The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an hourly rate of 1.4 percent. Using the model given by A(t) = Aoekt, estimate the number of bacteria, rounded to the nearest whole number after 20 hours.

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A: Answer

Q: 2. The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an…

A: Given  The number of bacteria at the beginning of an experiment = 30 hourly growth rate = 1.4%

Q: The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. a) What is the…

A: Applications of derivatives

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A: Given that the number of bacteria in a culture is growing at a rate 3000e2t/5 per unit of time t. At…

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: In the equation, x² +y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: Topic:- exponential growth function

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.

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A: We use differentiation and integrations to solve this problem.

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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: In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: The cost of installing insulation in a particular two-bedroom home is $2400. Present monthly heating…

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Q: Water is being pumped into a tank at the rate of r(t)= 30(1-e^(-0.16t)) gallons per minute, where t…

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A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

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A: An oral medication is absorbed into the bloodstream at the rate of 7e-0.04t.

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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

Q: Consider a tank that initially contains 100 gallons of a solution in which 50 pounds of salt are…

A: Here I am attaching image so that you understand each and every step.

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

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Q: Total net shipments of aluminum (in billions of pounds) are approximated by g(x) = 16.2 + 2.86 In(x…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.