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Anarel [89]
2 years ago
11

Im stuck on this problem. Please explain how you got your answer​

Mathematics
1 answer:
klemol [59]2 years ago
4 0

The function y=0.3^x represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

P_f=P_o*(1+\frac{R}{100}) ^t

           

Pf= future population

Po=initial population

r=growth rate

t= time (years)

growth or decay factor =  (1 ±r)

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:

y=0.3^x, then

Pf=y

Po= 1  

(1+\frac{R}{100}) =0.3 , thus

(100+R}) =30\\ \\ R=-100+30\\ \\ R=-70

r= -70%= -0.7

decay factor= (1-0.7)=0.3

Therefore,

1+R will be = 1+(-0.7)=1 - 0.7 =0.3

When 1+R >1, the function represents exponential growth.

Read more about the exponential function here:

brainly.com/question/8935549

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Answer:

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  1. Substitute in variables [Cosine]:                                                                    \displaystyle cosx^\circ = \frac{5.8}{7.3}
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  3. [Equality Property] Trig inverse:                                                                    \displaystyle x^\circ = cos^{-1}(0.794521)
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