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Etsy seller does $2,000/month in sales. Strip out materials, fees, shipping, ads, taxes, then divide by all the hours. Real rate: $8.60. Below federal minimum wage. Three conditions where it's still rational to keep going.

The 30% residential solar credit ended for systems placed in service after December 31, 2025. We reran four US scenarios at 2026 net costs of $16-19K: payback runs from 4.4 years in high-rate states to 17.6 years where power is cheap.

Runway = cash ÷ net burn. Easy to compute, easy to get wrong because both inputs change. The non-obvious correction: start fundraising when you have 9 months left, not 4. Here's why.

$1,500 movers + $3,000 deposit + $1,000 overlap rent + $500 utility setup + $1,000 furniture + $400 takeout = $7,400 total for a 'simple' local move. Long-distance doubles it. The math behind why moves always cost more than expected.

5-year-old used car at $12K: + $12K repairs + $1.8K financing premium + $2.5K fuel penalty = ~$28,300 total. Same car bought new at $30K runs ~$32,000 over the same 5 years. Used wins, but not by as much as the sticker suggests.

$100/month feels too small to bother with. But run it through 30 years of compounding and the number lands at $122K. Plus the harder lesson: starting at 25 with $100 beats starting at 35 with $200.

Lump sum $50K at 7% turns into $381K in 30 years. Add $500/month and it hits $988K. But inflation cuts that nominal $988K down to $406K of real purchasing power. Both numbers matter.

Holland's RIASEC model has been used by US Department of Labor + most career counselors since 1959. 30 questions output your Holland Code (top 3 of 6 dimensions), matched against ~100 career profiles. Not magic — a structured starting point.

A $5K balance at 22% APR with a 2% minimum payment takes 23 years to clear and costs $11K in interest. The minimum payment formula is engineered to maximize bank revenue, not to help you escape.

Working backwards from a $6K/year dividend goal: $300K at 2% yield, $200K at 3%, $150K at 4%, or $100K at 6%. Each yield band has different risk; the lowest portfolio target isn't always the best target.

DCA loses to lump sum on expected return by about 1-2% over 10 years. That gap is the price of insurance against panic-selling — and for many investors it's worth paying.

The 3-6 month rule treats every household the same. A freelancer with kids and a salaried renter need very different cash buffers. Here's the math for both, plus the cost of getting it wrong in either direction.

The FIRE number is annual expenses × 25. The math has a hidden asymmetry: every dollar you cut from spending moves the finish line closer AND speeds you toward it. We compared a $500 cut vs a $500 raise across 25 years.

A 25-year-old earning $80K, spending $40K, investing the rest. The simple 17-year math says yes — but a 5,000-path simulation says the survival rate is only 68%. Here's why, and what fixes it.

Banks approve based on debt-to-income ratios. They don't care about retirement, kids, or whether you'll be house-poor. Here's the gap between 'qualified' and 'comfortable' on a $100K salary.