The population of a region is growing exponentially and continuously. There are 40,000,000 people in 2000 (t = 0) and 48,000,000 in 2010. What population, to the nearest million, would you predict in 2016?

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Q: Find a formula for the exponential function passing through the points (-2, ) and (2,32) y =

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Q: Write an equation for an exponential growth function   y=f(x) where the initial population is 6000…

A: The exponential growth function with initial population A and growth factor k is represented by,

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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: Biologists stocked a lake with 700 fish and estimated the carrying capacity to be 9700. The number…

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Q: Find a formula for the exponential function passing through the points (-1,5252) and (2,20) y= ?

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Q: Stan invests $8,500 at age 16. He hopes the investment will be $12,500 when he turns 22. If the…

A: Here is the solution.

Q: 3. Log-linearize the equation, x, +a = (1-b)

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Q: The amount of money in an account grows exponentially according to the function A(t)=A0ekt. If the…

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Q: Find a formula for the exponential function passing through 2 the points (-1,=) and (1,10) y =

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Q: Find a formula for the exponential function passing through the points (-1, 1/2) and (2, 32).y =

A: Let the function is y=a(bx) Given, it passes through (-1, 1/2) and (2, 32).

Q: Biologists stocked a lake with 600 fish and estimated the carrying capacity to be 3300. The number…

A: Given that the biologists stocked a lake with 600 fish and estimated carrying capacity to be…

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…

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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

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A: Exponential function

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A: Given,Initial Population is 3000Growth factor is 1.085

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Q: Use the exponential growth model,A = A0ekt, to solve: In 1975, the population of Europe was 679…

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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 number of bats in a colony is growing exponentially. After 1 year, there were 70 bats. After 4…

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Q: Find a formula for the exponential function passing through the points (-1,5/4) and (2,80) y =

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

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Q: How do I write the exponential function in the form f(t) = ab^t for the points (0 ,3) and (2, 75)?

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Q: A petri dish has 10,000 bacteria in it. After 2  hours the bacteria's population increased to…

A: This question is based on exponential Function.

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Q: Find a formula for the exponential function passing through the points (-1,5) and (3,54) y =

A: use the general form of exponential function . and use this point to get the coefficient of…

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Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity to be 6200. The number…

A: Given that,        Biologists stocked a lake with 500 fish and estimated carrying capacity to be…

Q: You are investing $6000thatwillearn 5.0%interestcompounded continuously.How much is your investment…

A: The formula for continuous compounding is                                           Pt=P0ert…

Q: Find a formula for the exponential function passing through the points (-3, and (1, 20). 64 y =

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Q: Find a formula for the exponential function passing through the points (-3,5858) and (3,40). Solve…

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Q: Find a formula for the exponential function passing through the points (-2, and (2, 32). y =

A: Topic- exponential function

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A: Given; A=Ao e^(-0.0001213)

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.