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$[$The following information applies to the questions displayed below.$]$

On March $22,$ purchased $730$ shares of RPI Company stock at $$10$ per share. Duke's stock investment results in it having an insignificant influence over RPI.

On July $1,$ received a $$2$ per share cash dividend on the RPI stock purchased in part a$.$

On October $8,$ sold $365$ shares of RPI stock for $$20$ per share.

Analyze each transaction above by showing its effects on the accounting equation$$specifically$,$ identify the accounts and amounts $($including $+$ or $)$ for each transaction.