A certain population has a yearly growth of 2.3%. If there are initially 3 million people, find a formula to express the population P, in millions of people; as a function of time t in years.

Q: Suppose that the population of some state in 2010 was P = 36 million and its annual percentage rate…

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A: Given:

Q: A population is currently 350 and growing at a rate of 4.5% per year. (a) Write a formula for the…

A: topic - functions a) p(t) = 350(1.045)t b) 544 c) 16

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A: Topic:- calculus

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A: Given function for the population growth is P=22,000100.163t. a. Obtain the number of year that the…

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Q: In Example 5, if the company had grown to 120 retail stores by 2008, by what percent would the…

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Q: Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.17 percent…

A: Given,  Continuous rate of population is 0.17 percent a year. Population in 1988 was 6.6 million  To…

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Q: Suppose that $79,000 is invested at 4,% interest, compounded quarterly. a) Find the function for the…

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Q: Order the functions f(x) = log2 x, g(x) = xx , h(x) = x2 , and k(x) = 2x from the one with the…

A: Consider the given functions fx=1og2x,gx=xx,gx=x2,k=2x.

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Q: In 2005, Bhutan had a population of about 2200000 and an annual growth factor of 1.0211. Let f(t) be…

A: In 2005, Bhutan had a population of about 2200000 and an annual growth factor of 1.0211. Let f(t) be…

Q: Suppose that $85,000 is invested at 5,% interest, compounded quarterly. a) Find the function for the…

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Q: A national census bureau predicts that a certain population will increase from 31.5 million in 2000…

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Q: Suppose that $68,000 is invested at 6,% interest, compounded quarterly. a) Find the function for the…

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Q: The population of a midwestern city follows the exponential law.(a) If N is the population of the…

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A: Given that the size of a bacterial culture grows in such way that after t minutes is Pt=20.001tA And…

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A: We have to find year in both the subparts of the question such that population becomes 309 million…

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Q: Find a formula for the exponential function passing through the points (– 2, 40) and (1, 5) f(z) =

A: Consider the exponential function y=abx. Substitute -2,40  and  1,5 in the above function and obtain…

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Q: 30. The population of a species is given by the function 100000 P(t) 100900e-t where t is measured…

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A: Formula details

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A: According to our company policy we can answer only first three sub parts and rest can be reposted

Q: In a natural habitat, the population of a certain species of snails is given by P= 0.8(Ae* +500),…

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Q: The half life of substance A is 22 years, and substance B decays at a rate of 30 % each decade. (a)…

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Q: The order of the growth rate of the following pair of functions are equals? a 5 log (n+ 100) b. n2

A: Concept used: The order of the growth rate in increasing order is logarithmic function Polynomial…

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Q: Find a formula for the exponential function of the form A=f(t)=IB^t passing through the points (2.5,…

A: Just satisfy the given both points in the function and find the unknown.

Q: Find the​ half-life of a radioactive​ element, which decays according to the function…

A: The decay equation is given by At = A0e-0.0256t                                         ........(1)…

Q: The population, P, of raccoons in a region is modelled by the exponential relation P = Po(2)*/20 ,…

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Q: The population of a colony of mosquitoes obeys the law of uninhibited growth.(a) If N is the…

A: Since The population of a colony of mosquitoes obeys the law of uninhibited growth.  (a) If N is the…

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Q: If the population of a city is P 6000 (1+0.09t+0.006t), where t is in years from 2000, what is the…

A: The population of a city is P=60001+0.09t+0.006t2

Q: Find a formula for the exponential function passing through the points (– 2, 250) and (1, 2) | f(x)…

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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.