Certain radioactive material decays in such a way that the mass remaining after t years is...
(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
Question 21 < > Đlpt 51 95 © Details Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 155e -0.010 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 40 years? Your answer is Round answers to 1 decimal place. Question Help: D Video Submit Question
Suppose that a certain radioactive element decays in such a way that every twenty years the mass of a sample of the element is one third of the initial mass. Given a 100 gram sample of the element, how much of the element remains after 17 years?
4P Radioactive iodine is used by doctors as a tracer in diagnosing certain thyroid gland disorders. This type of iodine decays in such a way that the mass remaining after 1 days is given by the function m(t) = 5e 0.087 where is measured in grams. (a) Find the mass at time : = 0. Please round the answer to the nearest integer. m(0) = grams (b) How much of the mass remains after 20 days? Please round the answer...
A 24-g sample of radioactuve iodine decays in such a way that the mass remaining after t days is given by m(t)=24e^-0.089t where m(t) is measured in grams. After how many dYs is there only 17 g remaining? _______days
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...
Radioactive substance decays so that after t years, the amount remaining, expressed as a percent of the original amount, is A(t)=100(1.6)^(-t). a) Determine the function A’, which represent the rate of decay of the substance. b) what is the half-life for this substance? c) what is the rate of decay when half the substance has decayed?
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...
After 70 years, 40 % of a radioactive material decays. What is the half-life?
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...