2.$ The average price of homes in Calgary fell by $$10,000$ to $$357,000$ from June $2009$ to July $2009.$ The June $2009$ price was $49\%$ higher than the June $2005$ price.

a$.$ What was the percent change from June $2009$ to July $2009?$

b$.$ What was the average price of a home in June $2005?$

c$.$ What was the annual rate of change from June $2005$ to June $2009?$