Compound Interest (Leaving Cert Mathematics): Flashcards

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Compound Interest
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Compound interest definition

Interest on principal + accumulated interest

Principal in compound interest

Original amount invested

Rate per annum

Percentage interest rate per year

Final amount in compound interest

Total value after interest added

Compound interest formula

F=P(1+i)nF = P(1 + i)^n

What is PP in F=P(1+i)nF = P(1 + i)^n?

Principal (starting amount)

What is ii in F=P(1+i)nF = P(1 + i)^n?

Interest rate as a decimal

What is nn in F=P(1+i)nF = P(1 + i)^n?

Time in years

Multiplier in compound interest

(1+i)(1 + i)

Convert 4% to multiplier

1.041.04

Formula to find rate

Rate = (Interest ÷\div Principal) ×\times 100%

Annual Equivalent Rate (AER)

True annual rate when interest charged more frequently

Depreciation definition

When something loses value over time

Depreciation formula

Final value = Original value ×(1−rate)n\times (1 - \text{rate})^n

Multiplier for depreciation

Less than 1

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