· 3 min read
What Is Dollar-Cost Averaging? A Simple Guide for Investors
Dollar-cost averaging means investing a fixed amount at regular intervals. Learn how it smooths out market volatility and removes the guesswork of timing.

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· 3 min read
Dollar-cost averaging means investing a fixed amount at regular intervals. Learn how it smooths out market volatility and removes the guesswork of timing.
· 4 min read
A clear guide to percentages: find X% of a number, work out what percent one number is of another, and add or subtract a percentage — with worked examples.
· 3 min read
The debt-to-equity ratio measures leverage. Learn the formula, what a healthy level looks like, and how the personal version differs from the company one.
· 3 min read
Learn the three main commission models — flat percentage, tiered rates and base salary plus commission — with clear worked examples for each.
· 12 min read
A hashtag makes a post findable in a query, which is a different job from making it spread. Model the visibility a tag actually buys and the answer falls out: a tag's worth is its viewers-per-post-published, not its volume — so a very popular tag returns almost nothing and a specific one returns twenty-five times more.
· 12 min read
Published best-time tables average over audiences that are not yours, and on a ranked feed posting time matters far less than it did on a chronological one. Compute your own audience's activity across time zones instead — six zones flatten the timing lever from a 94% swing to a 22% one — and see how many posts a real timing test needs.
· 12 min read
Platforms crop rather than letterbox, so an image is only safe if its subject sits inside the intersection of every ratio it will be shown at. That intersection has a closed form — the narrowest ratio divided by the widest — and it works out at 29.45% of the source for a realistic set. Geometry that does not expire, plus the pixel counts that do.
· 12 min read
The famous email ROI multiples are self-reported survey figures with the labour left out of the denominator and revenue that would have arrived anyway left in the numerator. Build the honest version instead: incremental revenue against full cost, measured with a holdout — and the arithmetic of how big that holdout has to be.
· 4 min read
Work out exactly how many months a savings goal will take from your monthly deposit, starting balance and interest rate — with worked examples.
· 12 min read
The denominator should be delivered, not sent — which means defining hard and soft bounces properly. Unique and total opens are different numbers. And a reported open rate has a computable null point: past a certain share of prefetching clients it carries no information about humans at all. The instrumentation that replaces it.
· 13 min read
Your bid decides whether you are eligible; the advertiser below you decides what you pay. Doubling a bid can move the price not at all, quality can halve it for the same position, and the average CPC in your report is a click-weighted mixture that describes no query. The auction arithmetic, worked.
· 13 min read
A slug has two jobs that pull against each other: it is a permanent identifier and it is a piece of readable text. Length, hyphens, stop words, dates, non-ASCII characters and the identifier-plus-slug pattern that gets both properties — with the real numbers from a site that localises 1,736 tool slugs into six languages.
· 3 min read
Learn how to work out overtime pay: multiply your hourly rate by 1.5 for time-and-a-half, apply the weekly threshold, and handle double-time correctly.
· 2 min read
APR and APY both describe a yearly rate, but only APY includes compounding. Here's what each means and which one actually matters for savings and loans.
· 3 min read
The income-multiple and 28/36 rules give you a ceiling in minutes. Here's how to work out an affordable price from your income, debts and down payment.
· 2 min read
Compound interest is interest earning interest. Here's the formula, a worked example, and why starting early beats saving more later.
· 3 min read
VAT is a percentage added to a price. Here's how to add VAT to a net price, remove it from a gross price, and find the tax amount — with examples.
· 3 min read
Your savings rate decides how fast you reach financial independence. See how to calculate it, what benchmarks to aim for, and why it beats investment returns.
· 2 min read
Your monthly mortgage payment comes from three things: the amount borrowed, the interest rate and the term. Here's the formula and what moves the number.
· 4 min read
Work out your monthly car payment from the loan amount, interest rate and term — plus the total interest you'll pay — using the standard amortization formula.
· 2 min read
Gross is what you earn; net is what you keep. Here's what comes out in between, and why you should always compare job offers on net pay.
· 3 min read
A discount is a percentage off a price. Here's how to find the amount saved and the final price — plus how to stack discounts and spot fake deals.
· 4 min read
Your FIRE number is the nest egg that funds financial independence. Learn the 25× rule, the 4% safe-withdrawal rate, and Coast, Lean and Fat FIRE variants.
· 2 min read
Markup and margin both describe profit on a sale, but from different bases. Confusing them costs money — here's how each works and how to convert.