12. The following exponential models describes the population (in million of people) of the indicated country starting at 2010. (Let t=0 correspond to the year 2010). All of the equations use the exponen model, A(t) = Aoekt. %3D India: A(t) = 1173.1e0.0008t Iraq: A(t) = 31.5e0.019t Japan: A(t) = 127.3e-0.006t Russia:A(t) = 141.9e¬0.005t %3D %3D Based on the exponential models for each country, answer the following questions: (a) What was the population (in millions of people) of Japan in 2010? (b) Which country has the greatest growth rate? What is the growth rate? (State as a percentage.) (c) Using the exponential model for Japan's population, in what year will Japan's population drop to 100 million people? Show all necessary algebraic work. Round to the nearest year.

Q: The following four equations represent the growth rates of different towns. PA = 1019e0.04031 Pg =…

A: (a)Town D is growing fastest since the coefficient of t is maximum in this case. (b)At present t = 0…

Q: An environmental study indicates that the average daily level P of a certain pollutant in the air,…

A: The function is Pn=0.050.7n2+5n+27. Differentiate the function with respect to n:…

Q: %3D If the world population in 2010 was 7 billion and it is growing exponentially with growth…

A:

Q: ↑ Using actual and projected data from 2000 through 2050, the number of millions of white…

A:

Q: The equation V (t) = 50000 (0.92) models the value of a car after "t" years. To the nearest whole…

A: Years

Q: opulation growth models are given for countries based on the World Health Organization’s 2006 World.…

A: Given that: R(t)=9.038(1.05)t H(t)=10.098(0.998)t     NOTE: As per our answering guidelines, we can…

Q: According to the Pew Research Center, the population of Italy for the next thirty years is projected…

A: We will find the answers of all 3 parts as following.

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

A:

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

A:

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A: Given :  Population of the United States in 2008 was 304 million people Population grows at a rate…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.