Compound Interest (Leaving Cert Mathematics): Flashcards

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Compound Interest
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Compound interest formula

F=P(1+i)tF = P(1+i)^t

In F=P(1+i)tF = P(1+i)^t, meaning of FF

Final amount

In F=P(1+i)tF = P(1+i)^t, meaning of PP

Initial value

In F=P(1+i)tF = P(1+i)^t, meaning of ii

Interest rate

In F=P(1+i)tF = P(1+i)^t, meaning of tt

Time

Formula for interest earned

I=F−PI = F - P

Finding ii from F=P(1+i)tF = P(1+i)^t

Divide by PP, take tt-th root, subtract 1

Isolating tt in F=P(1+i)tF = P(1+i)^t

Use logarithms on both sides

Convert % increase to multiplier

Divide by 100, add 1

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