Mathematics, 16.07.2019 07:30 ryanbransky

In the year 2016, the estimated population of canadian geese in a city was 750. the canadian geese population is expected to grow at a rate of 12% each year. what is the canadian geese population in 2022? round the answer to the nearest whole number.

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Answer from: hcameron65

Keywords:

population, Canadian geese, growth rate

For this case, we must find the population of Canadian geese for the year 2022, taking into account that in 2016 the estimated population of geese was 750 and as additional data, the population of geese has a growth rate of 12% each year.

Then, we started finding the Canadian geese population for 2017, for this we make a rule of three:

750 -----------> 100%

x --------------> 12%

DOnde "x" represents the number of geese that is added to the base population of 2016.

$x = \frac {12 * 750} {100}\\x = 90$

Thus, the geese population for 2017 is: 750 + 90 = 840

We find the population of Canadian geese for the year 2018, following the previous steps since the annual growth rate is constant:

840 -----------> 100%

x --------------> 12%

where "x" represents the number of geese that is added to the base population of the year 2017.

$x = \frac {12 * 840} {100}\\x = 100.8$

Thus, the geese population for 2018 is: 840 + 100.8 = 940.8

We found the population of Canadian geese for the year 2019, following the previous steps since the annual growth rate is constant:

940.8 -----------> 100%

x --------------> 12%

Where "x" represents the number of geese that is added to the base population of the year 2018.

$x = \frac {12 * 940.8} {100}\\x = 112.896$

Thus, the geese population for 2019 is: 940.8 + 112.896 = 1053.696

We find the population of Canadian geese for the year 2020, following the previous steps since the annual growth rate is constant:

1053.696 -----------> 100%

x --------------> 12%

Where "x" represents the number of geese that adds to the base population of the year 2019.

$x = \frac {12 * 1053.696} {100}\\x = 126.44$

Thus, the geese population for 2020 is: 1053.696 + 126.44 = 1180.12

We found the population of Canadian geese for the year 2021, following the previous steps since the annual growth rate is constant:

1180.12 -----------> 100%

x --------------> 12%

Where "x" represents the number of geese that is added to the base population of the year 2020.

$x = \frac {12 * 1180.12} {100}\\x = 141.6$

Thus, the population of geese for 2021 is: 1180.12 + 141.6 = 1321.7

We found the population of Canadian geese for the year 2022, following the previous steps since the annual growth rate is constant:

1321.7 -----------> 100%

x --------------> 12%

$x = \frac {12 * 1321.7} {100}\\x = 158.6$

Where "x" represents the number of geese that adds to the base population of the year 2021.

Thus, the population of geese for 2022 is: 1321.7 + 158.6= 1480.3

ANswer:

The population of Canadian geese by 2022 will be approximately 1480 geese

Answer from: Quest

a negative exponent is translated as follows:

$a^{-m} = \dfrac{1}{a^m}$

so, we have

$\left(5^{-1}+3^{-1}+2^{-1}\right)^{-1} = \left(\dfrac{1}{5}+\dfrac{1}{3}+\dfrac{1}{2}\right)^{-1} = \left(\dfrac{6+10+15}{30}\right)^{-1}=\left(\dfrac{31}{30}\right)^{-1}=\dfrac{30}{31}$

Answer from: Quest

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

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