Back of the napkin math -
Start working 2000 hrs/yr @ 16 years old taking home $30k (assuming no taxes since with credit/deductions you can go +/-). By age 36 you make 20x$30k = $600k (skipping interest).
If you do a cardiology fellowship after medschool/residency you will have worked for 6 years making $35k/yr (salaried resident so no minimum wage bonus for you) which let's say for the sake of argument would cover your student loans (not if you went private but we'll average it out with state schools). You'll make $200k/yr take home those 3 years leading up to age 36.
So by 36 the min wage adult and the cardiologist are even. Except the min wager could have a house almost paid off (possibly might even be working on house #2). Oh and the practitioner has also studied/worked about 2.5x as many hours as the min wager.
If the med school bound idiot (yes, now he is an idiot if he goes to medical school) changes to work 2 full time min wage jobs making $15/hr (assuming work is available) from age 16 he'll almost always be ahead by age 40, and if he invested wisely will have an insurmountable lead on any physician.
I bring up $15/hr since Seattle recently decided to bump up the minimum wage to that. San Diego is considering $13/hr.
That would be great and all, but the min wage is not even close to $15/hr for most of the states.
A more accurate min wage would be $7.25(Which is what most 16 year olds will get) So that means they will bring home roughly 10k a year after taxes. So with nothing after 20 years the min wage will have 200k which is a lot more accurate.
Granted, that isn't usually the case people don't sit at min wage for 20 years, they move up through the ladder and get a better job.
Students are pretty much getting screwed along with the minimum wage being way to low in order for people to pay their debts.
While numerically there may be several states that don't pay $10/hr, most urban states (where the majority of the population of the US resides) is paying well above $8.50. CA will be $10 minimum statewide in 5 months. The urban cities pay much higher since cost of living is higher (hence why you see $13 and $15 minimum living wages popping up).
If you do happen to live in one of those places where the minimum is $7.25 it's even easier to buy a house. My wife live in KY for 3 years and bought a large house for $80K - same house would have cost $500K here in CA. So even though the wage might be 1/2 as much, housing is insanely cheaper. Electricity, heating gas and water are cheaper there too. Only things like gasoline tend to run the same price around the country.
Either way my point is minimum wage can result in a nice nest egg if people discipline themselves like professionals going through 12 years of schooling.