The rate at which 15 grams of ¹⁴C is decaying can be modeled as

r(t) = 0.027205(0.998188^t)

grams per year where t is the number of years since the 15 grams began decaying.

(a) How much of the¹⁴C will decay during the first 1000 years? (Round your answer to three decimal places.) (blank) g How much of the¹⁴C will decay during thefourth1000 years? (Round your answer to four decimal places.) (blank) g (b) How much of the¹⁴C will eventually decay? (Round your answer to three decimal places.) (blank) g

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