Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of  2100  bacteria selected from this population reached the size of  2335  bacteria in three hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model.   Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.

Q: bacillus subtilis, a type of a bacteria responsible for the decomposition of organic matter, grows…

A:

Q: If a total number of infections of a viral disease was observed to be 48 in day 27 and 900 in day…

A: Since the growth is exponential , so it is of the form P(t)=P0ert where P(t) is the number of…

Q: The population of the world in 1987 was 5 billion and the continuous growth rate was estimated at…

A:

Q: Personal care aid is an occupation that is growing quickly. Assume that, in a certain region there…

A: Given information:The number of personal care aids in 2024 is 157,500, which is a growth of 28% over…

Q: Use a growth rate of 1.4​% to predict the population in 2061 of a country that in the year 2006 had…

A: Given, the population in 2006 = 100 million                           Growth rate(r)=1.4%=0.014

Q: Assume that the effects of advertising can be described by exponential decline. If 40% of those who…

A: Given: 40% of those who saw the ad remember her after three days.

Q: Personal care aide is an occupation that is growing quickly. Assume​ that, in a certain​ region,…

A: Personal Care Aide: Personal care aide is also known as health care aide. Health care aide provide…

Q: The population of your area is estimated to increase by 10% each year. As of the last census, the…

A: Let P0 be initial population  P0 = 15,000 r = 10%=0.1 (We need to convert percentage to decimal by…

Q: The public school enrollment of a city is 13, 500. Enrollment is declining at a rate of 4.5% per…

A:

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Q: Personal care aide is an occupation that is growing quickly. Assume​ that, in a certain​ region,…

A: The number of personal care aids in 2024 is 195,686, which is a growth of 29% over 2014.Denote y as…

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.