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2 November, 10:20

A coin had a value of $1.17 in 1995. Its value has been increasing at 9% per year. What is the value after 5 years?

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  1. 2 November, 10:31
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    P = P₀ (1 + r) ⁿ

    = 1.17 (1 + 0.09) ⁵

    = 1.17 (1.09) ⁵

    = 1.17 (1.5386)

    = 1.80

    Answer: $1.80

    Note: If you don't know the formula, you could calculate each year.

    Year 0: $1.17

    Year 1: $1.17 + $1.17 (0.09) = $1.2753

    Year 2: $1.28 + $1.28 (0.09) = $1.3948

    Year 3: $1.39 + $1.39 (0.09) = $1.5155

    Year 4: $1.51 + $1.51 (0.09) = $1.6464

    Year 5: $1.65 + $1.65 (0.09) = $1.7982 which rounds up to $1.80
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