The population of a town is increasing by 2%, №17887288, 02.04.2023 17:42

Mathematics

The population of a town is increasing by 2% each year. The current population is 12,000. How many people will there be in 4 years?

Step-by-step answer

P Answered by PhD

4

12989 people

Step-by-step explanation:

f(x)=a(1+r)^x

a= the amount you start with

r=is the rate that it is growing

x= time intervals

12000(1+0.02)^4=12989

Mathematics

The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary school when the population reaches 100,000. If there are currently 76,000 people living in the town, how long do they have before the new school will be needed?

Step-by-step answer

P Answered by Specialist

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

= 0.062

Amount,

A = 100000

Principle,

P = 76000

As we know,

⇒ $A=P(1+\frac{r}{100} )^n$

On substituting the values, we get

⇒ $100000=76000(1+\frac{6.2}{100} )^n$

⇒ $(1+0.062)^n=\frac{100}{76}$

On taking log both sides, we get

⇒ $n \ log_e(1.062)=log_e(\frac{100}{76} )$

⇒ $n=\frac{ln(\frac{100}{76} )}{ln(1.062)}$

By putting the values of log, we get

⇒ =4.5622

or,

⇒ =4.6

Mathematics

You live in a small town where the population is currently 5000 people. However, the population is increasing by 20% each year. What will the population be in the year 2035 if it continues to grow at that rate? Round to the nearest person. (Hint: It will be 2035 in 15 years.] *

Step-by-step answer

P Answered by PhD

1

The population of each year is,

20/100 * 5000 = 1000

The population of 15 years is,

1000 * 15 = 15000

The total of 15 plus the 5000 years is,

15000 + 5000 = 20000

Thank you and please rate me as brainliest as it will help me to level up

Mathematics

You live in a small town where the population is currently 5000 people. However, the population is increasing by 20% each year. What will the population be in the year 2035 if it continues to grow at that rate? Round to the nearest person. (Hint: It will be 2035 in 15 years.] *

Step-by-step answer

P Answered by PhD

1

The population of each year is,

20/100 * 5000 = 1000

The population of 15 years is,

1000 * 15 = 15000

The total of 15 plus the 5000 years is,

15000 + 5000 = 20000

Thank you and please rate me as brainliest as it will help me to level up

Mathematics

g There are currently 100 cases of flu in a small town of population 1,000 people, and all the people of the town are susceptible and will eventually get the flu. Early in the flu epidemic, the number of cases is increasing by 20% each day. Find a logistic function that gives the number, P, of people with the flu as a function of t, the number of days from now. SHOW WORK. Do work by hand on a piece of paper in ink and then upload a pdf of your work as your answer to this question. Your function should be in the form,

Step-by-step answer

P Answered by PhD

$N(t) = \frac{1000}{1 + 0.9e^{-0.2t}}$

Step-by-step explanation:

The logistic function has the following format:

$N(t) = \frac{K}{1 + (\frac{K - P_0}{P_0})e^{-rt}}$

In which:

K is the carrying capacity(maximum population).

P_0 is the initial number.

r is the growth rate, as a decimal.

There are currently 100 cases of flu in a small town of population 1,000 people

This means that P_0 = 100, K = 1000

Early in the flu epidemic, the number of cases is increasing by 20% each day.

This means that r = 0.2

Function:

$N(t) = \frac{K}{1 + (\frac{K - P_0}{P_0})e^{-rt}}$

$N(t) = \frac{1000}{1 + (\frac{1000 - 100}{1000})e^{-0.2t}}$

$N(t) = \frac{1000}{1 + 0.9e^{-0.2t}}$

Mathematics

g There are currently 100 cases of flu in a small town of population 1,000 people, and all the people of the town are susceptible and will eventually get the flu. Early in the flu epidemic, the number of cases is increasing by 20% each day. Find a logistic function that gives the number, P, of people with the flu as a function of t, the number of days from now. SHOW WORK. Do work by hand on a piece of paper in ink and then upload a pdf of your work as your answer to this question. Your function should be in the form,

Step-by-step answer

P Answered by PhD

$N(t) = \frac{1000}{1 + 0.9e^{-0.2t}}$

Step-by-step explanation:

The logistic function has the following format:

$N(t) = \frac{K}{1 + (\frac{K - P_0}{P_0})e^{-rt}}$

In which:

K is the carrying capacity(maximum population).

