The population of an endangered bird is decreasing at a rate of .7% per year. There are currently about 200,000 of these birds. What exponential model would be a good model for the population of these endangered birds? Write the model in simplest form.

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: The exponential growth model is defined as, y = a(1 + r)t, where a is the initial amount, r is the…

Q: In the first six months of the 2014 Ebola outbreak, the total number of reported cases was…

A: There were 100 cases as of April 2014 and it increases continuously at the rate of 72% per month.…

Q: find the exponential model that fits the points (2,9) and (0,1)

A: According to the problem, we have

Q: Write the equation of an exponential function with an initial value of 7 and a decay factor of 0.27

A:

Q: Biologists stocked a lake with 700 fish and estimated the carrying capacity to be 6300. The number…

A: Dear student you are not provide what are a ,c ,b stand for . We are calculate the value in terms of…

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: Given ,  The population of the world in 1987 was 5 billion and the annual growth rate was estimated…

Q: The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2…

A: This question is based on exponential Function.

Q: Use the exponential decay​ model, A=A0ekt​, to solve the following.   The half-life of a certain…

A: To calculate the decay time of the substance under the given conditons

Q: In​ 2000, the population of a country was approximately 6.32 million and by 2097 it is projected to…

A:

Q: The earth's atmospheric pressure, P, in terms of height above sea level is often modeled by an…

A: the exponential function is given by P=a1-rh here initial pressure is a=1013 millibar and the…

Q: The value of an investment is increasing exponentially. In year one the investment was 1500 and this…

A:

Q: The population of rabbits on an island is growing exponentially. In the year 2001, the population of…

A: please see the explanation below

Q: After 245 years half of a sample of radioactive element remains. Write the equation for modeling its…

A: First form the differential equation than solve it.

Q: Consider a population that begins growing exponentially at a base rate of 8​% per year and then…

A:

Q: A population is growing exponentially with growth constant .04. In how many years will the current…

A: Exponential model is Pt=P0ekt Where Pt=Population at any time 't' P0=Initial population t= time…

Q: Use the exponential decay model, A = Agekt, to solve this exercise. The half-life of polonium-210 is…

A: Consider that exponential decay model of polonium -210 follows: A=A0ekt. Given half life is 140…

Q: If the starting point is 900, and the decay rate is 3%, choose the exponential function.

A: Starting point refers to the initial value. Decay rate is 3% = 0.03

Q: How can you tell whether an exponential model describes exponential growth or exponential decay?

A: An exponential model is of the form A=A0ekt where A0is the original amount or size of the entity at…

Q: Assume an exponential function has a starting value of 13 and a growth rate of 0.35%. Write an…

A: If a is initial value , r is growth rate expressed as decimal, x is number of time intervals passed…

Q: The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. Find an exponential…

A: Given information, Population of the world in 1990 P0=5.28 billion…

Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity to be 7700. The number…

A: Given: Initially, stocked fish=500……1Carrying capacity of lake=7700……2In first year, number of…

Q: A city had a population of 10,000 in 2000 and a population of 12,000 in 2020. If its population…

A: Given that, A population of 10,000 in 2000 and a population of 12,000 in 2020. Calculate the…

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: We have to find the projected population.  The solution is following.

Q: Country A haS a growth rate of 3.296 per year. The population is currently 5,965,000, and the land…

A: Let P be the population of country A after t years. Given that the growth rate of country A is 3.2%…

Q: Red Hook has a population of 6,200 people and is growing at a rate of 8% per year. Rhinebeck has a…

A:

Q: If the number of bacteria in a colony triples every 60 minutes and the population is currently 2,000…

A: Initial population= 2000 Growth factor = 3 Tripling time = 60 minutes  So the exponential model is…

Q: In Russia, the average consumer drank two servings of Coca-Cola in 1993. This amount appeared to be…

A:

Q: You decide to invest $250 in an account that yields a return of approximately 4% each year. If yo…

A:

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: Given query is to find the population of the world after 5 years.

Q: The population of Earth is approximately 6.8 billion people and is growing at an annual rate of…

A: Given , Present population P=6.8 billion, Rate R=1.133% Time t=30 year, Aim:- To find population…

Q: A turkey is pulled from the oven when the internal temperature is 165° Fahrenheit, and is allowed to…

A:

Q: The small intestine bacteria, while inhabiting areas optimal for growth, have a doubling time of…

A: The exponential growth can be studied using the exponential growth function. The formula for the…

Q: A fruit fly population of 24 flies is in a closed container. The number of flies grows…

A: The number of flies f(t) will be governed by the equation, f(t) = 24etτ, where τ is the time…

Q: The population of a country was 109 million in 1984 and the continuous exponential growth rate was…

A:

Q: A car costs $30,000 when purchased as new and depreciates at a rate of 18% per year. 1. Write an…

A: Given : A car costs $30,000 when purchased as new and depreciates at a rate of 18% per year.   To…

Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity to be 9400. The number…

A:

Q: The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. (a) Find an…

A:

Q: A population numbers 567 organisms initially and increases by 2.4% each year. Suppose P represents…

A: Given data is : The initial population of an organism is P0=567 Increases by 2.4% each year,…

Q: The population of a country was 66 million in 1987 and the continuous exponential growth rate was…

A: Exponential growth model

Q: A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to…

A: Given: B(0)  = 500, B(2) = 200, B = B0akt

Q: If an initial population of 32 grows exponentially at a rate of 50% per year, then what will the…

A: Given,          An initial population of 32 grows exponentially at a rate of 50% per year.We know…

Q: The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. Find an exponential…

A: Let the model be Pt=P0.ekt→(1) Consider t=0 as 1990 P0 is the population when t=0, Therefore,…

Q: A population is now 3000 and is growing exponentiallywith a growth constant of .02, what will be the…

A:

Q: The population of Brgy. Sta. Isabel starts with 1,000 individuals and triples every 50 years. (a)…

A: Solution:-

Q: Soon after taking aspirin, a patient has absorbed  300 milligrams of the drug. After 2 hours, only…

A: Let ‘x’ denotes the amount of aspirin in bloodstream after ‘t’ hrs. The exponential model which…

Q: The current student population of Pittsburgh is 2100. If the population decreases at a rate of 11.8%…

A:

Q: Can you do this exponentially?

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

Q: The population of a country was 222 million in 1996 and the continuous exponential growth rate was…

A:

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.