elvishwitchxyp

2021-12-31

Find the annual percent increase or decrease that $y=0.35{\left(2.3\right)}^{x}$ models.

eninsala06

Beginner2022-01-01Added 37 answers

Given model

$y=0.35{\left(2.3\right)}^{x}$ (1)

We know the exponential growth function

$y=A{(1+\gamma )}^{x}$ (2)

Where A = initial amount

$\gamma$ = annual percent

x = numbers of years

From equation (1) and (2)

$A=0.35$

$1+\gamma =2.3$

$\Rightarrow \gamma =2.3-1$

$\Rightarrow \gamma =1.3$

$\Rightarrow \gamma =1.3\times 100\mathrm{\%}$

$\gamma =130\mathrm{\%}$

We know the exponential growth function

Where A = initial amount

x = numbers of years

From equation (1) and (2)

22+64

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