Compound Interest Flashcards

GCSE Mathematics (Edexcel) 1MA1

Compound Interest

Interest calculated on the initial principal and also on the accumulated interest from previous periods.

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Terms in this set (10)

1

Compound Interest

Interest calculated on the initial principal and also on the accumulated interest from previous periods.

2

Compound Interest Formula

A = P(1 + r)^n, where A is the final amount, P is the principal, r is the interest rate (as a decimal), and n is the number of time periods.

3

Principal (P)

The initial amount of money invested or borrowed.

4

Rate of Interest (r)

The percentage interest rate per time period, expressed as a decimal in calculations.

5

Number of Time Periods (n)

The number of times the interest is applied over the total duration.

6

Final Amount (A)

The total amount after interest has been added, including the principal.

7

How to convert percentage to decimal

Divide the percentage by 100. For example, 5% becomes 0.05.

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Effect of increasing n in compound interest

As the number of time periods (n) increases, the final amount (A) grows faster due to compounding.

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Difference between simple and compound interest

Simple interest is calculated only on the principal, while compound interest is calculated on the principal and accumulated interest.

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Real-life example of compound interest

Savings accounts, where interest is added to the balance and future interest is calculated on the new total.

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