If initially 500mg of a substance is present and after 3 years 20% of the original mass has decayed, determine the amount remaining after 25 years

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

A: The radioactive element​ carbon-14 has a​ half-life of 5750 years, then the decay constant λ by…

Q: 2. A certain radioactive substance decays half of itself every 5 days. Initially, there are 50…

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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: 10. Oscar invests $46,200 in an account that earns 3.675% interest, compounded continuously. How…

A: Given , Oscar invested amount 46,200 dollars .             Interest is 3.675% it is compound…

Q: An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining…

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Q: An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining…

A: There is an exponential decay with rate of 28.8%.

Q: If half a certain amount of radium decays in 1600 years. What percentage of the original amount will…

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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: If $5,000 is deposited in an account that receives 6.1% interest compounded continuously, how much…

A: Given, Initial amount deposited, P=$5,000Rate of interest, r=6.1%=0.61

Q: Suppose a sample of a certain substance decayed to 65.8% of its original amount after 300 days. (Ro…

A: Given that the substance decayed to 65.8% of its original amount after 300 days. (a) To determine…

Q: If radio active carbon-14 has a half -life of 5750 years ,what will remain of one gram after 3000…

A: The formula for the half-life is given by Nt=N012tt12 where N(t) is the amount of substance…

Q: An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining…

A: Given that, The mass of the element is 970 grams, which decays by 27.7% per minute. To find: How…

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

A: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

Q: Of an initial amount of 5000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period.2…

A: Given: P=12,104  dollarsr=0.062t=2  years

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: 4.A radioactive substance loses 3% of its substance every 5 years. What is the half-life of this…

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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 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: The half life of a certain isotope is 6.13 hours. If we have a sample of 5.0 ounces of that isotope,…

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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: Element X is a radioactive isotope such that every 70 years, its mass decreases by half. Given that…

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Q: Hello! I need help with this particular question on my study guide. There is an attachment below.…

A: Here we use half-life to calculate the exponential decay:

Q: A radioactive substance has a half-life of 3000 years. If you start with 100 kg of it, how much will…

A: In 1 half life amount becomes half of its initial value. After n half life it becomes 1/2n of its…

Q: 4. The half-life of carbon-14 is approximately 6000 years. How much of 800 g of this substance will…

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Q: Element X is a radioactive isotope such that every 16 years, its mass decreases by half. Given that…

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Q: if 8 g of a radioactive substance are present initially and 4 yr later only 4 g remain, how much of…

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Q: If the generation time is 90 min and the initial population contains 103 cells, how many bacteria…

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Q: An element with mass 490 grams decays by 28.6% per minute. How much of the element is remaining…

A: There is a decay of element at the rate of 28.6% per minute. Initially the mass of element given is…

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: 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 element with mass 820 grams decays by 26.8% per minute. How much of the element is remaining…

A: We have to use exponential decay function to solve the problem

Q: Assume a substance has a half-life of 11 years and the initial amount is 133 grams.How long will it…

A: If A0 is initial amount present and T is half -life of the substance. Then the amount of substance…

Q: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value…

A: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value…

Q: A sample of bismuth-210 decayed to 33% of its original mass after 8 days.(a) Find the half-life of…

A: Since, we have been given a sample of bismuth-210 decayed to 33%of its original mass after 8…

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

A:

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

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Q: If 50 grams of a radioactive substance decomposed to 42 grams in 2 years, then, to the nearest gram…

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Q: Suppose a radioactive substance has a half-life of 1000 years. What fraction will be leftafter 1000…

A: Given that the half life is 1000 years. This means 1/2 of the the original amount is left after 1000…

Q: An element with mass 310 grams decays by 8.9% per minute. How much of the element is remaining after…

A: Given   mass = 310 gm  Rate = 8.9 %  Time = 19 min

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period 4…

A: A= P ert

Q: A radioactive substance has a half-life of 25 years. If 640 grams of the substance are present…

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Q: If 12 g of a radioactive substance are present initially and 8 yr later only 6 g​ remain, how much…

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Q: After 25 years, 60% of a radioactive substance still remains in a 20 gram sample. What is the…

A: Half life of a radio active material is the time required to reduce the initial quantity to its…

Q: A 50-mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for…

A: The radioactive decay is modelled using the equation: N(t)=N0e-kt, where N0 is the initial amount…

Q: Element X is a radioactive isotope such that every 27 years, its mass decreases by half. Given that…

A: Radioactive decay

Q: Assume a new car costs £20k and loses 20% of its value every year. How much is it worth after 5…

A: Let us assume the worth of a  house at present year is x$. After every year  worth decreases by y%.…

Q: $3,500 is invested at a rate of 6% coumpounded weekly. What is the amount at the end of 15 years?

A: Principal amount P = $3500 Rate r = 6% weekly             =( 6/52)% annually  Time t = 15 years  =…

Q: If 250 mg of a radioactive element decays to 200 mg in 48 hours, find the half-life of the element.

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