Real proof, not just positioning

A few concrete ways ShowMath earns trust.

This page exists for the moment after the pitch lands. Instead of talking about transparent math abstractly, we can point to a few examples where visible formulas, substitutions, and reasoning change how believable the result feels.

Open the main ShowMath page See the team-side story

What these examples prove

ShowMath works on taxes, pricing, and long-horizon planning

The visible math changes trust before it changes monetization

A named standard can travel across very different tool categories

The examples double as launch, sales, and onboarding material

Shareable proof routes

Each example has its own focused page now, so we can send the exact proof point someone needs with a clean preview instead of hoping a section link does enough work on its own.

Self-Employment Tax Calculator Freelance Rate Calculator Compound Interest Calculator

Example flows

Three examples that make the idea feel real.

Tax clarity

/showmath/examples/self-employment-tax

Self-Employment Tax Calculator

A freelancer wants to know what $80,000 of income actually means after self-employment tax.

Why this example matters

Most people know 1099 taxes feel heavier, but they cannot see the exact employer-plus-employee tax logic that creates the difference.

Best sent when

Send this when someone understands that contractor taxes are higher in theory but wants to see the exact math driving the gap.

Open the live tool Open the shareable proof page

What becomes visible

The 92.35% adjustment before the 15.3% rate applies
The Social Security and Medicare logic behind the total tax
The deduction created by paying half of that self-employment tax

Formula sketch

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

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

Half-SE deduction = SE tax ÷ 2

Pricing confidence

/showmath/examples/freelance-rate

Freelance Rate Calculator

An independent worker needs to quote a rate that covers taxes, retirement, and non-billable time without guessing.

Why this example matters

Without visible math, the recommended number feels arbitrary and hard to defend in a negotiation or proposal.

Best sent when

Send this when someone needs to justify a quote, explain a rate increase, or defend why freelance math does not match salary math.

Open the live tool Open the shareable proof page

What becomes visible

Which assumptions are increasing the required rate
How unbillable hours change the denominator
Why taxes and benefit replacement push freelance pricing above salary math

Formula sketch

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

Charge rate = Required annual revenue ÷ realistic billable hours

Scenario comparison = Base rate vs adjusted rate after new assumptions

Long-term planning

/showmath/examples/compound-interest

Compound Interest Calculator

A saver wants to see how a starting balance plus monthly contributions compounds over time.

Why this example matters

People hear that compounding is powerful, but the trust comes from seeing how time, rate, and contribution cadence interact.

Best sent when

Send this when someone needs a planning proof point that feels calmer and more universal than tax or pricing math.

Open the live tool Open the shareable proof page

What becomes visible

How the exponent changes the curve over time
Why earlier contributions matter more than later ones
What actually happens when you change the rate, years, or monthly deposit

Formula sketch

Future value = Principal × (1 + rate ÷ compounding periods)^(periods × years)

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

Total ending balance = Principal growth + contribution growth

Sharing shortcut

If someone is skeptical but curious, this is the link to send before the full tool library. It keeps the proof tight and shows that ShowMath travels beyond one calculator type.

/showmath/examples

Where to send people next

These examples are the bridge, not the finish line.

If someone wants the brand story, send them to the main ShowMath page. If they want the monetization and product path, send them to the team page. If they are already convinced, send them straight into the live calculators or the beta form.

Main ShowMath page ShowMath for teams Apply for beta