1. The population of a town grows at a rate proportional to the population present at time t. The initial population of 100 increases by 12% in 7 years. what will be the population in 27 years ?

Q: Under laboratory conditions the half-life of ozone is approximately 25 hours. If Q =Q0ekt is the…

A: Given:- Under laboratory conditions the half-life of ozone is approximately 25 hours. If Q =Q0 ekt…

Q: 2-The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at…

A: image is attached

Q: Initially 200 millions of radioactive substance was present. After 12 hours the mass has decreased…

A:

Q: 1. The population of a town grows at the rate proportional to population present at any time t. The…

A:

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

A:

Q: The population of a certain city is projected to grow at the rate of r ( t ) = 400 ( 1 + (2 t)/(t^2…

A: Consider the given D.E. and integrate to find y(t).

Q: Question 2 [3] A radioactive substance is decaying at a rate represented by y- h(t) - Roa', in…

A: Given: y = h(t) = R0at where 0<a<1

Q: 3) A certain radioactive material loses mass at a rate proportional to the mass present. If the…

A:

Q: 4. Determine the growth constant, k, of a population that is growing at a rate proportional to its…

A: let p=population at time t so we can write  to remove the proportionality sign we need to multiply…

Q: (a) In a chemical reaction, a certain compound changes into another compound at a rate pro-…

A:

Q: Alice measures a radioactive sample at 1400 counts/minute on a Geiger counter. If the radioactive…

A: Given: Initial value, R0=1400 counts/min Ending value, R = 1000 counts/min Time that has passed, t =…

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: 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: 2. Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay…

A: Solve for the mass after time 2.2 thousand years

Q: 2. The population of a certain state is known to grow at a rate proportional to the number of people…

A: 2) Given:         Rate of increase of the population of the state is proportional to the number of…

Q: 2. The population of a town grows at a rate proportional to the population present at time t. The…

A:

Q: A large corporation starts at time t= 0 to invest part of its receipts continuously at a rate of P…

A: We have to find function

Q: If population y grows at a rate proportional to the current population, then y could be

A: This make separable differential equation

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

A:

Q: 1.The population of the Philippines has doubled in the last 50 years.The population of the…

A:

Q: 5. The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: 2. Radium decomposes in air at the rate proportional to the amount present. It is found out that in…

A: Let's find.

Q: An environmental study of a certain community suggests that t years from now the level L(t) of…

A:

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: Radium decomposes at a rate proportional to the amount present. If the half-life is 1600 years, find…

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is…

Q: _8. This refers to the initial amount of the growing quantity in the equation where the amount of t…

A:

Q: 5. A storage battery discharge at a rate which is proportional to the charge. If the charger is…

A: Given that: Rate of discharging is proportional to the charge.Charge is reduced to 50% of its…

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: 1. Calculate the doubling time for each of the following populations: a. Population A, which has an…

A: Let's try to solve,

Q: 1. An organic compound decomposes at a rate proportional to the amount present. If the half of the…

A:

Q: 14. A bacterial population B is known to have a rate of growth proportional to B itself. If between…

A:

Q: 2. The population of the earth was 3 billion in 1970 and was increasing at a rate of 2% per year.…

A:

Q: 4 The gross domestic product (GDP) of a certain country was N(t) = t? + 5t + 106 billion dollars t…

A:

Q: 4- The gross domestic product (GDP) of a certain country was N(t) = t² + 5t + 106 billion dollars t…

A:

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: radium decomposes at a rate proportional to the quantity of radium present. suppose that it is found…

A: Given the data :

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

A:

Q: A deposit of $2000 at 5% interest compounded continuously will grow to V(t) = 2000e^0.05t dollars…

A:

Q: 2. a) A ladder 10 meters long is leaning against a vertical wall with its other end on the ground.…

A: a)

Q: 4. The population of a trading area is currently 100 thousand. At time t years from now population…

A:

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

A: Solved below

Q: Suppose it is known that the population of the community in Problem 1 is 10,000 after 3 years. What…

A:

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

A:

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

A:

Q: 1. A breeder reactor converts relatively stable uranium 238 into the isotope plu- tonium 239. After…

A: Here, A(t) is the amount of plutonium remaining at time t. So, we can create the I.V.P. dAdt=kA,…

Q: 3. The rate of growth of an investment is proportional to the amount of the investment at any time…

A:

Q: 4. Calculate the average annual rate of increase in a population with 3.0 billion people (in year…

A: Given Information -  Population in year 1 = 3.0 billion Population in year 2 = 3.036 billion We have…

Q: A 5kg sample of plutonium-239 has a half-life of 21,400 years by emitting a 5.157 MeV (million or…

A: Let's find time to taken sample to degrade to 4.5kg.

Q: 3. A bowl of soup has an initial temperature of 60 degrees Celsius. The temperature decreases by 6%…

A: Initial temperature= 60 degrees temperature decreases by rate 6% each minute

Q: (b) A company has an income stream with rate of income given by f(t) = 1 – 0.02t measured in…

A: Given: A company has an income stream with a rate of income given by f(t)=1-0.02t where f(t) is…