A population of bacteria is growing according to the equation P(t) = 700e0.1t Use a graphing calculator to estimate when the population will exceed 1087. t = Give your answer accurate to one decimal place.

Q: Given the rate of change of a quantity Q and its initial value Q(0), explain how to find the value…

A: Given: the rate of change of a quantity Q and its initial value Q(0), To find: the value of Q at a…

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A:

Q: Because of the absence of predators, the number of rabbits on a small island increases at a rate of…

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Q: A bacterial population is 7000 at time t = 0, and its rate of growth is 1,000 · 4t bacteria per hour…

A: It is given that at t=0 bacteria population is 7000   The growth rate is 1000*4t

Q: The growth model for a population of bacteria is given as P(t) = 50e2t where t is measured in days.…

A: Given: The growth model is  P(t) = 50e2t where t is measured in days. When P(t)= 25,000  find t

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

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A: Proceed as shown below...

Q: A population of bacteria is growing according to the equation P(t) = 650e0.13¢, Use a graphing…

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Q: Explain the method of fitting of an exponential curves of the form (i)Y = abX and (ii) Y = aebx to…

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Q: The rate growth of a population is proportional to the present population. If it is 1000 initially…

A: This question is related to the population growth, We will solve it using integration.

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A: Answer

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A: The half-life of the radioactive element is the time during which half of the radioactive element…

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Q: A population of bacteria is growing according to the equation P(t) = 1800e.16t. Estimate when the…

A: A population of bacteria growing according to the equation Pt=1800e0.16t.

Q: f) The population of a town grows at the rate of 3% per year (compounded continuously). How long…

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Q: How long will it take to triple $12000, invested at 4.5% compounded continuously? (A = Pe*t) %3D

A: We are given the initial value to be $12000 and rate r = 4.5% = 0.045. Now, we need to find that how…

Q: Suppose that electricity isdraining from a capacitor at a rate that is proportional to the voltageV…

A: Given equation in the question is: Integrating both sides: We have, at t = t0, V  = V0 =>ln(V0)…

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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Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: Given that: Rate of increase of population is proportional to the number of people in the country.At…

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Q: A bacteria colony grows at a rate of 11% per year. If the initial sample has a mass of 500 grams,…

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Q: A population of bacteria is growing according to the equation P(t)=850e0.22tP(t)=850e0.22t. Estimate…

A:

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A: Refer to the question we have to find when the Egyptian die. It is given that amount of carbon-14…

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A: represents the change in the average cost of a gallon of milk in the United States t years since…

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Q: ) An environmental study estimates that t years from now, the level of carbon monoxide in the air of…

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A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: The amount of radio active material present at time t is given by A=Aoe*t, where Ao is the initial…

A: As many Questions are given , I will solve only one: Let A0 be the initial amount. Given that a…

Q: The equation y = log(x + 2) has a vertical asymptote at:

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A: Solved below

Q: 7. If the rate of growth of a bacteria population is modeled by r(t) = 8e2t-1 thousand bacteria per…

A: Introduction: When a function is given, we determine the average value by integrating the function.…

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A:

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A:

Q: A population of bacteria is growing according to the equation P(t) = 1800e0.15t. Estimate when the…

A: Please see the answer in step 2

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A: f=5 is an equilibrium solution of an equation of change involving dfdx.

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A:

Q: The population of a city can be modeled by P(t) = 17e.04t thousand persons, wheret is the number of…

A: The population of a city can be modeled by P(t)=17e0.04t thousand persons, where t is the number of…

Q: the value of an investment is modelled by A(t)=5000e0.09t , where A is the amount the investment in…

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Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: .

Q: if the rate of growth of the population of deer in a forest is modeled by R(t)= 2000e^(0.23t) deer…

A: The rate of growth of the population of deer in a forest is modeled by R(t)= 2000e(0.23t) deer per…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.