Suppose an insect population increases by a constant percentage each month. Explain why the number of insects can be represented by an exponential function.

Q: In 1990, Jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each year.…

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Q: The number of bats in a colony is growing exponentially. After 1 year, there were 130 bats. After 4…

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

A: Given data: Diseases tend to spread according to the exponential growth model. The growth rate =…

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

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Q: function

A: We have to find the inverse of the given exponential function

Q: Can you please identify the domain and range of this exponential function?

A: Given:

Q: The count in a bacteria culture was 500 after 15 minutes and 1900 after 40 minutes. Assuming the…

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Q: In 2017, the population of a district was 20,800. With a continuous annual growth rate of…

A: Given: In 2017, the population of a district was 20,800. A continuous annual growth rate is of…

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: Describe the graph of an exponential function that has 0 < b < 1.

A: Please find attachment for the details solution

Q: Identify the exponential function from the graph

A: The given graph of f(x) is a exponential decay fuction. f(-1)=2 f(0)=1

Q: Write the formula of Exponential Growth?

A: The formula for exponential growth is given as: A=A01+rt, where A0 is the initial value  r is the…

Q: The balance owed on your credit card doubles from $1000 to $2000 in 6 months.  If your balance is…

A: Given , The balance owed on credit card doubles from 1000$ to 2000$ in 6 months.As the growing is…

Q: Explain why the fx) = x is not an exponential function.

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Q: What is the domain of this exponential function?

A: Domain of an exponential function is all real number

Q: Four months after it stops advertising, a manufacturing company notices that its sales have dropped…

A: given that,Four months after company stops advertising, a manufacturing company notices its sales…

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 number of women graduating from​ 4-yr colleges in a particular country grew…

A: let the exponential function is   P(t) =P0 ert

Q: The number of bats in a colony is growing exponentially. After 2 years, there were 120 bats. After 5…

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Q: Please provide at least 2 real-life examples of Exponential functions

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Q: What shape best describes the graph of an exponential​ model?

A: The graph of the exponential function is,

Q: The count in bacteria culture was 400 after 10 minutes and 1700 after 35 minutes. Assuming the count…

A: Let growth takes exponentially by the below equation;- N=N0ekt N0=Initial Populationk=Growth rate…

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: The count in a bacteria culture was 400 after 15 minutes and 1400 after 35 minutes. Assuming the…

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Q: how would i graph this exponential function?

A: Given,           y=-22x

Q: Define, in a practical sense, what is meant by exponential service time.

A: Service process: Service process is the process, which produces intangible outcome. It does not have…

Q: do the points (0,1), (1,5), (2,25) represent an exponential function?

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Q: Statistics Canada has been tracking the number of farming families in Alberta. In 2005, there were…

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Q: Because carbon-14 decays exponentially, carbon dating can determine the ages of ancient…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Suppose a $40,000 car loses 13% of its value each year. Write an exponential equation and use it to…

A: Given- $40,000 , and its loses 13% of its value each year. To find-  In how many years (to the…

Q: how to use a calculator to approximate an exponential function like 23.4 or 32.4 Or can you show me…

A: In order to approximate the value 23.4 or 32.4, turn on T1-83 calculator and then click the MODE…

Q: The population of rabbits on an island is growing exponentially. In the year 2005, the population of…

A: In 2005, population, P1=6900   In 2012, population, P2=13500

Q: Suppose the population of spiders in a sanctuary grows exponentially. After one day, 
there were 50…

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Q: explain how the graph of an exponential function can be used to graph a logarithmic function

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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: A petri dish currently has a population of 10 bacteria and the population doubles every year. Write…

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Q: A global recession caused a restaurant chain’s annual profits to fall. In 2018, the annual return is…

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Q: Which table best represents an exponential function

A: Given, To find table that represent exponential function

Q: what is the equation of the exponential function that goes through the points (1,10) and (4,80)?

A: solution:-

Q: For the set of points to the right, determine whether an exponential function, a logarithmic…

A: The function y=logex is the inverse function of y=ex. This is how the exponential graph would look…

Q: The hourly wage of workers was raised once a year and grew exponentially from $7.007.00 to $9.879.87…

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Q: Click all equations that are Exponential decay. *

A: We know that,         The equation in exponential decay function is given by             y=a1-rx ;…

Q: There were (303) people affected by corona pandemic in a region on 1st January, 2021. How long it…

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Q: Sales of portable MP3 players grew approximately exponentially from ​$0.05 billion in 1999 to ​$0.60…

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Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

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Q: What is an exponential equation?

A: The exponential function is one of the most important functions in mathematics (though it would have…

Q: A scientist begins with 100 mg of a radioactive substance that decays exponentially. After 35…

A: It is given that 50 mg of the substance remains after 35 hours. SO half of the substance remains…

Q: The count in a bacteria culture was 200 after 20 minutes and 1700 after 35 minutes. Assuming the…

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Q: A population of bacteria grows exponentially and their population doubles If the initial observation…

A: NOTE: Refresh your page if you can't see any equations. . here we have the initial population is…

Q: There were ( 376 ) people affected by corona pandemic in a region on 1 January , 2021. How long it…

A: Using differential equations we can model up a formula for exponential growth rate. Here we use such…

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.