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Dr. Samantha Carter determined that the population P of the Atlantean nano-virus grows according to the formula: P(t) = 480e⁻⁰.¹⁸ᵗ−71 where t measures the time in days.
(a) What is the initial population of the sample?
(b) How long will it take for the sample to reach a population of 1300? Round your answer to three decimal places