Population of a city was 48,000 in 1990 and 42,000 in 2000. Assuming an exponential model, estimate the population in 2005.

Q: Assume that the number of bacteria follows an exponential growth model: P(t)=P0ekt. The count in the…

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Q: Researchers find that there are 70 Raccoons on an island. When they return a year later, they find…

A: Given information Original population=70 New population=84 We have to find the annual growth factor…

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: Assume the revenue in the year 2000 was $ 800,000, and in the year 2002 it was $ 600,000. Assuming…

A: We will use exponential growth/decay formula to find expected revenue

Q: Diseases tend to spread according to the exponential growth model. In the early days of a pandemic,…

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Q: The population of a country was 101 million in 1990 and the continuous exponential growth rate was…

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Q: Write an exponential function that has an initial value of $200 and a growth rate of 5%.

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Q: An initial population of 745 quail increases at an annual rate of 16%. Write an exponential function…

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Q: Use the exponential growth model, A = A0ekt. In 1975, the population of Europe was 679 million. By…

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Q: The population of a Midwestern city decays exponentially. If the population decreased from 900,000…

A: To find - Population in 2008.

Q: Use the exponential decay model for carbon-14, A = A0e-0.000121t,to solve:Skeletons were found at a…

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Q: If the starting point is 30, and the growth rate is 15%, choose the exponential function.

A: To find the exponential function with the given data

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

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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 this exercise. The half-life of polonium-210 is…

A: Given half life of polonium-210 is 140 days i.e. in 140 days, the amount becomes half. Using the…

Q: A savings account has an initial balance of $1,000 and earns 3 percent interest compounded monthly.…

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Q: The population of a country was 117 million in 1998 and the continuous exponential growth rate was…

A: Initial population= P= 117 million  Continuous growth rate = 3.3%= 0.033 Number of years from 1998…

Q: A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a…

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Q: A radioactive substance decays exponentially. A scientist begins with 200 milligrams of a…

A: Formula: N(t)=N0exp-0.693tt1/2whereN0=initial amount of substancet1/2=half life of…

Q: Explain the mathematical model for the exponential growth or decay.

A: Explain the mathematical model for the exponential growth or decay

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: Identify the initial amount and the growth or decay factor for the exponential function. _y = 250 ·…

A: In  an exponential function y=abx, a represents the initial value, b represents growth or decay…

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: In 2013, the population of a colony is 18500, and is increasing exponentially at a rate of 10.7% per…

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

A: Let the equation for the population (P) growth be given by, P = Poert  ; where 'Po' is the initial…

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: 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: The population of an endangered bird is decreasing at a rate of .7% per year. There are currently…

A: given that there are currently about p = 200000 of these birds. Rate of decreasing is r = 0.7% per…

Q: A car is purchased at $18,000. The car depreciates by 5% each year. Give the exponential model. How…

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Q: Alcohol After a large number of drinks, a person has a blood alcohollevel of200 mg/dL (milligrams…

A: Solution:GivenA=200To find the exponential modelLet the exponential function be y=Abt

Q: Match the exponential function with its graph. II III IV yA

A: Concept used: The graph of the function y=aex or y=axis shown below where a is the real number.…

Q: The 2010 population of Asia was 4121 million; in 2050, it is projected to be 5231 million. Write the…

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

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

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

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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 population numbers 11,000 organisms initially and grows by 8.5% each year. Write an exponential…

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Q: The population of a country was 262 million in 1985 and the continuous exponential growth rate was…

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Q: 1. In 1958 the carbon dioxide level was 316ppm, today (2022) it is 416ppm. Find the exponential…

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

A: Given that, at t=0 the value of the aspirin is 300 mg. It is known that, the formula for the…

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

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Q: Joe scraped his knee after falling off his skateboard, leaving a wound with an area of 291 mm^2. The…

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Q: Use the exponential decay model A = A0ekt, to solve this excercise. The half-life of aspirin in your…

A: Given: The half-life of aspirin in our bloodstream is 12 hours. To find the time will it take for…

Q: The population of a country was 147 million in 1987 and the continuous exponential growth rate was…

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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.