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1 January, 05:03

When writing an equation in exponential form, how can you tell by the number in parentheses if it's exponential growth or exponential decay?

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  1. 1 January, 05:14
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    One example of a growth is saving rate, let's say that the increase is 4% per annum

    The multiplier is 100%+4%=104% = 1.04

    The growth formula is

    y = A₀ (1.04) ˣ

    Where A₀ is the initial value

    One example of a decay is a decrease of 12% per annum

    The multiplier is 100% - 12% = 78% = 0.78

    The equation for the decay is

    y = A₀ (0.75) ˣ

    The difference between these two equations is that for the growth, we have a multiplier that is bigger than 1, whereas, for the decay, we have a multiplier that is less than 1.
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