(Solution Document) The half-life of a radioactive isotope is 29 years. The number of grams of radioactive isotope remaining after t years is given by the equation: Q( t...


The half-life of a radioactive isotope is 29 years. The number of grams of radioactive isotope remaining after t years is given by the equation:

         Q(t) = 400e-0.023901t

How many grams of radioactive isotope were initially present?

a.200 grams

b.250 grams

c.400 grams

d.480 grams

e.620 grams


e3 ? e4 =


a.e12

b.e7

c.e4/3

d.e3/4

e.e-1


A bacterium will reproduce, increasing at an exponential rate, until an essential nutrient is exhausted. When essential nutrients are present, the number of bacteria in a bacterial culture after t days is given by the equation:

         Q(t) = 400e.94t 

Assuming essential nutrients are present, how many bacteria are in the bacterial culture after 4 days of growth (round to the nearest whole number)?

a.2,621

b.2,840

c.14,639

d.17,179

e.36,480

 







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