(4 points) Certain radioactive material decays in such a way that the mass remaining after t...
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.
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
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
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?
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: $...
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 of 400g of radioactive lead-210 decays to polonium-210 according to the function A(t)=400e−0.032t, where t is time in years. Find the amount of radioactive lead remaining after (a) 4 yr, (b) 6 yr, (c) 15yr. (d) Find the half-life.
A radioactive element decays according to the function y=y0 e −0.0307t, where t is the time in years. If an initial sample contains y0 = 8 grams of the element, how many grams will be present after 20 years? What is the half-life of this element?
-.161 The amount of a certain radioactive material (in grams) in a storage facility at time t is given by c(t) = 17 e where time is measured in years. (a) How much of the radioactive material was present initially? (b) What is the hall-life of the radioactive material? (Hint: For what value oft is c(t) = 8.5?) (a) Initially, there were grams of the radioactive material. (Round to two decimal places as needed.) Find the interest on the following...