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Easy Compound Interest & Depreciation GCSE Notes

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Francesca🎧

26/03/2023

Maths

compound interest and depreciation

Easy Compound Interest & Depreciation GCSE Notes

Compound interest and depreciation are essential concepts in GCSE mathematics, particularly for foundation-level students. This guide covers the calculation of compound interest and depreciation using formulas and step-by-step examples. It provides practice questions and answers to help students master these topics for their GCSE exams.

...

26/03/2023

621

Compound interest + depreciation
Tim puts £6000 into an account which pays compound
interest of 2.4% per annum.
how much is in the account a

View

Compound Interest Calculations

This page focuses on solving compound interest GCSE questions and answers using different methods. It demonstrates how to calculate compound interest for various time periods and interest rates.

The first example shows how to calculate compound interest for £6000 invested at 2.4% per annum over 3 years. It presents two methods:

  1. Year-by-year calculation
  2. Using the compound interest formula

Example: Tim invests £6000 at 2.4% compound interest per annum. After 3 years, the account balance is £6442.45.

The page also includes a problem involving £9000 invested at 2.1% compound interest for 5 years, solved using the formula method.

Formula: Compound Interest Formula: A = P1+r1 + r^n, where A is the final amount, P is the principal, r is the interest rate asadecimalas a decimal, and n is the number of years.

These examples help students understand how to apply the compound interest formula GCSE Edexcel and other exam boards require.

Compound interest + depreciation
Tim puts £6000 into an account which pays compound
interest of 2.4% per annum.
how much is in the account a

View

Depreciation and More Compound Interest

This page covers depreciation calculations and provides additional compound interest examples, addressing both simple interest and compound interest GCSE foundation notes.

Key topics covered:

  1. Compound interest calculation for a 10% interest rate over 4 years
  2. Depreciation calculation for a car losing 29% of its value annually over 3 years

Definition: Depreciation is the decrease in value of an asset over time, often calculated as a percentage of the original value.

Example: A car bought for £15000, depreciating at 29% per year, is worth £5368.67 after 3 years.

The page emphasizes the importance of understanding the difference between appreciation compoundinterestcompound interest and depreciation, both of which use similar calculation methods but with opposite effects.

Highlight: Students should pay attention to whether they need to calculate appreciation compoundinterestcompound interest or depreciation, as this affects whether they add or subtract the percentage from 100%.

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Maths

621

26 Mar 2023

3 pages

Easy Compound Interest & Depreciation GCSE Notes

user profile picture

Francesca🎧

@francescastevens_pgeb

Compound interest and depreciation are essential concepts in GCSE mathematics, particularly for foundation-level students. This guide covers the calculation of compound interest and depreciation using formulas and step-by-step examples. It provides practice questions and answers to help students master these... Show more

Compound interest + depreciation
Tim puts £6000 into an account which pays compound
interest of 2.4% per annum.
how much is in the account a

Sign up to see the contentIt's free!

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Compound Interest Calculations

This page focuses on solving compound interest GCSE questions and answers using different methods. It demonstrates how to calculate compound interest for various time periods and interest rates.

The first example shows how to calculate compound interest for £6000 invested at 2.4% per annum over 3 years. It presents two methods:

  1. Year-by-year calculation
  2. Using the compound interest formula

Example: Tim invests £6000 at 2.4% compound interest per annum. After 3 years, the account balance is £6442.45.

The page also includes a problem involving £9000 invested at 2.1% compound interest for 5 years, solved using the formula method.

Formula: Compound Interest Formula: A = P1+r1 + r^n, where A is the final amount, P is the principal, r is the interest rate asadecimalas a decimal, and n is the number of years.

These examples help students understand how to apply the compound interest formula GCSE Edexcel and other exam boards require.

Compound interest + depreciation
Tim puts £6000 into an account which pays compound
interest of 2.4% per annum.
how much is in the account a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Depreciation and More Compound Interest

This page covers depreciation calculations and provides additional compound interest examples, addressing both simple interest and compound interest GCSE foundation notes.

Key topics covered:

  1. Compound interest calculation for a 10% interest rate over 4 years
  2. Depreciation calculation for a car losing 29% of its value annually over 3 years

Definition: Depreciation is the decrease in value of an asset over time, often calculated as a percentage of the original value.

Example: A car bought for £15000, depreciating at 29% per year, is worth £5368.67 after 3 years.

The page emphasizes the importance of understanding the difference between appreciation compoundinterestcompound interest and depreciation, both of which use similar calculation methods but with opposite effects.

Highlight: Students should pay attention to whether they need to calculate appreciation compoundinterestcompound interest or depreciation, as this affects whether they add or subtract the percentage from 100%.

Compound interest + depreciation
Tim puts £6000 into an account which pays compound
interest of 2.4% per annum.
how much is in the account a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Compound Interest and Depreciation: GCSE Foundation Guide

This comprehensive guide covers compound interest GCSE formula and depreciation calculations, essential for GCSE foundation mathematics. It provides step-by-step examples and practice questions to help students master these important financial concepts.

Key points:

  • Explanation of compound interest calculation methods
  • Depreciation formula and examples
  • Practice questions with detailed solutions
  • Relevant for GCSE foundation level mathematics

Highlight: This guide is particularly useful for students preparing for GCSE exams, offering a range of compound interest questions with answers and depreciation problems.

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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user