Free Maths Calculator

Growth and Decay Calculator

Apply the same percentage change again and again: car values falling, populations rising, bacteria doubling down. The working builds the multiplier, raises it to the power of the number of periods, and for short runs shows every in-between value, which is where compound change finally clicks for most students.

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Method, Step by Step

    Worked Example

    A £2,000 investment grows by 5% each year for 3 years. What is it worth at the end?

    1. Find the multiplier:100% + 5% = 1.05
    2. Watch it move: 2,000 → 2,100 → 2,205 → 2,315.25
    3. Or in one go:2,000 × 1.05³ = 2,315.25

    Answer: £2,315.25

    Try These Yourself

    A £12,000 car loses 20% of its value each year. Value after 2 years?Show answerHide answer

    Answer: £7,680

    12,000 × 0.8 × 0.8 = 7,680.

    A population of 500 grows by 10% a year for 2 years. How big is it?Show answerHide answer

    Answer: 605

    500 × 1.1 × 1.1 = 605.