A population numbers 17,000 organisms initially and grows by 16.4% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a · b' where

Q: A bacterian culture has a initial population of 10000. If its population declines to 5000 in 6…

A: Exponential model ⇒Pt=Ae-kt⇒A=initial population ⇒k=decay rate ⇒t=Time in hours⇒Pt=Population at…

Q: The table shows the yield (in bushels per acre) and the total production (in millions of bushels)…

A: To find the logarithmic regression model for the yield, we'll use the given data:xYield…

Q: Coronavirus disease (COVID-19) is spreading in a small country with a population of 100,000 people.…

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Q: %3D If the world population in 2010 was 7 billion and it is growing exponentially with growth…

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Q: a certain strain of bacteria is placed in a petri dish as a part of an experiment.  The number of…

A: A certain strain of bacteria is placed in a petri dish as a part of an experiment.  The number of…

Q: The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B. (10).…

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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: A population numbers 17,000 organisms initially and grows by 14.6% each year. Suppose P represents…

A: Our model function is P = abt, a is the initial number of population which is 17000 and b is (1+r).…

Q: A population numbers 11,000 organisms initially and grows by 18% each year. Suppose P represents…

A: The initial population of organisms was 11,000.  It grows by 18% each year.  This basically means…

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: Cost of employee parking provided by a large firm has been increasing over the years. A business…

A: We need to find first derivative