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Compound Interest and Depreciation

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Lesson

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8 minute activity

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Side-by-side timeline showing £1000 growing by 5% each year with multiplier 1.05 and £1000 depreciating by 10% each year with multiplier 0.90 over 3 years

The starting amount is 100% of itself, so an increase uses a multiplier bigger than 1 and a decrease uses a multiplier smaller than 1. For example, a 6% increase uses 1.061.061.06, while a 6% decrease uses 0.940.940.94.

To build a multiplier, rewrite the new percentage as a decimal. So 8% increase means 108%=1.08108\% = 1.08108%=1.08, and 25% decrease means 75%=0.7575\% = 0.7575%=0.75. Compound interest and depreciation both use these multipliers again and again over time.

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44 exam-style questions

Practice questions

Question 1

3 marks

Jesy invests £8000 for n n\,n years in a savings account.

To find the value, VVV, of her investment after n n\,n years she uses the formula:

V=8000×(1.025)n V = 8000 \times (1.025)^n V=8000×(1.025)n

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21 flashcards

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In percentage calculations, what is the multiplier for a 6% increase?

Compound Interest and Depreciation Revision Guide

  1. GCSE
  2. /Maths
  3. /Compound Interest and Depreciation

Revision notes for Edexcel GCSE Maths Compound Interest and Depreciation. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Practise questions

1 of 5

A laptop loses 7%7\%7% of its value each year. Which multiplier is used to calculate its value after each year?