3.3.11

Compound Growth & Decay

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Compound Growth and Decay

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Growth and decay

  • When an amount increases or decreases by a set percentage on a regular basis this is called compound growth or compound decay.
  • The amount that is lost/gained changes with each interval since the amount lost/gained is a percentage of the current amount.
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Formula

  • This formula gives the amount after n intervals:
    • N = S × (multiplier)n
  • Where S is the starting amount and the multiplier is the percentage multiplier:
    • 1.25 for a 25% increase or 0.6 for a 40% decrease.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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