Mathematics, 25.01.2020 07:31 paracordcms

Amoose population is growing exponentially following the pattern in the table shown below. assuming that the pattern continues, what will be the population of moose after 12 years? round your answer to the nearest whole number.

Amoose population is growing exponentially following the pattern in the table shown below. assuming

Answers: 1

Show answers

Answers

Answer from: drainy0uandthefish

The population of moose after 12 years will be 7,692

Step-by-step explanation:

Exponential Growth

Some functions are adequate for modeling real-life events such as population growth, where the exponential function comes handy. The general form of an exponential function is

f(x)=a.b^x

Where a and b are constants to be determined according to the available field data. We are provided a table of values relating the time in years and the moose population.

We'll pick the first two points (0,40) and (1,62). Replacing them into the general function, we'll get the values of a and b

f(0)=a.b^0=40

which gives:

a=40

f(1)=40.b^1=62

Solving for b

b=62/40

b=1.55

The model function is

f(x)=40.(1.55)^x

Testing for other values of the table:

f(2)=40.(1.55)^2=96

f(3)=40.(1.55)^3=149

f(4)=40.(1.55)^4=231

As seen, the function is adequate to model the moose population. We are now required to find

$f(12)=40.(1.55)^{12}=7,692$

The population of moose after 12 years will be 7,692

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

Another question on Mathematics

Mathematics, 21.06.2019 12:30

Mercury poisoning is dangerous overload of mercury within the body. a major source of mercury within the body, a major source of mercury poisoning is consuming fish that contain mercury. certain fish are more prone to having higher levels of mercury than others. the pie chart shows the distribution of four breeds of fish at a hatchery. the hatchery has approximately 6,000 fish. a biologist from the centers for disease control and prevention randomly test 5% of each breed of fish for mercury content. her findings are shown in the following table. based on the biologist's findings, if a single salmon is randomly selected from those that were tested, what is the probability that this particular fish would have a dangerous mercury level? a) 0.001 b) 0.004 c) 0.02 d) 0.08

Answers: 1

Answer

Mathematics, 21.06.2019 14:30

Write a function that matches the description. a cosine function has a maximum of 5 and a minimum value of -5. f (r) =

Answers: 1

Answer

Mathematics, 21.06.2019 21:20

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74

Answers: 2

Answer

Mathematics, 21.06.2019 23:00

The measurement of one angle of a right triangle is 42° what is the measurement of the third angle? (there is no picture)