Growth and decay (Edexcel GCSE Maths): Flashcards

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Growth and decay
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Definition of compound interest

Interest on original amount + accumulated interest

Growth multiplier formula

1+percentage increase1001 + \frac{\text{percentage increase}}{100}

Decay multiplier formula

1percentage decrease1001 - \frac{\text{percentage decrease}}{100}

Formula for repeated percentage change

Final=Initial×(multiplier)n\text{Final} = \text{Initial} \times (\text{multiplier})^n

What nn represents in growth/decay formula

Number of time periods

Multiplier > 1 represents

Growth

Multiplier < 1 represents

Decay

What depreciation involves

Repeated percentage decreases

Type of changes in growth and decay problems

Repeated percentage changes

Exponential growth: same percentage or same amount?

Same percentage

Why use index notation over repeated multiplication?

More efficient

£40,000 at 3% compound interest for 3 years equals

£43,709.08

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