Suppose that you are observing the behavior of cell duplication in a lab. In this experiment, you started with one cell and the cells doubled every minute. That is, the population cell is increasing at a constant rate of 100%. 1) If the container is full in ONE hour, when is the container half full? 2) Write an equation to determine the number (population) of cells after one hour. Use P(t)=

Q: How can the mortality force be changed for the share of newborns who will survive the first year…

A: For yearly compounded,        P=P0 1+rnt   where,        n=1        and r=rate of changed…

Q: The rabbit population at the city park increases by 9% per year. If there are initially 289 rabbits…

A:

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: If the population of the earth was found to be 3.5 billion in 1970, and Is Increasing at a rate of…

A: The population of the earth was 3.5 billion in 1970,  We are to find at what year population of…

Q: * Find the decay rate of each scenario below. 1. If the half-life is 6, what is the decay rate? 2.…

A:

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: Under certain water conditions, the free chiorine (hypochlorous acid /HOCI) in a swimming pool…

A: This question can be solved using the law of uninhibited decay according to which  A=A0ekt

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A:

Q: As an analyst at Decimating Capital, you are asked to estimate the future revenue of the Slate Rock…

A: The revenue function modeled by the equation Rt=0.825t0.04 Here Rt=drtdt Where r(t) is revenue…

Q: A certain drug is eliminated from the bloodstream with a​ half-life of 34 hours. Suppose that a…

A:

Q: There are 5,000 wolves in the park, but their population is expected to decay at a rate of 8% per…

A: Given, initially , wolves in the park = 5000 Decay of population = 8% per year finally , wolves in…

Q: The population of an island grows at a rate proportional to its population. If the growth rate is 5%…

A:

Q: In the 2000 U.S.​ Census, a small city had a population of 45,000. By​ 2010, the population had…

A: Given,           In the 2000 U.S.​ Census, a small city had a population of 45,000. By​ 2010, the…

Q: 2. Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

A:

Q: An initial population of 8,000 decays for two years until the population is 500. By what percentage…

A: Given-  An initial population of 8,000 decays for two years until the population is 500. To…

Q: 3. The population of a certain country is known to increase at a rate proportional to the number of…

A:

Q: 2. It is estimated that t months from now, the population of a certain town will be changing at the…

A:

Q: In a community in which R elderly people and people with comorbidities are susceptible to a…

A: To determine the percent of susceptible that had been infected after 6 weeks.

Q: It is estimated that t years from now, the population of a certain country will be P(t)=…

A:

Q: A small metal bar, whose initial temperature was 20∘C, is dropped into a large container of boiling…

A: The Newton's Law of cooling is:…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000…

A: Given:The initial number of mosquitoes is 1000. That is, P0 = 1000.The numbr of  mosquitoes is 1600…

Q: The half - life of Cobalt - 60 is 15 years. How much of an initial 105 g sample will remain after 33

A:

Q: Due to the large number of human tourists and a declining food supply, the blue-footed booby…

A: a) Given that the half-life = 13.7 years So the fraction of the booby population that will remain in…

Q: 2. It is estimated that t months from now, the population of a certain town will be changing at the…

A: This question is related to population growth, We will solve it using integration.

Q: 2. Suppose a nuclear accident releases 50 kilograms of the element Cesium 137. If the half life of…

A: Given- Intial amount of Cesium-137 is 50 kg and half life is 30 years. To find- The amount after 30…

Q: A certain drug is eliminated from the bloodstream with a half-life of 34 hours. Suppose that a…

A: Exponential decay formula: - The amount drops gradually, followed by a quick decrease in the rate of…

Q: City A has a current population of 500,00 people and grows at a rate of 3%/year. City B has a…

A: Given  City A :-  current population(P) is  500,00 people and growth rate (r) is 3% or 0.03  City B…

Q: a car sells for $12,500 and one year later it is valued at $11,375. find the decay rate of the car

A: Explanation of the answer is as follows

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: 1. The population of a certain barangay is increasing at a rate proportional to its current…

A:

Q: If the world's population grows at a rate proportional to the present population and it is recorded…

A: 20 billion population reached in 2121. Hence correct option is second one. For details calculation…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: We will use the basic knowledge of differential calculus to answer this question correctly and…

Q: the number of bacteria in a certain population increases to a continuous exponential growth rate,…

A: NOTE: Refresh your page if you can't see any equations. . the given growth rate is  r=6.2%=0.062

Q: The growth rate of a certain strain of bacteria is unknown, but assumed to be constant. When an…

A: Given that the bacteria is growing at a constant rate. Initially there were 1500 bacteria and after…

Q: The current population of a certain small town is 4,700 and is declining at a rate of 1.7% per year.…

A: The general equation for exponential decay is A = P(1 – r)t. Where, A is final population P is the…

Q: The population of Mathlandia in 1995 was 23,473 and was projected to grow at a rate of 12% per…

A:

Q: At the beginning of an experiment, a scientist has 352 grams of radioactive goo. After 225 minutes,…

A: Consider that a scientist has 352 grams of radioactive goo. After 225 minutes, the sample decays to…

Q: A species of endangered tigers has a population in 2020 of about 900, and that number is expected to…

A:

Q: If Sandago has a present population of 70,000, and the population is increasing by 3% each year.…

A:

Q: A species is considered to be endangered if it is expected to be extinct within 20 years. A…

A:

Q: 22. The half-life of radium-226 is 1620 years. a) If the current mass of a sample is 100 grams, what…

A:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A:

Q: a) If an investment grows in value at 2.4% per year, how long will it take for its value to double?…

A:

Q: Suppose for a particular commodity, e=1.7 and that currently 50,000 units are selling for $12 each.…

A: It is given that e=1.7 and total unit is 50,000 selling for $12 each. The formula to be used is…

Q: Scientists have observed that a small colony of penguins on a remote Antarctic Island obeys the…

A: We know that, P= P0ert where P is the population at time t. P0 is the initial population. r is the…

Q: If a population of is becoming extinct and the population is decaying exponentially. Assume that…

A: From given information

Q: A certain hermit wants to design a reactor using radioactive material A that will be converted into…

A: Topic :- Differential equation

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.