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I need help with this problem, how to solve A? please explain. Iodine 131 is a r

ID: 1433213 • Letter: I

Question

I need help with this problem, how to solve A? please explain.

Iodine 131 is a radioactive material that decays according to the formula: A(t) = A_0 e^-0.087t; A_0 is the initial amount, A(t)is the amount left after t days. Answer the following questions, given that we start with 1650 grams of Iodine 131. Write an equation with x = # of days, and f(x) = # of grams radioactive Iodine 131 left, using a base of e Rewrite your equation for part a without using e (i.e. use a decimal base). Round to 5 decimal places. Find the amount of Iodine 131 after 17 days. How much of the material was present 12 days ago, assuming a consistent pattern? Find the time it takes for the sample to reach a safe level of 35 g grams radioactive Iodine 131 left; Show your algebraic steps.

Explanation / Answer

c) The amount of iodine 131 after 17 days are,

     A (17) = A0 e-0.087 *17

      A(17) = 1.65 * 0.02278

                = 0.3758 Kg

                = 375 gm.