compound interest increases interest more than simple interest
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When each interest calculation uses the initial amount, this is called Simple Interest. The other type is Compound Interest, which uses the current balance as the basis for interest calculation.
It appears in any system where the growth (or decrease), at any stage is dependent on the level reached. Common examples: Compound interest (surely, nobody, except elementary maths pupils, uses simple interest!). Depreciation. Radioactive decay. Also, Pyramid selling schemes - until they hit the buffers of saturation!
easier for calculate profit
divers use it to calculate how far below sea level they are, you also use them for temperature, and business(profit, loss, etc.)
Manufacturing company of drugs, petrochecmicals and astronomers. Moreover, some manufacturing and engineering companies used it for their research in laboratory.