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Example proof pages

Proof pages that make the math feel believable.

These pages show the ShowMath pattern in action: friendly setup, visible formulas, and enough reasoning for someone to understand why the answer changed.

Tax clarity

Self-employment tax that shows the IRS math

A user can see the 0.9235 adjustment, the 15.3% tax rate, and the deductible half without leaving the page.

Why the page works

It turns a stressful tax output into something people can verify before they act on it.

Self-employment tax that shows the IRS math

1

Net earnings subject to SE tax = Gross self-employment income x 92.35%

2

SE tax = Net earnings subject to SE tax x 15.3%

3

Half-SE deduction = SE tax / 2

The point is visible reasoning. Each proof page keeps the formula, the shift, and the takeaway close enough to trust.

Pricing confidence

A pricing-floor calculator that exposes margin assumptions

Instead of one quote number, the tool makes labor, material, markup, and contingency visibly auditable.

Why the page works

Teams stop arguing over the answer and start talking about the assumption that changed it.

A pricing-floor calculator that exposes margin assumptions

1

Required annual revenue = Target pay + tax buffer + overhead + benefit replacement

2

Charge rate = Required annual revenue / realistic billable hours

3

Scenario comparison = Base rate vs adjusted rate after new assumptions

The point is visible reasoning. Each proof page keeps the formula, the shift, and the takeaway close enough to trust.

Long-term planning

Savings runway with actual scenario math

Users can inspect inflows, outflows, burn rate, and months of runway without guessing how the projection was built.

Why the page works

When the reasoning is visible, the tool becomes a planning conversation instead of a mystery forecast.

Savings runway with actual scenario math

1

Future value = Principal x (1 + rate / compounding periods)^(periods x years)

2

Contribution growth = Each deposit compounds for a different number of periods

3

Total ending balance = Principal growth + contribution growth

The point is visible reasoning. Each proof page keeps the formula, the shift, and the takeaway close enough to trust.