Kelly Haggett figures that a mandatory surcharge added to Washington state’s payroll tax cost her about $500 last year. But she doesn’t really mind.

“On a scale of 1 to 10 of my annoyance with taxes in general, this one is about a 2,” she said. “I see the benefits.”

The small surcharge on wages provides the funding for Washington Cares, the nation’s first state-operated program for long-term care insurance. It was set to begin distributing benefits July 1.

If Haggett, 67, a systems administrator who lives in Auburn, Washington, needs help with daily activities as she ages — bathing, dressing, grocery shopping, managing medications — she’ll be able to use the benefit she has accrued through WA Cares, as the program is known.

About 3.7 million workers participated last year, paying an additional 0.58% in payroll taxes. Those who contribute for 10 years will qualify for a lifetime benefit of $36,500. The amount will rise with inflation: A 36-year-old now earning about $50,000 a year who contributes $291 a year for a decade will have a projected $98,000 benefit if she needs assistance at age 75.