The half-life of a radioactive isotope is 29 years. The number of grams of radioactive isotope remaining aftertyears 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._e^4/3

d._e^3/4

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 aftertdays 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