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Depreciation Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Depreciation
A decrease in the value of an item over time, often calculated using percentages.
Percentage decrease formula
New value = Original value × (1 - Percentage decrease/100).
Compound depreciation
A method where the value decreases by a fixed percentage each year.
Compound depreciation formula
Value after n years = Initial value × (1 - Percentage decrease/100)^n.
Annual depreciation rate
The percentage by which an item's value decreases each year.
Exponential decay
A process where a quantity decreases by the same proportion over equal time intervals.
Reverse percentage for depreciation
Used to find the original value before depreciation: Original value = New value ÷ (1 - Percentage decrease/100).
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.
Depreciation over multiple years
To calculate the value after multiple years, use the compound depreciation formula.
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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