Mathematics, 14.01.2020 20:31 BardiFan

Population growth the resident populations p (in thousands) of wisconsin fron 2000 through 2009 can be modeled by the exponential function
p(t) = 5382(1.0057)t
where t is the time in years with t = 0 corresponding to 2000.use the model to estimate the population in the year (a) 2016 and (b) 2025.

Answers: 3

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Answer from: joset238

(a) 5894 thousand

(b) 6204 thousand

Step-by-step explanation:

Given:

The expression for population growth of the residents of Wisconsin is given as:

P(t)=5382(1.0057)^t

For the year 2000, the time is, t=0

(a) Population in 2016.

Difference in years from 2000 to 2016 = 2016 - 2000 = 16 years.

Therefore, the time 't' for 2016 is equal to 16 years.

Now, plug in 16 for 't' in the above expression and solve for population 'P'. This gives,

P(t)=5382(1.0057)^t

$P(16)=5382(1.0057)^{16}\\\\P(16)=5894.4\approx 5894\ thousands$

Therefore, the estimated population of the residents in 2016 is 5894 thousand.

(b) Population in 2025.

Difference in years from 2000 to 2025 = 2025 - 2000 = 25 years.

Therefore, the time 't' for 2025 is equal to 25 years.

Now, plug in 25 for 't' in the above expression and solve for population 'P'. This gives,

P(t)=5382(1.0057)^t

$P(25)=5382(1.0057)^{25}\\\\P(25)=6203.8\approx 6204\ thousands$

Therefore, the estimated population of the residents in 2016 is 6204 thousand.

Answer from: Quest

answer:

payment just for service

→

87.12

payment for service including tax

→

94.09

explanation:

service only with 20% tip

→

72.6

(

100

)

87.12

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

−−−−−−

so technically the answer is

→

72.6

(

100

)

87.12

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

87.12

(

100

)

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

100

72.60

14.52

−−−−−−

←

add

87.12

tax

100

87.12

6.97

−−−−−

←

add

94.09

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