How do you find the annual percent increase or decrease that $y = 0.35 {(2.3)}^{x}$ $y =0.35(2.3)^x$ models?

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Answer 1 · 2017-12-17T18:05:49

Use the formula:

$Delta% =100("NewValue"/"OldValue"-1)$

where $"NewValue" =0.35(2.3)^(x_"new")$ and $"OldValue"=0.35(2.3)^(x_"old")$

$Delta% =100((0.35(2.3)^(x_"new"))/(0.35(2.3)^(x_"old"))-1)$

$Delta% =100((2.3)^(x_"new"-x_"old")-1)$

Assuming that units of the model are in years and the difference is 1 year

$Delta% =100(2.3^1-1)$

$Delta% =100(1.3)$

$Delta% =130%$

How do you find the annual percent increase or decrease that y =0.35(2.3)^xy=0.35(2.3)xy =0.35(2.3)^x models?