$1.$ EZ Company organized as a business on February $1,2024$ and was granted by the state of Delaware the right to sell common and preferred stock. EZ$$s corporate charter authorized $100,000$ shares of $$5$ par common stock and $25,000$ shares of $6\%$ $$100$ par preferred stock.

On March $1,2024,$ EZ Company issued $50,000$ shares of the common stock for $$50$ per share.

On March $15,2024,$ EZ Company issued $10,000$ shares of the preferred stock for $$130$ per share.

On December $1,2024,$ EZ Company bought back $10,000$ shares of the common stock for $$50$ per share.

On December $31,2024,$ EZ Company declared a $$10$ dividend per share for common shareholders and a dividend for preferred shareholders.

On January $15,2025,$ EZ Company paid the dividends to the shareholders.

Based on the fact pattern above, record the necessary events using the accounting equation template