A material decays exponentially at 6.8% per week. How much material will be left after one year, if the initial amount was 40000kg. Including the equation model
A material decays exponentially at 6.8% per week .
initial amount of material is 40000 kg .
To find the equation model and How much material will be left after one year ?
Solution :
Now we have the exponential decay function given by :
where
So here it is given that initial amount of material is 40000 kg .
Therefore
It is given that decays exponentially at 6.8% per week .
Therefore we have values
and
Therefore
Therefore exponential model for the amount of material that will be left after " n weeks " is :
Next we have to find How much material will be left after one year ?
So
Therefore
So putting this value of "n " in the model we get
Therefore after one year the amount of material that will be left is :
Therefore answer is :
Equation model is :
Material left after one year is :
A material decays exponentially at 6.8% per week. How much material will be left after one...
plz do 20th question as soon as possible by showing
all formulas
QUESTION 20 An radioactive material decays exponetially at a rate of 6.8% per week. How much material will be lest after 1 year, if the initial amount was 40,000 kg. Include the equation of the model. TT TT Paragraph Arial 3 (12pt) T %DOQ T' TE 'S "T ft Mashups T" HTML CSS - Path: P Words: 0 QUESTION 21 A bacterial culture grows exponentiall at a rate...
Part A) A scientist begins with 100 milligrams of a radioactive substance that decays exponentially. After 31 hours, 50 mg of the substance remains. How many milligrams will remain after 58 hours? (Round your answer to two decimal places.) Part B) Jamal wants to save $58,000 for a down payment on a home. How much will he need to invest in an account with 8.5% APR, compounding daily, in order to reach his goal in 5 years? (Round your answer...
A) A radioactive material produces 1220 decays per minute at one time, and 4.2 h later produces 150 decays per minute. What is its half-life? B) What fraction of a sample of 6832Ge, whose half-life is about 9 months, will remain after 3.5 yr ? C) What is the activity of a sample of 146C that contains 7.0×1020 nuclei? The half-life of 146C is 5700 years.
Strontium 90 is a radioactive material that decays according to the function A()-A 00244t, where Ao is the initial amount time t (n years). Assume that a scientist has a sample of 500 grams of strontium 90 (a) What is the decay rate of strontium 90? (b) How much strontium 90 is left after 10 years? (c) When will only 400 grams of strontium 90 be left? (d) What is the half-life of strontium 902 (a) What is the decay...
A sample begins with 96 ng of radioactive material. How much is left after 5 half lives? 0 19 ng O 3.0 ng 3.8 ng 9.6 ng SUBMIT
Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 180e -0.045 where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 50 years? Your answer is Round answers to 1 decimal place.
(4 points) Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 320e-0.025t where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 45 years? Your answer is
Homework4: Problem 13 As you know, when a course ends, students start to forget the material they have learned. One model (called the Ebbinghaus model) assumes that the rate at which a student forgets material is proportional to the difference between the material currently remembered and some positive constant, α. A. Let y = f(t) be the fraction of the original material remembered t weeks after the course has ended. Set up a differential equation tor y. using k as any constant...
Nexl Question ntum 90 is a radoacive material that decays acconding to the function A2, where Ap is the intial amount present and A is the amount presant e Sme t (ih years) Asume thar a scentst his a ntum 90 What is the decay rate of stronsum 907 How much stronium 90 is left after 10 years? When will only 200 grams of stronbum 90 be left? grams of What is the half-ife of strontium 907 What is the...
Question 15 5 pts Strontium 90 decays at a constant rate of 2.44% per year. Therefore, the equation for the amount P of strontium 90 after t years is A = Ao e-0.0244t. How long will it take for 25 grams of strontium to decay to 10 grams? 37.5 years 375 years 60 years 45 years.