from typing import Dict


def accumulated_brackets(bracket: Dict[str, float]) -> Dict[str, float]:
    """
    Adds the cumulative tax paid for a bracket if the income where to
    exceed the maximum point of the tax bracket
    :param bracket: Tax Bracket with min, max, and rate
    :return: new tax bracket with cumulative tax added
    """
    bracket["sum"] = (bracket["max"] - bracket["min"]) * bracket["rate"]
    return bracket