P_0 is the initial number.

r is the growth rate, as a decimal.

There are currently 100 cases of flu in a small town of population 1,000 people

This means that P_0 = 100, K = 1000

Early in the flu epidemic, the number of cases is increasing by 20% each day.

This means that r = 0.2

Function:

$N(t) = \frac{K}{1 + (\frac{K - P_0}{P_0})e^{-rt}}$

$N(t) = \frac{1000}{1 + (\frac{1000 - 100}{1000})e^{-0.2t}}$

$N(t) = \frac{1000}{1 + 0.9e^{-0.2t}}$

Mathematics

g There are currently 100 cases of flu in a small town of population 1,000 people, and all the people of the town are susceptible and will eventually get the flu. Early in the flu epidemic, the number of cases is increasing by 20% each day. Find a logistic function that gives the number, P, of people with the flu as a function of t, the number of days from now. SHOW WORK. Do work by hand on a piece of paper in ink and then upload a pdf of your work as your answer to this question. Your function should be in the form,

Step-by-step answer

P Answered by PhD

$N(t) = \frac{1000}{1 + 0.9e^{-0.2t}}$

Step-by-step explanation:

The logistic function has the following format:

$N(t) = \frac{K}{1 + (\frac{K - P_0}{P_0})e^{-rt}}$

In which:

K is the carrying capacity(maximum population).

P_0 is the initial number.

r is the growth rate, as a decimal.

There are currently 100 cases of flu in a small town of population 1,000 people

This means that P_0 = 100, K = 1000

Early in the flu epidemic, the number of cases is increasing by 20% each day.

This means that r = 0.2

Function:

$N(t) = \frac{K}{1 + (\frac{K - P_0}{P_0})e^{-rt}}$

$N(t) = \frac{1000}{1 + (\frac{1000 - 100}{1000})e^{-0.2t}}$

$N(t) = \frac{1000}{1 + 0.9e^{-0.2t}}$

Mathematics

The current population of a town is 10,000. if the population, p, increases by 20% each year, which equation could be used to find the population after t years?

Step-by-step answer

P Answered by PhD

12

The equation would be:

p = 10,000 * (1 + 0.2)∧ t

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Current population of a town = 10,000 inhabitants

Growth rate of the population = 20% annually

2. Which equation could be used to find the population after T years?

p = Population of the town after t years

t = Number of years

We will use the following equation:

p = 10,000 * (1 + 0.2)∧ t

For example, let's calculate the population after 6 years, replacing with the real values, we have:

p = 10,000 * (1 + 0.2)⁶

p = 10,000 * 2.986

p = 29,860 inhabitants

Geography

(1) 1. abiotic plants that make their own food 2. biotic living parts of ecosystems 3. consumers non-living parts of ecosystems 4. decomposers eat dead plants and animals and return nutrients to the soil 5. producers eat plants or other animals (2) 1. biodiversity frozen layer of soil below the earth s surface 2. biome similar ecosystems, such as marine or desert 3. estuary transitional area between land and water systems that support aquatic life 4. permafrost place where fresh and salt water meet 5. wetlands number of plants and animals in an

Step-by-step answer

P Answered by Specialist

5

Update on Question:

Question # 10 was missing options. I have put the complete question here:

The crops grown in a small Midwestern farming community are being destroyed by grasshoppers. The farmers have banded together and have decided to spray pesticides to reduce the grasshopper population. What is likely to happen in the future as a result of this spraying?

a decrease in the bird population

an increase in crops harvested

reduced quality of groundwater

an increase in the snake population

increased precipitation

Explanation:

Answer # 1:

Abiotic substances are devoid of life, and are not derived from living organisms. They include things like carbon dioxide, sunlight, temperature, water, soil, etc. They can be organic and inorganic. Abiotic substances have significant influence over an ecosystem.

