Cesium-137 has a half life of 30 years, create an equation F(t) to give the percentage of the cesium-137 remaining after t years

Q: At the beginning of an experiment, a scientist has 284 grams of radioactive goo. After 270 minutes,…

A: We will solve the following.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Given : a0 = 100  n = 2000/1590

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The…

A: Given ,  The number of bacteria in a culture is increasing according to the law of exponential…

Q: 13. Annual interest rate. Euler Bank advertises that it com- pounds interest continuously and that…

A: Given- Euler bank dobules the amount in 15 year. To Find- The annual interest rate. Identity Used-…

Q: The half-life of a radioactive material is the time required for an amount of this material to decay…

A: Solving the differetial equation: Q'=-rQ

Q: A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. Find an exponential…

A: Given:- A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. To Find An…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: formula for half-life problemsA=P0.5tn; here P is inital quantity, A is amount of quantity after t…

Q: The population of a city is 100,000 and the annual growth rate is 4.2%. Write an equation to model…

A: Given that The population of a city is 100000 The annual growth rate is 4.2% = 0.042 To write an…

Q: The population (in millions)  Ukraine in 2015 is 44.4 and the expected continuous annual rate of…

A: Given: The population(in millions) of a country in 2015 is P = 44.4 million,  the expected…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

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Q: nitially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased…

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Q: The half life of radon in 4 days . From a sample of 450g determine an equation that can be used to…

A: The half life is the time period in which the half of the initial quantity of substance is consumed…

Q: The amount of radioactive substance after t years is modeled using A=Cekt. a one kilogram sample has…

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Q: The mass of a substance, which follows a continuous exponential growth model, is being studied in a…

A: Given amount of substance present at the begining y0 = 14.6 mgdoubling time = 19 minutes(a) Let y be…

Q: Radium decompose in air at the rate proportional to the amount present. If initially there 20 grams,…

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Q: Find the effective rate of interest for 9% compounded continuously. The effective rate of interest…

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Q: The half-life of a radioactive substance is 25 years. Suppose we have a 100 mg sample. Find the mass…

A: For a radioactive substance N(t)=N0×e-λt                --> Eq'n(1)…

Q: A radioactive element has a half-life of 136 yea What is its continuous rate of decay? Number %…

A: Decay constant =ln 2t12t12 =136 yearsDecay constant =ln 2136                            =0.51%

Q: Find the effective rate of interest for 11% compounded continuously. The effective rate of interest…

A: The effective rate of interest for 11% compounded continuously

Q: 3. The amount A, micrograms of a certain radioactive substance remaining after t years decreases…

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Q: A radium isotope decays exponentially and its half-life is 1600 years. Using the equation A(t)…

A: Given Half time = 1600 years At=A0e-kt

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: Given: Initial Value = 500 mg Half life  = 1590 years y=y0erty02=y0e1590re1590r=0.5

Q: Tritium is used in nuclear weapons to increase their power. It decays at the rate of 5.5% per year.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A spring is attached to the ceiling and pulled 9 cm down from equilibrium and released. After 2…

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Q: Money is transferred continuously into an account at the constant rate of $800 per year. The account…

A: The deposited amount is $800/year

Q: Find the present value. 1 To get $70 after 25 years at 6% compounded continuously The present value…

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Q: Solve Using Dn/dt. A certain radioactive material is known to decay at a rate proportional to the…

A: We will construct a differential equation according to the given conditions and solve it using…

Q: 11. A tree currently stands 7 feet tall. Its height is changing at a rate of t´ + 4 ft./year after t…

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Q: Time Required to Reach a Goal How many years will ittake for an initial investment of $25,000 to…

A: The interest formula for compounded continuously is: A=Pert Where, A is the future amount or…

Q: Following the birth of a​ child, a parent wants to make an initial investment P0 that will grow to…

A: Given: Initial investment p0 that will grow to 60,000 for the child education at age 17 interest is…

Q: The stock bought is $35000. 6 years later it sold for $85000, interest is compounded continuously,…

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Q: The population of a city is 300,000 and the annual growth rate is 11%. Write an equation to model…

A: The initial population of the city is 300,000. The growth rate is given as 11%. Clearly, this is an…

Q: 3. After 4 days, 25 g of radioactive substance is present. Five days later, 15 grams is present. a.…

A: Topic:- exponential decaying function

Q: at a constant 3. The surface area of a balloon being inflated changes a rate. If initially, its…

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Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into…

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Q: 7. Radium decomposes at a rate proportional to the amount present. A 300g of radium today will…

A:

Q: The bacteria in a culture are treated with an experimental drug and are decreasing according to the…

A: The bacteria in a culture are treated with an experimental drug and are decreasing according to the…

Q: Aradioactive chemical has a decay rate of approximately 5% per year Suppose that thès chemical is…

A: The amount of radio active substance remains after t years is given by             A = pk1-e-kt…

Q: In 2013, the moose population in a park was measured to be 5,600. By 2017, the population was…

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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: At the beginning of an experiment, a scientist has 316 grams of radioactive goo. After 240 minutes,…

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Q: Find the effective rate of interest for 3% compounded continuously.

A: Please see the explanation below

Q: 2. An antique computer valued at $6500 depreciates at the rate of 14% per year (b 0.86). Circle one:…

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Q: Iodine 131 is a radioactive material that decays according to the function A(t)=A0e-0.087(t) where…

A: Refer to the question . we have been given the iodine 131 which is a radioactive material that…

Q: find the present value of $10000 at the end of 25 years if money can be invested at 12% with…

A: We will use the compound interest formula to find the present value

Q: The population of a city is 100,000 and the annual growth rate is 4.2%. Write an equation to model…

A: Given data  Population of the city Xo=100000 Annual growth rate is r=4.2%=0.042 Equation of the…

Q: At the beginning of an experiment, a scientist has 248 grams of radioactive goo. After 210 minutes,…

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Q: The amount A, micrograms of a certain radioactive substance remaining after t years decreases…

A: We will use the fact that at half life the amount of the substance remaining is (A_o)/2 to find the…

Q: The mass of a substance, which follows a continuous exponential growth model, is being studied in a…

A: let the exponential function be of the form y=Aekt where A is  value of substance at starting time…

Q: 3. After long study, tree scientists (dendrologists) conclude that a eucalyptus tree will grow at a…

A: Given : A eucalyptus tree will grow at a rate of 0.6+4t+13 feet per year , t is time in years.…

Q: At the beginning of an experiment, a scientist has 196 grams of radioactive goo. After 210 minutes,…

A: