The population P of a certain small-town t years from now is predicted to be p(t)= 35000+ 10000÷(t+3)^3 In your own method estimate the population of the town in the long run.

Q: in the year 2050.80 Assuming that the population is growing according to the model P(t) = Poe"" over…

A: Given that Population of India in 1999 was 0.998 billion. Population of India in 2050 will be 1.529…

Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: 4. Micky starts a retirement account at age 32, putting away $250 each pay period, of which he has…

A: Given that the amount of money at time, t with a rate 4% is, ft=6000e0.04t Suppose that the…

Q: 3. Nevada's population in 1990 was 14.2 million and can be modeled by y = 14.2e0.0079t where t is…

A:

Q: A certain species of fish is to be introduced into a lake, and wildlife experts estimate the…

A: Given equation is P(t)=692(2)t3 Given population is 2768 fish To find the time t, we plug in 2768…

Q: A certain species of alligators is to be introduced into a swamp, and wildlife experts estimate the…

A: Given that

Q: A population of mosquitoes increases at a daily rate of 1/2 times the current population. You can…

A: Given that A population of mosquitoes increases at a daily rate of 1/2 times the current population.…

Q: By natural increase, a city whose population is 40,000 will double in 50 yrs. There is a net…

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

Q: The population of a community grows in proportion to the population at any time t. Its initial…

A: Given data is: Initial population P=1200 R=25% Time t=8 year

Q: This question is regarding halfway decay,  Number of atoms of an isotope at time t ( in hours )…

A: Number of atoms of an isotope is decaying by f(t)=e-1.9t at time t. "t" represents in hours.…

Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A:

Q: A tank initially contains of 50 litres of brine solution with 20kg of dissolved salt. A brine…

A: Given the rate of flow in is 4 L/min and flow out is 2 L/min. So per minute the solution is…

Q: A sample of 400 g of radioactive lead-210 decays to polonium-210 according to the function A(t) =…

A: Given  400 g of radioactive lead-210 decays to polonium-210 according to the function…

Q: In an unlimited environment, there are 100 E-Coli bacteria at time = 0. Suppose the average birth…

A:

Q: Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x2 + 356.467x +…

A:

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A:

Q: population of a​ city, in​ millions, since 1990 has grown at a rate of P′(t)=0.21e^ 0.027t million…

A: I have provided solution in step2

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

A:

Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A:

Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A:

Q: 2. An efficiency study of the morning shift at a factory (7 am to noon) indicates that an average…

A: Answer

Q: Q2) The doubling time for a certain virus is 3 yr. How long will it take for the virus to increase…

A: Since there is no mention of exponential growth or population growth rate, let us take the initial…

Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/³ million barrels per year. (i)…

A: Given rate of consumption of fuel = (3t + 27)^1/3 million barrels per year. (i) In the next 10…

Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A: It is given that A certain species of deer is to be introduced into a forest, and wildlife experts…

Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A: Given p(t)=(751)3t2

Q: An investment pays out 800,000 Mexican pesos per year, continuously for 5 years. Find the PV of the…

A: Given, AmountA=800,000t=5 years

Q: Several years ago, ADTF Distributors purchased a brand new cargo plane to increase their coast to…

A:

Q: Newton-Raphson iterative technique with 6 iterations

A: We have to find out the root of vr(t). It is given that v(t)=0.250t4+0.166t3-0.500t2

Q: Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to…

A:

Q: B. A certain culture is able to sustain 100 colonies of bacteria. Initially, there were 10 colonies…

A: We need to find colonies after 24 hours.

Q: A certain species of fish is to be introduced into a lake, and wildlife experts estimate the…

A:

Q: A national fast food company has just analyzed the effect of the latest sales promotion. It has…

A: Given : S = 305,000 e- 0.4x

Q: At t years from now, one investment plan will be generating profit at the rate of 50 + t ^ 2…

A: Given ,  At t years from now, one investment plan will be generating profit at the rate of 50 + t2…

Q: The​ half-life of polonium is 139​ days, but your sample will not be useful to you after 91​%of the…

A:

Q: You own one of the stores in the newly opened City Mall. Your initial sale is 4,666.7, fortunately…

A: Here, given that your sale triples every 3 hours and t = time in hours, at t=0 and your initial sale…

Q: The population of a certain inner-city area is estimated to be declining according to the model…

A: Given: The population decline of a certain city is given as, P(t)=580000e-0.022t t- Number of years…

Q: A certain species of fish is to be introduced into a lake, and wildlife experts estimate the…

A: Population of fish

Q: Suppose the initial population is Po = 220, the point of inflection is (16,1600), and the time is…

A: We are given that the initial population is P0=220, the point of inflection is (16, 1600), and the…

Q: The population P of a city t years after 2010 is given by P (t) = 52340(1.072)' %3D According to…

A: Here we find the year in which city population is 150000.

Q: At time t years, an industry consumes fuel at the rate of (3t + 27) 1/3 million barrels per year.…

A: Given- An industry consumes fuel at the rate of 3t+2713. To Find- (a) the total amount of fuel the…

Q: A certain species of alligators is to be introduced into a swamp, and wildlife experts estimate the…

A: Given  Pt=931×4t2 where t is the number of years.

Q: he​ half-life of polonium is 139​ days, but your sample will not be useful to you after 83​%of the…

A: The given data is: The​ half-life of polonium is 139​ days but your sample will not be useful to you…

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A:

Q: After 12 hours, half of a 16 gram sample of a radioactive element remains. Find the constant k for…

A:

Q: It is predicted that, t years from now, the population of a certain town will be P(t) t²+5t+22…

A: Use first derivative for critical years and second derivatives to check maximum or minimum…

Q: A herd of 20 white-tailed deer is introduced to a coastal island where there had been no deer…

A:

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

A: here t= number of years  P(t)= population in thousand the given domain is

Q: The half-life of bismuth-210, 210Bi, is 5 days.(a) If a sample has a mass of 200 mg, find the amount…

A: a) Given  N15 (amount remaining after 15 days) = 200(0.5)^15/5= 200(0.5)^3 = 200 × 0.125 = 25 mg

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.