The number of trees in a forest follows the logistic growth function f(t)=32000/1+12.8e^-0.065t where t is the time in years. what is the maximum number of trees in the forest?

Maximum number of trees will be 32000 as time grows to infinity

Step-by-step explanation:

Recall that the expression for logistic growth includes a quotient of a number (in our case 32000) divided by "1 + a number that approaches zero with time (in our case ". This is a decaying exponential function, that as "t" grows approaches zero.

Therefore, as the time increases, the denominator becomes closer and closer to 1 (one) due to the exponential factor approaching zero that is added to "1".

Then the maximum will be obtained when the quantity in the denominator becomes as small as possible, and that is as time grows. Reaching then its maximum as time goes to infinity. And that value is going to be approaching:

answer:

payment just for service  

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$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

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1

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=

$

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in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

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so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

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=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

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add

$

87.12

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8

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×

$

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$

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$

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related questions

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation: