A certain breed of amoeba has been observed to double its population every three minutes. How long will it take for the amoeba to be 15 times its original amount? (Round-off your answer to two (2) decimal places) Use the application of First Order ODE Decay Equation

Q: A savings account deposit of $150 is to earn 6.3% compound continuously. Assuming there are no…

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Q: The decay equation for radon-222 gas is known tobe y = y0e^-0.18t, with t in days. About how long…

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Q: 100mg sample of tritium-3 decayed to 94.5mg after a year. (i) What is the half-life of tritium-3?…

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Q: A sample of radioactive material has a half-life of about 1200 years. An initial sample weighs 20…

A: Given half life of the radioactive sample is about 1200 grand initial sample weight is 20 grams.

Q: When metallic tin is kept below 13.2°C, it slowlybecomes brittle and crumbles to a gray powder. Tin…

A: Given

Q: na futuristic laboratory, a spider exposed to the Neogenic Recombina beam made it radioactive.…

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: Salt (NaCl) decomposes in water into sodium (Na*) and chloride (CI) ions according to the law of…

A: By law of uninhibited decay we have.      A=A0ekt t denotes the time. A0 denotes the initial amount…

Q: A grey squirrel population was introduced in a certain county of Great Britain 35 years ago.…

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Q: A toxin introduces into a colony of bacteria, and t hours later, the population of bacteria is given…

A: Given:  N(t)=(5t+9)e-0.1t. As nothing is specified, we will do it by graphical method. Let us plot…

Q: 2. Fermium-253 has a half-life of 33 days. (a) If we start with 1,200 mg, how much Fermium-253 will…

A: Fermium-253 has a half life of 33 days, that means Fermium-253 will take 33 days to reduce its…

Q: At 45°C, dinitrogen pentoxide (N2O5) decomposes into nitrous dioxide (NO2)and oxygen (O2) according…

A: According to the law of uninhibited decay, we have Nt=N0ekt Where N0 is the initial number of cells…

Q: Under certain water conditions, the free chiorine (hypochlorous acid /HOCI) in a swimming pool…

A: This question can be solved using the law of uninhibited decay according to which  A=A0ekt

Q: 500 students are graduating in their first year, but after that, the number of students declines by…

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Q: A new compound called Corpium radioactively decays at the rate of -0.035% every year. If there is…

A: The decay function is given by N(t)=N0ert Now, given rate is -0.035%. So, the equation becomes…

Q: The population of a community grows in proportion to the population at any time t. Its initial…

A: Given data is: Initial population P=1200 R=25% Time t=8 year

Q: A 3750-year-old wooden chest is found by archaeologists. What percentage of the original 14C would…

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Q: 4. Te- 105 has a half life of 203.9 hours. If there are 1054 g of Te - 105 initially, how long will…

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Q: A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation…

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Q: A bank account earns 12% interest, compounded continuously, and has an initial balance of zero.…

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Q: Strontium-90 is a radioactive substance that decays according to the following function, where yo is…

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Q: a function decreases by 5% each year, then the yearly decay factor is?

A: Subtract rate from 1 for decay factor

Q: Radon-222 The decay equation for a certain substance is known to be y = y0 e-0.0462t, with t in…

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Q: The decay rate for a radioactive isodope is 2. Find the hal&-1ife of de isodoge.

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Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

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Q: A certain substance decays so that each year 92% of the previous year's material is still present.…

A: A substance decay such that each year 92% of the previous year's material still remains. So, 8% of…

Q: A radioactive isotope decays at a rate proportional to the amount present at time t and has a…

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Q: Suppose the amount of Carbon-14 remaining in a sample of 100 milligrams after X years can be…

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Q: the population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000…

A: The population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000…

Q: 5.1 antidifferentiation - #43 it is estimated that t months from now, the population of a certain…

A: To estimate the required population , using the given data.

Q: 10) The decay constant for strontium 90 is 1 = 0.0244, where the time is measured in уears. How long…

A: Let's find.

Q: A certain element decays at a rate of .000163/year. Of a piece of this element of 450 kg, how much…

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Q: a car sells for $12,500 and one year later it is valued at $11,375. find the decay rate of the car

A: Explanation of the answer is as follows

Q: fea)=4(2 grath /decay

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Q: Astatine-210 is a radioactive substance that decays according to the following function, where  y0…

A: Given: y=y0e-0.086t       ........(1)

Q: A pizza, heated to a temperature of 400 degrees, is taken out of an oven and placed in a 70 degree…

A: According to property of energy transfer, heat will transfer from body at higher temperature to body…

Q: A third bond is worth $100 and grows in value by 4 percent each year, but the interest is applied…

A: Value of first bond after t years V1=1001.04t Value of second bond after t years V2=1001.022t…

Q: 6. The half-life of radium is 1690 years. (a) Compute the decay constant k ( 5 decimal places)

A: Given: The half-life of radian that is 1690 years. N0=10 g t=50 years

Q: doctor prescribes 100 milligrams of a therapeutic drug that decays by about 20% each hour (ie. after…

A: To determine the half-life of the drug.

Q: 1. Carbon 14 is a common form of carbon which decays over time. The initial amount of carbon 14…

A: Please see the below pictures for detailed solution.

Q: Radium decomposes in air at a rate proportional to its current concentration. If there are 20 grams…

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Q: A young person with no initial capital invests k dollars per year at an annual rate of return r.…

A: A young person with no initial capital invests k dollars per year at an annual rate of return r.…

Q: - Cobalt-60 has a half-life of 5.24 years. a. Find the mass that remains from a 100-mg sample after…

A: To find the mass that remains from 100 mg sample after 30 years and time required to reduce the…

Q: 14. The decay of a certain bacteria population can be modelled by P(t) = 2000e-1.2t, where t is in…

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Q: If a function decreases by 7% each year, then the yearly decay factor is what?

A: If a function decreases by 7% each year, then the yearly decay factor is what

Q: 16,830 people work in a particular occupation at the present time. The number of people working in…

A: Given:- in present time No. Of worker are= 16830 No. Of people decreasing per year are= 0.2%

Q: A new car that sells for $19,000 depreciates (decreases in value) 21% each year. What is the decay…

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Q: A certain hermit wants to design a reactor using radioactive material A that will be converted into…

A: Topic :- Differential equation

Q: A sample of a radioactive substance decayed to 92% of its original amount after a year. (Round your…

A: Firstly, we can set up exponential equation we can use formula