Modelling Linear Growth and Decay (VCE SSCE General Mathematics): Flashcards

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Modelling Linear Growth and Decay
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Linear growth

Quantity increases by same fixed amount over equal time periods

Linear decay

Quantity decreases by same fixed amount over equal time periods

Common difference (DD)

Constant amount added or subtracted at each step

Recurrence relation for linear growth

Vn+1=Vn+DV_{n+1} = V_n + D

Recurrence relation for linear decay

Vn+1=VnDV_{n+1} = V_n - D

Principal in simple interest

Initial amount of money borrowed or invested

Formula for DD in simple interest

D = rac{r}{100} imes V_0

Depreciation

Decrease in value of an asset over time

Formula for DD in flat rate depreciation

D = rac{r}{100} imes V_0

Unit cost depreciation basis

Value loss based on how often asset is used, not time

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