Assume that in a certain country, the rate at which jobs are created is proportional to the number of people who already have jobs. If there are 15 million jobs at t = 0 and 15.1 million jobs 3 months later, how many jobs will there be after 2 years?

Q: An equipment currently worth $15,549 is expected to be worth $12,704 in 5 years. Assuming linear…

A: Here, given that the equipment is currently worth $15,549 and is expected to be worth $12,704 in 5…

Q: 4. If the population of a country doubles in 50 years, in how many years will it triple under the…

A: Solve the given for the timing of triple population

Q: 2. The amount of heat H (in joules) required to convert one gram of water into vapor is linearly…

A:

Q: A bacterial population B is known to have a growth rate proportional to B itself. If between 3pm and…

A: we know that population growth formula A(t)=P0ekt where A(t) : population at time t P0 : initial…

Q: 3. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A:

Q: Find the total income produced by a continuous income stream in the first 10 years if the rate of…

A:

Q: If the population (in millions) of a country as a function of time (in years) is P(t) = 10 · 2kt,…

A:

Q: A study of a certain Subanen community suggests thatt years from now, the average level of carbon…

A: Given query is to find the rate of change of carbon monoxide after 2 years.

Q: In a certain culture of bacteria the rate of increase is proportional to the number present. a. If…

A: Explained below

Q: The rate at which radioactive nuclei decay is proportional to the number of nuclei that are present…

A:

Q: Consider the constant rate of decrease of a certain microorganism. At the start, there are 10 000…

A: Let's find.

Q: Suppose that the fish population P(t)in a lake is attacked by a disease at time t=0, with the result…

A: From the given data, dPdt=βt-δtPβ=0δ=kPP0=100,000P20=1984Px=0x=?

Q: f. Assume that the population of a certain city increases at a rate proportional to the number of…

A: Note: Since the image contains multiple questions, as per the answering guidelines we are to solve…

Q: at a rate proportional to the current population, and in the absence of other factors, the…

A: Consider at time t the population of mosquitoes is N in the area

Q: A population of buffalo are becoming extinct. Assume that 150 years ago there were 200,000 buffalo,…

A: The initial population of the buffalo is after 150 years, i.e., now the population is . According to…

Q: If a population of buffalo are becoming extinct. Assume that 150 years ago there were 100,000…

A: This question is about application of differential equation

Q: Consider the constant rate of decrease of a certain microorganism. At the start, there are 50000…

A: Given query is to find the population of microorganisms after 50 second.

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Let us assume that the rate of change of the amount of material is proportional to the amount of…

Q: (a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i)…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: A bacterial population B is known to have a rate of growth proportional to B itself. If between noon…

A: We will use the exponential growth equation of bacteria .

Q: Suppose that the population of a certain collection of rare Brazilian ants is given byP(t) = (t +…

A: To find the rate of change of population P'(t), we need to differentiate the function…

Q: Suppose an unknown radioactive substance produces 22400 counts per minute on a Geiger counter at a…

A:

Q: 2. In a certain culture of bacteria, the rate of increase is proportional to the number present. If…

A:

Q: if the population of the lunar station at clavius is given by P=200 + 30t, where t is time in years…

A:

Q: 5. Consider a scenario in which a 20ft tall lamppost lights up a street. (a) her shadow on the…

A: Given query is to y find the rate of change of length of the shadow.

Q: 1. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find the present value of a continuous income stream F(t) = 40 + 5t, where t is in years and F is in…

A:

Q: It is known that the population of a certain country at time t is proportional to the people living…

A: Given:- It is known that the population of a certain country at time t is proportional to the people…

Q: Suppose that when a certain lake is stocked with fish, the birth and death rates B and 8 are both…

A: (a)

Q: Suppose that a business provides a continuous income stream with an annual rate of flow at time t…

A:

Q: ) An environmental study estimates that t years from now, the level of carbon monoxide in the air of…

A: Given that :-the level of carbon monoxide:Q(t)=0.01t3+0.1t+2.2 ppm.Q(5)=0.01(5)3+0.1(5)+2.2…

Q: 1. A body at 50 degrees C cools inside a room with temperature of 30 degrees C. At what temperature…

A: Let's find.

Q: It is estimated that t years from now the population of a city will be…

A: The given equation for population of a city is P(t)=30(50+3t)2-1400t To find instantaneous rate of…

Q: The number of children in a church is increasing at a rate that is proportional to the number of…

A: We will find the number of children after 5 years as following.

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A:

Q: (a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i)…

A:

Q: If the area A = s of an expanding square is increasing at the constant rate of 8 square inches

A:

Q: model a population p if its rate of growth is proportional to the amount present at time t

A: model a population p if its rate of growth is proportional to the amount present at time t

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

A:

Q: Find the present value of a continuous income stream F(t) = 30 + 8t, where t is in years and F is in…

A: Given: A continuous income stream is: F(t)=30+8t Where t is in years and F is in thousand of dollars…

Q: Assume the rate of investment is given by the function I (t) = ln t. Compute the total capital…

A: We solve this problem by using the capital formation i. e. Total capital accumulation=∫t,t2I(t)dt…

Q: A certain population of rabbits grows proportionally to its size. If initially there are 1000…

A:

Q: 3. In a certain culture, the rate of growth of bacteria is proportional to the amount present. If…

A:

Q: The state of decay of radium is proportional to the amount present at any time. Suppose that 400 mg…

A: Here we will find radium left after 2.5 hours and 10hours,

Q: Suppose an unknown radioactive substance produces 6400 counts per minute on a Geiger counter at a…

A:

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

A:

Q: b) Let at time t years, an industry consumes fuel at the rate of (2t + 9) million barrels per year.…

A: Given an industry consumes fuel at the rate of 2t+912 million barrels per year. If the total supply…

Q: 4. Suppose that the population of a certain collection of rare Brazilian ants is given by P(t) = (t…

A: Recall: Rate of change of P(t) is dP(t)dt. d(tn)dt=n.tn-1 d(u.v)dt=u.dvdt+dudt.v

Q: if the rate of growth of the population of deer in a forest is modeled by R(t)= 2000e^(0.23t) deer…

A: The rate of growth of the population of deer in a forest is modeled by R(t)= 2000e(0.23t) deer per…

Q: Suppose there is a population of rabbits that (when left alone) experiences population growth at a…

A: Proportionality is between two variables when when they yield fixed ratio, with certain constant…

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.