Final answer:
Carrot's action of paying $22,900 for 5 percent of the stock in Root Corp. increased his ownership stake in the company.
Step-by-step explanation:
Carrot's action of paying $22,900 for 5 percent of the stock in Root Corp. on January 1, year 1, has the significance of increasing Carrot's ownership stake in Root Corp. While the question does not provide details about Carrot's previous ownership stake, it can be inferred that Carrot now has a higher percentage of ownership in the company. This means that Carrot has more influence and decision-making power within Root Corp.