An isotope of the element erbium has a half-life of approximately 12 hours. Initially there are 13 grams of the isotope present. a. Write the exponential function that relates the amount of substance remaining, A(t) measured in grams, as a function of t, measured in hours.

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An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

If $190 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in 4 years? use the continuous compound interest formula: a = pert