Calculating the Period of an Investment (Grade 12 NSC Matric Mathematics): Quizzes

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Calculating the Period of an Investment
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What does calculating the period of an investment involve finding?

The value of nn (time period)

In the formula A=P(1+i)nA = P(1 + i)^n, what does AA represent?

Accumulated amount (final value)

What is the first step to solve for nn in A=P(1+i)nA = P(1 + i)^n?

Divide both sides by PP

Which formula solves for nn using change of base?

n=log⁡(A/P)log⁡(1+i)n = \frac{\log(A/P)}{\log(1 + i)}

How should 7.5% be written as a decimal in the formula?

0.0750.075

If money must grow to 'at least' a target, how should you round the calculated nn?

Round up to next whole number

Why use the change of base formula for calculating nn?

Easier on standard calculators

What is a critical mistake when substituting interest rates?

Not converting percentage to decimal

If n=10.632n = 10.632 years and at least the target is needed, what is the answer?

11 years

What should you always do after calculating nn?

Check answer makes practical sense

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