Most universities will require you to complete a financial statement. Do this carefully as it will be used to determine your eligibility for financial assistance.
In most cases, it won’t affect the decision to accept you. At undergraduate level, the decision to offer a place is usually completely separate from an offer of financial aid – based on merit, not ability to pay.
However, you need to look carefully to see whether the school is “need-blind” or “need-aware”. If the former, your ability to pay (and need for help with financial aid) won’t affect their admissions decision.
If a college is “need-aware”, that may indeed affect their admissions decisions, because they may reserve a percentage of places for students of a particular income level.
That might mean they reserve a percentage of places for the most needy, and/or a percentage for middle class students whom they worry are falling between the income/financial aid cracks, and/or a percentage for the wealthiest students who can afford to pay the full cost of attendance (COA).