A population numbers 17,000 organisms initially and grows by 4.7% each year. Suppose P represents population, and tt the number of years of growth. An exponential model for the population can be written in the form P=a⋅btP=a⋅bt where P=

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A: Given Information: Year Global plastic production 1975 46000000 1978 64000000 1981 72000000…

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A: Suppose, C(t) be the cost of goods before 1970. So, we have C(0)=100 & C(29)=42

Q: There are initially 4000 bacteria per milliliter in a sample, and after 1 hour their concentration…

A:

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

A: In 2002, a company had 80 retail stores. By 2008, the company had grown to 120 retail stores let…

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: Do these equations represent exponential growth or exponential decay? y=4 ⋅ (1.13)x y=182 ⋅ (0.9)x

A: Given, function is y=41.13x. Find y values for x=1, x=2. For x=1, y=41.131=4.52 For x=2,…

Q: Find the values of the constants a and b in an exponential function if f(0) = 25 and f(2) = 1

A: Please find the attached image below

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…

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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.