The Loth Cat population grows at a constant relative growth rate. If the population is 400 after 2 years, and 600 after 8 years, find the function that models the population growth. How long will it take for the population to double in size?

Q: suppose the population of a certain bacteria in a laboratory sample is 100. if it is doubles in…

A: Given: The population of a certain bacteria in a laboratory sample is 100 and it is doubles in…

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: Population decay

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A:

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

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A: The population is increasing per year at a constant percentage of its population. to find the year…

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Q: The population of a state is known to grow at a rate proportional to the number of people presently…

A: Follow the steps.

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A:

Q: A student is 19 years old and the world has a population of 6.6 billion. Assuming that the…

A: Given Present population (P) = 6.6 Rate (R) = 0.6% Time  (n) = 72-19= 53

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A: Given:    Half-life of radioactive cobalt =5.27 years    The proportion p that remains after y years…

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A: Number  of years - To calculate

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A: The material is decaying at a constant rate, every 12 hours it is getting halved.  So, it is an…

Q: The population of an island grows at a rate proportional to its population. If the growth rate is 5%…

A:

Q: In the 2000 U.S.​ Census, a small city had a population of 45,000. By​ 2010, the population had…

A: Given,           In the 2000 U.S.​ Census, a small city had a population of 45,000. By​ 2010, the…

Q: If the starting point is 900, and the decay rate is 3%, choose the exponential function.

A: Starting point refers to the initial value. Decay rate is 3% = 0.03

Q: The city of San Estaban had a population of 45,000 in 2015 (t=0) and was growing continuously at an…

A: Initial population =45000 Growth Rate=3%=0.03 At 2016, t=2016-2015=1 So the population in 2016 is:

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A:

Q: The graph in Figure shows the U.S. population, in millions, for five selectedyears from 1970 through…

A: a. Find an exponential growth function that models the data for 1970 through 2010.

Q: The population of a certain state is known to grow at a rate proportional to the number of people…

A: Given that 10 years the population has trembled and for  20years the population is 150000. p(t)…

Q: For a period of time, an island's population grows at a rate proportional to its population. If the…

A: The general growth formula is given by,

Q: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had…

A: Given  Population in 2000 = 45,000  Population in 2010 = 65148

Q: In the 2000 U.S. Census, a small city had a population of 45,000.  By 2010, the population had…

A: Given :population in 2000=45000popution in 2010=67132

Q: If the number of bacteria in a colony triples every 60 minutes and the population is currently 2,000…

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Q: Suppose that the price p (in dollars) and the weekly demand, x (in thousands of units) of a…

A: 6p+x+xp=94,  x=4,  p=9  &  dpdt=2 Differentiating with respect to t (time), we get…

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Q: The population of leave town is 123,000 and is decreasing at a rate of 2.375% each year  when will…

A: It's said that  population of leave town is 123,000 and is decreasing at a rate of 2.375% each year…

Q: A culture contains 2000 bacteria initially and doubles every 60 minutes. Assuming that the rate of…

A: To determine the counting function P(t) explicitly, under the given conditions

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Q: the number of bacteria in a certain population increases to a continuous exponential growth rate,…

A: NOTE: Refresh your page if you can't see any equations. . the given growth rate is  r=6.2%=0.062

Q: The growth rate of a bacteria culture is proportional to the number of bacteria present. If a…

A:

Q: The growth rate of a certain strain of bacteria is unknown, but assumed to be constant. When an…

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Q: Sunset Lake is stocked with 2000 rainbow trout, and after 1 year the population has grown to 4500.…

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Q: For the exponential decay function  =y300(0.9)x   What is the initial amount of the quantity…

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Q: Suppose Shunreca Garner invested $8000 in stocks and the investment grew exponentially to $10000 in…

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Q: The population of an endangered species decreases at a rate of 7% per year. Approximately how long…

A: Answer

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had…

A:

Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had…

A:

Q: A culture contains 1400 bacteria initially and doubles every 50 minutes. Assuming that the rate of…

A: To determine a function P(t) that models the number of bacteria after t minutes.

Q: National Park Service personnel are trying to increase the size of the bison population of the…

A:

Q: In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. Solve,…

A: Given: In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million