A toxin introduces into a colony of bacteria, and t hours later, the population of bacteria is given bt N(t)=(5t+9)e^-0.1t thousand bacteria. At what time will the population be decreasing more rapidly?

Q: A colony of bacteria is growing exponentially. At time t = 0 minutes it has 300 bacteria in it, and…

A: Let's Solve,

Q: The half-life of radium-226 is approximately 1620 years. How much time is necessary for a sample…

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Q: A certain radioactive element decomposses at a rate proportional to the amount present. If 100…

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Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: To use the given data (exponential model) to determine the initial data

Q: Heather wants to invest $35,000 of her retirement. She can invest at 4.8% simple interest for 20 yr,…

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Q: A quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the…

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Q: Suppose that a population grows according to a logistic model with carrying capacity 6500 and k =…

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Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

A:

Q: Total reserves for a non renewable resource at 250 million tones.annual  consumption, currently at…

A: We have total non renewable resources=250 million tonesfirst year consumption is 20 millionsecond…

Q: What rate of interest compounded continuously will yieldan effective interest rate of 6%?

A: It is given that, the effective interest rate is 6%. re=6%=0.06

Q: How long does it take for $350 to grow to $840 at 6% annual percentage rate compounded continuously…

A: Continuously compounded interest formulaA= PertP = the initial principlee = natural baser = annual…

Q: How long will it take 70 grams of cobalt-60 to decay to 7 grams? The half-life of cobalt-60 is 5.3…

A: Given data is : Initial 70 gram of cobalt -60 A0=70 gram  Let after t years cobalt-60 decay to 7…

Q: Today there are 500 ants on an colony. They breed with a constant continuous growth rate of 20% per…

A: We will find out the required solution.

Q: $400 invested at 7% compounded continuously after aperiod of 3 years

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Q: The population of minnows in the lagoon is 5,400, but the population will decay exponentially. If…

A: The formula for the exponential decay model is, y=C1-rt Here, y is the final amount C is the initial…

Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none…

A: The logistic growth equation here is: P(t)=P0e0.7050t Where, P is the number of students inflected…

Q: A material decays at the rate of 0.099% per year. How long will the material take so that only 30%…

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Q: Radioactive radium has a half-life of 1899 years. If 20g of the substance are present initially,…

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Q: Carbon extracted from an ancient skull combined only one-sixth as much as C14 as carbon extracted…

A: Let's find age of skull.

Q: The decay constant for carbon-14 is 0.00012, with time measured in years. A piece of papyrus…

A: Decay of any radio active substance follow first kinetics and the equation of first order kinetics…

Q: An investment earns 5.1% yearly interest compounded continuously and is currently growing at the…

A: Solution:Given    i=5.1%     n=1     A=765   To find P=?Formula:A=P(1+i)n

Q: The half-life of plutonium-241 is 13 years.  What is the decay constant?  Use the approximation…

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Topic-basic maths

Q: A radioactive element decays according to the function y=yoe^-0.0388t, where t is time in years.  If…

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Q: A radioactive substance decays at a continuous rate of 17% per day.  After 8 days, what amount of…

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Q: 4. The population of Lalaland is 600,000 currently and is expected to grow (continuously) at 3.5%…

A: The present population P =600,000 Growth rate r = 3.5 % per year To find population after time t =…

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: city of half a million, there are initially 400 cases of a particularly virulent strain of flu. The…

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Q: Expand ln 3√y3z2/x4 as a sum, difference and/ or the consent multiple of logarithms.

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Q: Of an initial amount of 8000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

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Q: An Asian country had a population of about 0.90 Billion people in 1995 and a growth rate of 1.3% per…

A: *** This is the problem related to financial mathematics and we are advanced math expert and have…

Q: Radon-222 decays at a continuous rate of 17.3% per day. How much will 250 mg of Radon-222 decay to…

A: Radon-222, a noble gas resulting from the decay of naturally occurring uranium-238, is the first…

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Of the 1000…

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Q: A radioactive material decays at a rate proportional to its amount. If the material has a half-life…

A: model is  A=A0ektfor half-life put A=A02thenA02=A0ektsolving for t, we get k=-ln(2)t

Q: A quantity with an initial value of 870 decays continously at a rate of 0.75% per day. What is the…

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Q: A material has an initial of 15 units. Which equation models the amount of the material y, decaying…

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Q: $2000 is invested in an account that pays interest compound continuously, how long will it take to…

A: The answer is given below:

Q: A breeder reactor converts relatively stable Uranium 238 into the isotope Plutonium 239. After 15…

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Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: According to the guidelines issued by the company We are supposed to answer only first three…

Q: A quantity with an initial value of 8200 grows continuously at a rate of 0.55% per decade. What is…

A: Initial Value=  8200. Growth rate= 0.55% . We can formulate the following equation for "t" years :…

Q: If 26 grams of radioactive waste reduces to 19.35 grams of radioactive waste after 1120 years, then…

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Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: (a) Let  the exponential function for covid-19 growth is: Pt=a0bt      ......(1) Given a0=684 and b…

Q: A quantity with an initial value of 3600 grows continuously at a rate of 2.5% per decade. What is…

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

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Q: The half-life of carbon-14 is 5730 years. How long does it take for 2.1 grams of carbon-14 to be…

A: A(t)=A0(1/2)t/h h is the half life A0 is the initial value

Q: Initially 87 grams of radioactive substance was present. After 3 hours the mass had decreased by 6%.…

A: We know that the differential equation of the decaydAdt=kAwhere A = amount and k = proportionality…

Q: Due to the rising temperatures in a bay ecosystem, the population mass of a certain species of…

A: We have given x(0)=600 tonsx(11)=2,000 tons population increase at…

Q: Of an initial amount of 7000 g of lead-210, how much will remain in 180 years? Lead-210 decays at a…

A: Given that: Initial amount of lead, P0=7000gRate of decay, k=3.15%per year.

Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: Here, the exponential model is given by: P(t)=a×bt...(1) where P(t) is the number of cases after a…