Create a web page that incorporates jQuery using Google's CDN. This webpage should show the user a text input where they can enter their age, and a "calculate" and "clear" button. When the user enters their age, and then clicks "calculate", calculate their insurance rate using the following formula:

The rule is that the insurance policy will cost 5 x the customer's age, plus $300 per year. So for someone who is 33 years old, the cost would be 5 x 33 + 300 = $465/year.

Fade in the resulting final cost. When the user clicks the "clear" button, the age text box should clear, and the cost of the insurance should fade out.