How can the mortality force be changed for the share of newborns who will survive the first year will become 10% larger? Find the answer for the case of the first k years. When does the problem have a solution? Is a solution unique?

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

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

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Q: How can the following problem be solved? The number of bacteria in a culture is increasing according…

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Q: A certain type of bacteria has a doubling time of 25 minutes. If we start with a colony of 10, 000…

A: Formula for doubling time is as below : where, N0=initial value = 10000t = time td=doubling time =…

Q: How would I find the formula for this and then estimate the population in 2023

A: detailed solution is given below

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

A: The formula  N(t) = No e(-kt)  models this decay process well, where   t     = time measured in…

Q: A grey squirrel population was introduced in a certain county of Great Britain 35 years ago.…

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Q: Your stock market investment has a half life of 1 day. Your current investment is $10,000. You would…

A: Solution: after 1-day amount will be = $5000

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

Q: The initial population of a town is 3200​, and it grows with a doubling time of 10 years. What will…

A: We have to solve

Q: In a pest-eradication program, sterilized male flies are released into the general population each…

A: Step1: Given that out of some number of flies introduced daily only 90% of flies will survived…

Q: The half life of a radioactive substance is 20 years. If you start with some amount of this…

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

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Q: For a given population, crude birth rate is 20 and crude death rate is 10. Immigration and…

A: Given, Doubling Time=70r where, r is population growth rate

Q: Find a possible formula for the exponential function through the points (0,3) and (3,24) graphed…

A: Let the exponential function be It passes through (0, 3), therefore, we have

Q: A grey squirrel population was introduced in a certain county of Great Britain 35 years ago.…

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Q: 1. A man takes 40 mg of a certain medicine. Each hour, the amount of medicine in the man's system…

A: Let's find.

Q: How long would it take for a population to double if the population growth is 0.5%? please show your…

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Q: A city has a population of 230000 people. Suppose that each year the population grows by 4% . What…

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Q: 9. The mass of a radioactive substance is 400mg and decreases by 6% per year. What is its mass after…

A: The mass of the radioactive substance is 400mg and decreases by 6% per year.

Q: A population of deer contains 10 000 individuals. During a year, 5000 individuals are born and 4500…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If Sandago has a present population of 70,000 and the population is increasing by 3% each year. 1.…

A: The function that models the population at time t is given by, Pt=P0ert, where P0 is the initial…

Q: National park service personnel are trying to increase the size of the bison population of the…

A: National park service personnel are trying to increase the size of the bison population of the…

Q: 2.A mold population is growth at 8% every three months. If there is initially 3 cubic centimeters of…

A: Formula : Population Growth: P=Po(1+r)n r= rate of growth Po =initial value P= present Value n= no…

Q: The half-life of radioactive strontium-90 is approximately 31 years. In 1960, radioactive…

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

A: According to the decay law/uninhibited decay law:  A=A0 ek·t, where A0 is the initial amount. Given:…

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

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

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

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Q: 7. A deadly bacteria doubles in size every 3 hours. If there were initially 14 spores present, how…

A: Let P(t) be the population of bacteria after t hours. To obtain P(t), substitute 14 for P0 in the…

Q: The​ half-life of a radioactive substance is 25 years. If you start with some amount of this​…

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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: Element X decays radioactively with a half life of 9 minutes. If there are 170 grams of Element X,…

A: Given- Element X decays radioactively with a half life of 9 minutes and there are 170 grams of…

Q: The​ half-life of a radioactive substance is 20 years. If you start with some amount of this​…

A: Given Half life of a radioactive substance is 20 years

Q: half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Given query is to find the the time taken to reduced the substance to 10 mg.

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

A:

Q: The​ half-life of a radioactive substance is 25 years. If you start with some amount of this​…

A: Given: Half life of a radioactive substance is 25 years. Concept used: Here we shall use the formula…

Q: The population of some native bees is declining at a rate of 6% per year. If there are 15 300 bees…

A: Given- The rate of declining =6%, intial bees in the hive = 15,300. To Find- The number of bees in…

Q: Q1) The doubling time for a certain virus is 3 yr. How long will it take for the virus to increase…

A: Here we will find out the required value.

Q: What is the law of exponential change? How can it be derived from an initial value problem? What are…

A: To define the law of exponential change and derive it from initial value problem.

Q: 2a. Assume that the world population is 6 billion people and that the birth rate is 2.25% and the…

A: Given thatworld population= 6 billionbirth rate = 2.25 %death rate = 1.25 %growth rate= birth…

Q: The half-life of sodium-25 is 1.0 minutes.  Starting with 1.0 kg how much will remain after ½ hour.…

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Q: 10. The mass of a radioactive substance is 1000mg and decreases by 7% per year. What is its mass…

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Q: The population of certain species of bats doubles every five hours, initially there are 40 Båts (a)…

A: General formula for exponential growth is given by P(t)=P0ert. Since initially there are 40 bats…

Q: 2. The population of a suburb doubled in size in an 18-month peri growth continues and the current…

A: In this question we will use basic of calculus i.e application of differential equation. We will…

Q: . Use the variation of parameters formula together with the exponential from part 3) to find the…

A: As per the question we have the following second order linear non-homogeneous differential equation…

Q: 6. Determine the initial amount of radioactive substance if after 22 years, the remaining…

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Q: Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X,…

A: Formula for half life is as below : N(t)=19 gramsN0=760t = ?t12=9 minutes

Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% ever (i) What wound be…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Scenario: A population of 30 mice is expected to double each year. The number p of mice in the…

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