The population of a city can be modeled by P(t) = 17e.04t thousand persons, wheret is the number of years after 2000. Approximately how rapidly will the city's population be changing in 2020?

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

A: Proceed as shown below...

Q: You have 500-grams of an unknown radioactive substance that has been determined to decay according…

A: D(t) = 500e-0.001904.tLet substance take x years to become half of the initial ammount.After x years…

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A: Let the required exponential model be, ft=a·bt   →1 Given that ft=249.1 when t=0, therefore from…

Q: Suppose the population of a colony of ants grows at the rate P'(t) = 1 +   5 /(√ t + 1)   If…

A: Given, P'(t) = 1 + 5t+1 when t = 120 hours  then P(t) = 250  Thenm  when t = 0 hours then P(t) = ?

Q: the decay of 10 grams of a substance is given by the equation A=10(0.76)t where t is in hours.how…

A: To use the exponential model for decay to determine the required time .

Q: The city manager of Playa Linda estimates that water is being consumed by his community at a rate of…

A: Answer

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Q: A population of bacteria is growing according to the equation P(t) 1800e 0.09t. Estimate when the…

A: The population is given as a function of time. So put the population to get the answer.

Q: The population of a city can be modeled by P(t) = 30e0.0st thousand persons, where t is the number…

A: Given population function is

Q: The population of a city can be modeled by P(t) = 24e0.0st thousand persons, where t is the number…

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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: 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:

Q: The gross domestic product (GDP) of a certain country was N(t) = t² + 5t + 106 billion dollars t…

A: This is application of derivative so take the derivative and than put the value of time t.

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

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Q: 5. Consider a scenario in which a 20ft tall lamppost lights up a street. A 5ft tall woman stands…

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Q: A population of bacteria is growing according to the equation P(t) = 1950e" 10. Estimate when the…

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Q: If ω'(t) is the rate of growth of a child in pounds per year,what does  ∫510 ω'(t)  dt   represent?

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Q: The rate of growth of the fish population was modeled by the equation G(t) =…

A: Given:

Q: Estimate the instantaneous rate of change of P(t) = 2t² – 6 at the point t = - 2 |

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

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Q: b) Find the equation of the line tangent to the graph of y=log; (5x +1) at x = 2

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Q: Suppose that y = C(t) represents the average cost of a gallon of milk in the United States t years…

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: Suppose a population of fruit flies changes at a rate of g(t) = -4e0.041, in flies per day. If the…

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A: Given data: The trend of revenue decrease is, rt=411e-0.321t

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Q: How do we do this question? Thank you

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Q: A population of bacteria is growing according to the equation   P(t)=1550e^0.06t, where t is the…

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Q: A mass of 100 grams of a particular radioactive substance decays according to the function m(t) =…

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Q: The value of a computer t years after purchase is V(t) = 2, 000e-0.35t dollars. At what rate is the…

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Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

A: Given:

Q: Suppose a population can be modeled by P(t) = %3D 200(1.052)*, where P(t) is in thousands and time…

A: Exponential function: - An exponential function in mathematics is one of the form f(x)=ax, where "x"…

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  find t when m=50…

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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.…

Q: Suppose $13000 is invested at 10% interest compounded continuously. How long will it take for the…

A: Solution Given Suppose $13000 is invested at 10% interest compounded continuously  we need to…

Q: Biologists stocked a lake with 600 fish and estimated the carrying capacity to be 7400. The number…

A: The form of the logistic equatIon is: y(t)=c1+aebt The carrying capacity is: 7400 Therefore c = 7400

Q: if f=5 is an equilibrium solution of an equation of change involving df/dx, what is the value of…

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

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

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Q: Suppose a pollutant is seeping into the ground near a dump site at the rate of 7200 f(t) (* + 1.5)"

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Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

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: At time t=U years, a ranch has a population of 25 deer If the rate of growth of the population is…

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Q: 2. The number of milligrams B of a medication in the bloodstream t hours after a does is taken can…

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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…