A population is now 3000 and is growing exponentiallywith a growth constant of .02, what will be the average population be during the next 50 years?

Q: bacillus subtilis, a type of a bacteria responsible for the decomposition of organic matter, grows…

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Q: Personal care aid is an occupation that is growing quickly. Assume that, in a certain region there…

A: Given information:The number of personal care aids in 2024 is 157,500, which is a growth of 28% over…

Q: What is the exponential decay?

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Q: Use a growth rate of 1.4​% to predict the population in 2061 of a country that in the year 2006 had…

A: Given, the population in 2006 = 100 million                           Growth rate(r)=1.4%=0.014

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: Country A has an exponential growth rate of 2.3% per year. The population is currently 4,485,000,…

A: Given that, Country A has an exponential growth rate of 2.3% per year. The population is currently…

Q: A colony of bacteria is increasing at the rate of 15% each hour. There are 3,500 bacteria in the…

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Q: The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If…

A: The formula for the exponential decay model is, y=C1-rt Here, y is the final amount C is the initial…

Q: Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5%per year.  To use a…

A: Given :-  Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5 % per…

Q: Suppose that in 2020 the population of a certain country is 2 million and increasing with a relative…

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

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Q: A 2019 Jeep Wrangler had a new vehicle purchase price of $30,800, now has a book value of $24,500…

A: The initial price (t=0) of Jeep Wrangler in 2019 is $30,800. After 2 years, its price is $24,500.…

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

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

Q: Oganesseon 294 has an exponential decay rate of 38.51% per millisecond what is the half life

A: Let N(t) be the amount of Oganesseon 294 at time t. Exponential decay rate is:  r = 38.51%

Q: The population of a new city started at 1,200; however, it grew at a rate of 2% each year. Express…

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Q: Write an exponential function for a population of 15,000 grows continuously at a rate of 2.5% per…

A: In this question, we need to find the exponential function for a population of 15,000 grows…

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.