DIFFERENTIAL EQUATIONS: Decomposition/Growth. #1 only Direction: solve and analyze each of the following problem in neat and orderly manner.1. The population of a certain community follows the law of exponential change. If the present population of the community is 144,000 and ten (10) years ago wtas100,000 when will the population double? In ten (10) years what will be thepopulation of the community?2. The population of a country doubles in 50 years. How many years will be 5 times as much? Assume that the rate of increase is proportional to the number ofhabitants.3. Radium decomposes at a rate proportional to the amount present. If half of the original amounts disappears after 1000 years, what is the percentage loss in 100years.4. Under a certain condition, cane sugar in water is converted into dextrose at a rate proportional to the amount that is unconverted at any time. If 75 kg at t=0, 8kg are converted during the first 30 minutes, find the amount converted in 2 hours.5. A certain radioactive material follows the law of exponential change and has a half-life of 38 hours. Find how long it takes for 90% of the radioactivity to bedissipated.

Answered: Image /qna-images/answer/13d8f460-1b8d-41f7-9e27-97e138ba5476.jpg

Direction: solve and analyze each of the folle 1. The population of a certain community fol 100,000 when will the population double? In 2. The population of a country doubles in 50 habitants. 3. Radium decomposes at a rate proportional years. 4. Under a certain condition, cane sugar in w kg are converted during the first 30 minutes, 5. A certain radioactive material follows the dissipated.

Direction: solve and analyze each of the folle 1. The population of a certain community fol 100,000 when will the population double? In 2. The population of a country doubles in 50 habitants. 3. Radium decomposes at a rate proportional years. 4. Under a certain condition, cane sugar in w kg are converted during the first 30 minutes, 5. A certain radioactive material follows the dissipated.

Sustainable Energy

2nd Edition

ISBN:9781337551663

Author:DUNLAP, Richard A.

Publisher:DUNLAP, Richard A.

Chapter2: Past, Present, And Future World Energy Use

Section: Chapter Questions

Problem 6P: The total world population in 2012 was about 7 billion, and Figure 2.11 shows that at that time the...

See similar textbooks

Similar questions

The population of a certain community follows the law of exponential change. If the present population of the community is 144,000 and ten (10) years ago was 100,000 when will the population double? In ten (10) years what will be the population of the community?
The total world population in 2012 was about 7 billion, and Figure 2.11 shows that at that time the actual world population growth rate was about 1% per year. The figure also shows an anticipated roughly linear decrease in growth rate that extrapolates to zero growth in about the year 2080. Assuming an average growth rate of 0.5% between 2012 and 2080, what would the world population be in 2080? How does this compare with estimates discussed in the text for limits to human population?
The population of a state is 25,600 in the year 1800 and 218,900 in the year 1900. Calculate the expected population in the year 2000 if (a) the growth is linear and (b) the growth is exponential.
If a town having a population of 5000 in 1972 has a 20% increase every 5 years, what is expectedpopulation next year (2022)?
1- The recent population of a city is 30000 inhabitant. What is the predicted population after 30 years if the population increases 4000 in 5 years. 2- The recent population of a city is 30000 inhabitant. What is the predicted population after 30 years if the growth rate is 3.5%. 3- The population of a town as per the senses records are given below, estimate the population of the town as on 2040 by all methods.
The population of a community is known to increase at a rate proportional to the number of people present at a time t. If an initial population Po has doubled in 5 years, how long will it take to triple?
According to the statistics authority, the total population in the Philippines last 2015 reached a 100.51 million with the population growth rate of 1.36%. Determine the population of the Philippines in the year 2025 if the same growth rate will be used using the Malthusian Model.
The population of a certain country has grown at a rate proportional to the number of people in the country.at present,the country has 80 million inhabitants. Ten year ago it had 70 million assuming that this trend continues. Find an expression for the approximate number of people living in the country at any time(taking t=0 to be the present time )And the approximate number of people who will inhabit the country at the end of the next ten year period?
The population of a country as a function of time is shown in the following table. Is the growth exponential?
Population of a town today is 10000. The population has decreased steadily at the rate of 1% per year for last 10 years. Determine the population at the end of each year in the last decade.
In 2007 the average growth of the global population was 1.2 percent per year. (a) Determine the doubling time expected for the global population using this information. (b) What might prevent the population from reaching this level?
Solve the following application problems. The population of a certain community is known to increase at a rate proportional to the number of people presently living in the community. If after 5 years the population has doubled and after three vears the population is 10.000. What was the initia population? What will be the population in 10 years?