A radioactive substance is decaying according to the formula y = Be-0.02t , where y mg is the amount present t years from now. How long will it take for half the substance to decay? Round-off to the nearest integer.

Q: A radioactive substance decays according to the equation N = 105 e SIA where N is the number of…

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Q: At the beginning of an experiment, a scientist has 332 grams of radioactive goo. After 90 minutes,…

A: Given A Scientist has 332 grams of radioactive goo.  After 90 minutes, her sample has decayed to…

Q: (a) A radioactive substance has a half-life of 20 years. If 8 mg of the substance remains afte 100…

A: We will use radioactive decay formula ..

Q: Evan is going to invest in an account paying an interest rate of 5.4% compounded continuously. How…

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Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

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Q: After 5.5 days, a 100 mg sample of radon-222 decayed to 37 mg. (a) Find a formula for m(t), the mass…

A: GIVEN After 5.5 days, a 100 mg sample of radon-222 decayed to 37 mg. We need to find (a) Find a…

Q: The amount remaining of a 162 mL sample of a liquid substance, y (in mg) afterx hours is modeled by…

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Q: You have 500-grams of an unknown radioactive substance that has been determined to decay according…

A: D(t) = 500e-0.001904.tLet substance take x years to become half of the initial ammount.After x years…

Q: WThe half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Given : The half life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a…

Q: the decay of 10 grams of a substance is given by the equation A=10(0.76)t where t is in hours.how…

A: To use the exponential model for decay to determine the required time .

Q: The half-life of Radium-226 is 1590 years. What is the annual decay rate? Express the decimal result…

A: Given data:   The given half-life of Radium-226 is T1/2=1590.   The expression for the annual decay…

Q: if the principal p is invested at an interest rate r compounded annually, the amount after t years…

A: Here, A=20,000P=10,000r=15%=0.15

Q: At the beginning of an experiemnt, a scientist has 348 grams of radioactive goo. After 255 minutes,…

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Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

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Q: A certain drug is eliminated from the bloodstream with a​ half-life of 34 hours. Suppose that a…

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Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 94% of the…

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Q: The decay of 773 mg of an isotope is given by A(t)=773e^-0.023t, where t is time in years. Find the…

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Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

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Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

A: To determine the equation for the nails growth over the month

Q: It is projected that t years after 2010, the population of the United States will be…

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Q: round

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Q: At the beginning of an experiment, a scientist has 216 grams of radioactive goo. After 195 minutes,…

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Q: The half-life of strontium-90 is 28 years. How long will it take a 50-mg sample to decay to a mass…

A: Introduction: The half-life is the amount of time it takes for a quantity to decline to half its…

Q: The amount remaining of a 162 mL sample of a liquid substance, y (in mg) after x hours is modeled by…

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Q: At the beginning of an experiment, a scientist has 188 grams of radioactive goo. After 180 minutes,…

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Q: A body whose temperature is 50°F is placed in a warming oven whose temperature is 100°F. After 5…

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Q: How long (in years) will it take a $200 investment to be worth $900 if it is continuously compounded…

A: We need to find time when $200 will be worth $900.

Q: The half-life of radium-226 is approximately 1620years.a. How much of a sample weighing 4 g will…

A: For a radioactive material, we have N(t)=N012tt1/2 Where N(t)=quantity of the material remaining.…

Q: The half-life of a substance is 24 hours. About how many hours will it take for 6 grams to decay to…

A: SOLUTION

Q: At the beginning of an experiment, a scientist has 228 grams of radioactive goo. After 135 minutes,…

A: Given that: P=the initial amount= 228 Time=t=135 minutes A=final amount= 3.5625 r=rate    Using the…

Q: The half - life of Cobalt - 60 is 15 years. How much of an initial 105 g sample will remain after 33

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Q: The half-life of radium-226 is 1590 years. Suppose we start with a sample of radium-226 whose mass…

A: Given: The half life of radium is 1590 years. Mass of the sample= 50 mg

Q: At the beginning of an experiment, a scientist has 396 grams of radioactive goo. After 75 minutes,…

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Q: A certain drug is eliminated from the bloodstream with a half-life of 34 hours. Suppose that a…

A: Exponential decay formula: - The amount drops gradually, followed by a quick decrease in the rate of…

Q: At the beginning of an experiment, a scientist has 128 grams of radioactive goo. After 105 minutes,…

A: Half life of radioactive material is 26.25 min. Radioactive goo remained after 23 min is 69.74 gram.

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

A: Continuous compound interest formula: The amount in an account after t years at r rate is compounded…

Q: Brianna is going to invest in an account paying an interest rate of 5.2% compounded continuously.…

A: Given data :-  Rate(r) = 5.2% = 5.2/100                = 0.052 P= Principal price  Find :- Principal…

Q: The half-life of Radium-226 is 1590 years. a) If a sample contains 200 mg, how many mg will remain…

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Q: At the beginning of an experiment, a scientist has 180 grams of radioactive goo. After 180 minutes,…

A: G(t)=G(0)(1/2)^(t/t1/2)

Q: At the beginning of an experiment, a scientist has 352 grams of radioactive goo. After 225 minutes,…

A: Consider that a scientist has 352 grams of radioactive goo. After 225 minutes, the sample decays to…

Q: How long it will take $5,000 to be double, when invested at an annual interest rate of 4% if the…

A: Given query is to find the time taken toake an invy double when interest rate is 4% and compounding…

Q: Q1) The doubling time for a certain virus is 3 yr. How long will it take for the virus to increase…

A: Here we will find out the required value.

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 82% of the…

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Q: 22. The half-life of radium-226 is 1620 years. a) If the current mass of a sample is 100 grams, what…

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Q: At the beginning of an experiment, a scientist has 268 grams of radioactive goo. After 180 minutes,…

A: We have to determine the equation for G(t) and remaining amount after 32 minutes.

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

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Q: The decay of 713 mg of an isotope is given by A(t) = 713 e 0.029t wheret is time in years. Find the…

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Q: if $2000 is invested at 5%, compounded continuosly for t years, the value, A of the investment is…

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Q: The half-life of a radioactive substance refers to the amount of time it will take for the quantity…

A: Assume the starting year to be 2015. According to the given information, N0=100t12=20

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

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.