A culture of bacteria obeys the law of natural exponential growth. If 140,000 bacteria are present initially and there are 609,000 after 6 hours, how long will it take the population to reach one million?

Q: suppose the population of a certain bacteria in a laboratory sample is 100. if it is doubles in…

A: Given: The population of a certain bacteria in a laboratory sample is 100 and it is doubles in…

Q: A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a…

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Q: The population of bacteria cells in a dish grows exponentially at a rate of 5% per hour. If there…

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Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

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Q: The count in a bateria culture was 800 after 15 minutes and 2000 after 30 minutes. Assuming the…

A: Let I be the initial size of culture,  the exponential growth formula is given by

Q: The population of the city is declining according to the exponential law. if the population went…

A: To find the population in 2022

Q: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day.  Use…

A:

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: After 3 hours, there are 100 bacteria, and after 5 hours, there are 400 bacteria. Let the…

Q: If a certain substance exponentially decays from 100 grams to 20 grams in 3 years. How much of the…

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Q: A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a…

A:

Q: The population of bacteria cells in a dish decays exponentially at a rate of 5% per hour. If there…

A: Given,          The population of bacteria cells in a dish decays exponentially at a rate of 5% per…

Q: This year there were 25,000 new births in a large county, but new births are expected to decay…

A:

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: A culture of a certain bacterium grows according to the law of exponential growth. If there were 130…

A: 1. The exponential growth is given by the where N(t) is the no of insects at a time t .N0 is the…

Q: The population of a southern city follows the exponential law. If the population doubled in size…

A:

Q: Suppose that the bacteria in a colony can grow unchecked, by the law of exponential change. The…

A: The colony starts with 1 bacterium and doubles every half-hour.So doubling time of the bacteria =…

Q: What amount must be invested at 9% compounded continuously, so that it will be worth $35,000 after 5…

A: The total amount (A) obtained after t years by investing an initial amount of P in a firm or account…

Q: A city had a population of 10,000 in 2000 and a population of 12,000 in 2020. If its population…

A: Given that, A population of 10,000 in 2000 and a population of 12,000 in 2020. Calculate the…

Q: The population of a certain community follows the law of exponential change. If the present…

A: Topic = Algebra

Q: Suppose that the town of Grayrock had a population of 10,000 in 2014 and a population of 12,000 in…

A: The exponential growth can be generalized as y=art where a represents the initial value, y…

Q: Consider a population that begins growing exponentially at a base rate of 4.1​% per year and then…

A: Given that a population is begins growing exponentially at a base rate of  r=4.1% per year and then…

Q: The size of a threatened population of bottlenosed dolphins is decaying exponentially with a…

A: To find out the population after 9 months.

Q: The population of a southern city follows the exponential law. If the population doubled in size…

A: The exponential equation for finding doubled the population is,

Q: 9. The number of bacteria in a Petri dish grows exponentially, starting with just 1 bacterium, but…

A:

Q: The population of a southern city follows the exponential law. if the population doubled in size…

A: Explanation of the solution is given below...

Q: Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the…

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Q: A radioactive substance decays exponentially. A scientist begins with 170 milligrams of a…

A: Given that a radioactive substance decays exponentially. A scientist begins with 170 miligrams of a…

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: Assume that an insect population grows according to the law of exponential growth. After the third…

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Q: If the population of a country is 100 million people and the population is increasing exponentially…

A:

Q: The population of a new city started at 1,200; however, it grew at a rate of 2% each year. Express…

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Q: How much money must be invested now at 10% interest compounded continuously so that $120,000 will be…

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Q: Carbon decays exponentially. How many grams of the carbon will be left in 123 years, if 161 grams…

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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: A doctor prescribes 125 milligrams of a therapeutic drug that decays by about 30% each hour. Using…

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Q: The count in a bacteria culture was 400 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: The solution is given as follows

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: Let B(t) is the number of bacteria after time t, and B0 is the number of bacteria at time t is 0.The…

Q: For a certain patient, a dose of Acetaminophen decays exponentially in their blood stream with a…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

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Q: a southern city folloe exponential law. If the population doubled in size over 30 months and current…

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Q: What is the law of exponential change? How can it be derived from an initial value problem? What are…

A: To define the law of exponential change and derive it from initial value problem.

Q: A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a…

A: The number of atoms N of a radioactive substance which remain undecayed after an elapse of time t…

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A:

Q: A population is now 3000 and is growing exponentiallywith a growth constant of .02, what will be the…

A:

Q: A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a…

A:

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: Growth of the bacteria can be obtained by the formula,

Q: If an account with initial amount of 2000 dollars earns 10% interest compounded continuously, how…

A:

Q: A certain quantity Q has an intitial value of 13 and decays by 4% each year.  Give an exponential…

A: Given: A certain quantity Q has an initial value of 13 and decays by 4% each year. To determine: An…

Q: If a population of is becoming extinct and the population is decaying exponentially. Assume that…

A: From given information

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.