Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14 . Thirty percent (30%) of carbon-14 will decay within how many years? a. Sketch the graph. and shade the area of interest. b. Find the value k such that P(x < k) = 0.30

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