Answer # 2:

Biodiversity is the variety of plant and animal life in a particular habitat. High biodiversity is important and desirable.

Answer # 3:

water, soil, air, dead organic matter

Answer # 4:

Predators play a role in balancing the earth's ecosystems

People's activities can improve the health of an ecosystem

The parts of an ecosystem depend on each other

Your neighborhood park is an ecosystem

Answer # 5:

True

Answer # 6:

dry and hot

dry and cold

receives less than ten inches (twenty-five cm) of rain per year

Answer # 7:

Much grassland has been converted to grow crops.

Many birds of the grasslands build their nests on the ground.

The soil is rich in nutrients.

Answer # 8:

Marine Ecosystem

Answer # 9:

soil erosion

increased pollution

water runoff

reduced precipitation

Answer # 10:

a decrease in the bird population

an increase in crops harvested

reduced quality of groundwater

Answer # 11:

The ecosystem can be affected by the presence of snakes. A sudden increase in the number of predators may cause shortage of herbivore animals, which in turn may result in lower pollination and eventually cause reduction in plant growth.

Answer # 12:

Tundra

Answer # 13:

Forest

Geography

(1) 1. abiotic plants that make their own food 2. biotic living parts of ecosystems 3. consumers non-living parts of ecosystems 4. decomposers eat dead plants and animals and return nutrients to the soil 5. producers eat plants or other animals (2) 1. biodiversity frozen layer of soil below the earth s surface 2. biome similar ecosystems, such as marine or desert 3. estuary transitional area between land and water systems that support aquatic life 4. permafrost place where fresh and salt water meet 5. wetlands number of plants and animals in an

Step-by-step answer

P Answered by Master

5

Update on Question:

Question # 10 was missing options. I have put the complete question here:

The crops grown in a small Midwestern farming community are being destroyed by grasshoppers. The farmers have banded together and have decided to spray pesticides to reduce the grasshopper population. What is likely to happen in the future as a result of this spraying?

a decrease in the bird population

an increase in crops harvested

reduced quality of groundwater

an increase in the snake population

increased precipitation

Explanation:

Answer # 1:

Abiotic substances are devoid of life, and are not derived from living organisms. They include things like carbon dioxide, sunlight, temperature, water, soil, etc. They can be organic and inorganic. Abiotic substances have significant influence over an ecosystem.

Answer # 2:

Biodiversity is the variety of plant and animal life in a particular habitat. High biodiversity is important and desirable.

Answer # 3:

water, soil, air, dead organic matter

Answer # 4:

Predators play a role in balancing the earth's ecosystems

People's activities can improve the health of an ecosystem

The parts of an ecosystem depend on each other

Your neighborhood park is an ecosystem

Answer # 5:

True

Answer # 6:

dry and hot

dry and cold

receives less than ten inches (twenty-five cm) of rain per year

Answer # 7:

Much grassland has been converted to grow crops.

Many birds of the grasslands build their nests on the ground.

The soil is rich in nutrients.

Answer # 8:

Marine Ecosystem

Answer # 9:

soil erosion

increased pollution

water runoff

reduced precipitation

Answer # 10:

a decrease in the bird population

an increase in crops harvested

reduced quality of groundwater

Answer # 11:

The ecosystem can be affected by the presence of snakes. A sudden increase in the number of predators may cause shortage of herbivore animals, which in turn may result in lower pollination and eventually cause reduction in plant growth.

Answer # 12:

Tundra

Answer # 13:

Forest

The population of a town is increasing by 2% each year. The current population is 12,000. How many people will there be in 4 years?

Step-by-step answer

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