Depreciation Flashcards

GCSE Mathematics (Edexcel) 1MA1

Depreciation

A decrease in the value of an item over time, often calculated using percentages.

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Terms in this set (10)

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Depreciation

A decrease in the value of an item over time, often calculated using percentages.

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Percentage decrease formula

New value = Original value × (1 - Percentage decrease/100).

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Compound depreciation

A method where the value decreases by a fixed percentage each year.

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Compound depreciation formula

Value after n years = Initial value × (1 - Percentage decrease/100)^n.

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Annual depreciation rate

The percentage by which an item's value decreases each year.

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Exponential decay

A process where a quantity decreases by the same proportion over equal time intervals.

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Reverse percentage for depreciation

Used to find the original value before depreciation: Original value = New value ÷ (1 - Percentage decrease/100).

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Depreciation example

If a car worth £20,000 depreciates by 10% per year, its value after 1 year is £20,000 × 0.9 = £18,000.

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Depreciation over multiple years

To calculate the value after multiple years, use the compound depreciation formula.

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Difference between growth and decay

Growth involves an increase in value (1 + Percentage/100), while decay involves a decrease (1 - Percentage/100).

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