Please answers with the work not just answers.Thank you. 1. The world population in 2000 was approximately 6.08 billion. Theannual rate of increase was about 1.26%.a. Find the growth factor for the world population.b. Suppose the rate of increase continues to be 1.26% . Write afunction to model the world populationc. Let x be the number of years past the year 2000. Find theworld population in 2010.2. A computer valued at $6500 depreciates at the rate of 14.3% peryear.a. Write a function that models the value of the computer.b. Find the value of the computer after three years.3. The population of a certain animal species decreases at a rate of3.5% per year. You have counted 80 of the animals in the habitatyou are studying.a. Write a function that models the change in the animalpopulation.b. Graph the function. Estimate the number of years until thepopulation fist drops below 15 animalsExponential Growth and Decay Word Problems4. Write an exponential function to model each situation. Find thevalue of each function after five years.a. A $12,500 car depreciates 9% each yearb. A baseball card bought for $50 increases 3% in value eachyear. 5. A new car that sells for $18,000 depreciates 25% each year. Write afunction that models the value of the car. Find the value of the carafter 4 yr.6. A new truck that sells for $29,000 depreciates 12% each year. Write afunction that models the value of the truck. Find the value of the truckafter 7 yr.7. The bear population increases at a rate of 2% per year. There are1573 bear this year. Write a function that models the bear population.How many bears will there be in 10 yr?Exponential Growth and Decay Word Problems8. An investment of $75,000 increases at a rate of 12.5% per year. Findthe value of the investment after 30 yr.9. The population of an endangered bird is decreasing at a rate of 0.75%per year. There are currently about 200,000 of these birds. Write afunction that models the bird population. How many birds will there bein 100 yr?

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Description: Please answers with the work not just answers.Thank you. 1. The world population in 2000 was approximately 6.08 billion. Theannual rate of increase was about 1.26%.a. Find the growth factor for the world population.b. Suppose the rate of increase con

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1. The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. a. Find the growth factor for the world population. b. Suppose the rate of increase continues to be 1.26% . Write a function to model the world population c. Let x be the number of years past the year 2000. Find the world population in 2010. 2. A computer valued at $6500 depreciates at the rate of 14.3% per year. a. Write a function that models the value of the computer. b. Find the value of the computer after three years. 3. The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of the animals in the habitat you are studying. a. Write a function that models the change in the animal population. b. Graph the function. Estimate the number of years until the population fist drops below 15 animals

1. The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. a. Find the growth factor for the world population. b. Suppose the rate of increase continues to be 1.26% . Write a function to model the world population c. Let x be the number of years past the year 2000. Find the world population in 2010. 2. A computer valued at $6500 depreciates at the rate of 14.3% per year. a. Write a function that models the value of the computer. b. Find the value of the computer after three years. 3. The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of the animals in the habitat you are studying. a. Write a function that models the change in the animal population. b. Graph the function. Estimate the number of years until the population fist drops below 15 animals

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

Topic Video

Question

Please answers with the work not just answers.

Thank you.

1. The world population in 2000 was approximately 6.08 billion. The
annual rate of increase was about 1.26%.
a. Find the growth factor for the world population.
b. Suppose the rate of increase continues to be 1.26% . Write a
function to model the world population
c. Let x be the number of years past the year 2000. Find the
world population in 2010.
2. A computer valued at $6500 depreciates at the rate of 14.3% per
year.
a. Write a function that models the value of the computer.
b. Find the value of the computer after three years.
3. The population of a certain animal species decreases at a rate of
3.5% per year. You have counted 80 of the animals in the habitat
you are studying.
a. Write a function that models the change in the animal
population.
b. Graph the function. Estimate the number of years until the
population fist drops below 15 animals
Exponential Growth and Decay Word Problems
4. Write an exponential function to model each situation. Find the
value of each function after five years.
a. A $12,500 car depreciates 9% each year
b. A baseball card bought for $50 increases 3% in value each
year.

5. A new car that sells for $18,000 depreciates 25% each year. Write a
function that models the value of the car. Find the value of the car
after 4 yr.
6. A new truck that sells for $29,000 depreciates 12% each year. Write a
function that models the value of the truck. Find the value of the truck
after 7 yr.
7. The bear population increases at a rate of 2% per year. There are
1573 bear this year. Write a function that models the bear population.
How many bears will there be in 10 yr?
Exponential Growth and Decay Word Problems
8. An investment of $75,000 increases at a rate of 12.5% per year. Find
the value of the investment after 30 yr.
9. The population of an endangered bird is decreasing at a rate of 0.75%
per year. There are currently about 200,000 of these birds. Write a
function that models the bird population. How many birds will there be
in 100 yr?

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