How did United States influence the economies of Caribbean countries after their independence?

By acquiring the land in Carribean countries.

Explanation:

Not long after their independence, many Corporations that established in Untied States started to came to Carribean countries and purchase a lot of lands from their government.

The land in Caribbean territories were significantly cheaper compared to those in US, so these corporations managed to take ownerships over a lot of Caribbean's territory. These corporations created a lot of companies that run in Agricultural sectors on this land (mostly for fruits products). As a result, US managed to control around 7% of Caribbean economy.

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