Consider an athletic shoe idea that involves creating high$-$performance athletic shoes completely from recycled materials. The brain behind the idea, Frances, needs to raise money in order to finance the creation and expansion of the business, which she plans to call ZenWear, LLC$.$ Frances does not want her company to go public yet, so she decides raising money through private equity investments is the best route to go$.$

Which of the following are examples of private equity investments? Check all that apply.

Frances gets a private equity fund to invest $$900,000$ in the business.

Frances launches a crowdfunding campaign on Indiegogo aimed at raising $$2$ million.

Frances gets her sister to invest $$40,000$ in the business.

Frances gets a venture capital fund to invest $$5$ million in the business.