If the generation time is 90 min and the initial population contains 103 cells, how many bacteria will be there after 8 hrs of exponential growth?

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: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: ount of asprin decays exponentiallyf(t) = Ae-ktat t = 0 ,   300 = Ae0⇒ A = 300

Q: A culture of bacteria originally numbers 500. After 2 hours there are 1500 bacteria in the culture.…

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Q: A man invested 1000 dollars in an account. How long will it take before this investment will triple…

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Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: We will solve the exponential model for the Aspirin decay

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in4 years?

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Q: At a certain instant, 100 grams of a radioactive substance is present. After 20 years, 99.76 grams…

A: given that 100 gm of a radio active substance is present. after 20 years 99.76 gm remain. we have to…

Q: A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria…

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Q: The initial population size was 53 hippogriffs. After only 5 year(s), a new count was taken…

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Q: suppose the half-life of caffeine in the bloodstream of a healthy adult is 6 hours. If the person…

A: Given: initial quantity of caffeine C0=200 mgt=12 hrs (11 am to 11 pm)half life t12= ln 2K…

Q: The count in a bacteria culture was 400 after 10 minutes and 1200 after 35 minutes. Assuming the…

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

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Q: The initial population of a town is 3200​, and it grows with a doubling time of 10 years. What will…

A: We have to solve

Q: Suppose that some graduate students left 8 grams of a radioactive substance unattended in their…

A: Consider the quantity of a radioactive substance initially present be N0. If the half-life of this…

Q: A quantity with an initial value of 5700 decays exponentially at a rate of 7.5% every 2 days. What…

A: Given data: The given rate is r=7.5%. The given time is t=2 days. The initial value is A=5700. The…

Q: If 14 g of a radioactive substance are present initially and 3 yr later only 7 g remain, how much of…

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Q: A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long would it take…

A: Given problem:- A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long…

Q: A culture of bacteria obeys the law of natural exponential growth. If 140,000 bacteria are present…

A: We can make it easier for you.

Q: A population of bacteria grows exponentially and their population doubles every 4.5 hours. If the…

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Q: The count in a bacteria culture was 200 after 15 minutes and 1600 after 30 minutes. Assuming the…

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Q: If a Paramecium is about 390 micrometers long, how many centimeters is it? Express in real numbers…

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Q: A person invested $5, 600 in an account growing at a rate allowing the money to double every 6…

A: Consider the initial amount is $5600 The doubling time is 6 years The general form for the growth…

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

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Q: The count in a bacteria culture was 500 after 20 minutes and 1200 after 40 minutes. Assuming the…

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Q: The half-life of Cesium-137 is 30.7 years. How long will 200 grams of Cesium-137 take to decay to…

A: Given data The half-life of the cesium-137 is t1/2 = 30.7 years. The initial amount of the…

Q: If Sandago has a present population of 70,000 and the population is increasing by 3% each year. 1.…

A: The function that models the population at time t is given by, Pt=P0ert, where P0 is the initial…

Q: A culture of bacteria grows exponentially. It doubles in size every 5858 hours. How long will it…

A: Given:The growth of bacteria doubles in size every 5858 hoursFor exponential growth,

Q: A cell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Definition of the exponential functions helps to find the answer to the problem. A function is said…

Q: The initial population of Sim City is 103 residents, and it grows with a doubling time of 2 hours.…

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Q: The initial population of a town is 121,473 and it grows with a doubling time of 55 years.What will…

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Q: If 10% of a radioactive substance decays after 33 years. How much will remain after 200 years?

A: Let in starting the radioactive substance = No And after t time it becomes N

Q: The count  in a bacteria culture was 200  after 15 minutes and 1600 40 minutes assuming the count…

A: So we can model the growth of bacteria with an exponential function given by,             f(t)…

Q: The population of a city doubles every 15 years. At this rate, how long will it take the population…

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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: A person invested $2,500 in an account growing at a rate allowing the money to double every 11…

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Q: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

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Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: Given that the aspirin decays exponentially. Therefore, use the exponential model to find the…

Q: A culture of 100 bacteria grows to 150 after 2 hours. How long will it take to double in size?…

A: Condition 1: At t=0, P(0)=P0=100   Condition 2: At t=2, P(2)=150   If P(t)=2P0, then find t (in…

Q: If 10% of a radioactive substance decays after 33 years how much will remain after 200 years?

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Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

A: Given that,   Invest value (P) =$4000   Interest rate(r) = 3%   Time (t) =4 years

Q: The initial population of a town is 3300​, and it grows with a doubling time of 10 years. What will…

A: We will apply compounding formula to find population

Q: Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: oon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: The initial quantity of aspirin in blood stream, q0=300 milligrams Given the amount of aspirin in…

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

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Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. a) Find the…

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Q: Suppose the doubling time of a population is 16 years. How long will it take for the population to…

A: NOTE: Refresh your page if you can't see any equations. . for doubling time, use the formula here…

Q: A person invested $3, 700 in an account growing at a rate allowing the money to double every 14…

A: we need to find the yearly compound interest rate then we will find the years taken for the value to…

Q: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

A: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

Q: A population of bacteria grows exponentially and their population doubles If the initial observation…

A: NOTE: Refresh your page if you can't see any equations. . here we have the initial population is…

Q: At the beginning of an experiment, there are 100 bacteria. If the bacteria follow an exponential…

A: At the beginning of an experiment, there are 100 bacteria. If the bacteria follow an exponential…