The half-life of the radioactive isotope Rhodium-101 is 3.3 years. This means that after 3.3 years, there will be half of the original atoms present. The number of Rhodium atoms present at any time can be modeled using the function R(t) = Ro * e^(-kt), where Ro is the number of original atoms present (Ro = R(0)), k is a decay constant, and t is the number of years after the measurements began.
(i) Determine the decay constant k.
(ii) How many atoms remain after 13.2 years?
(iii) At what time has 90% of the Rhodium-101 atoms decayed?
(iv) Sketch a graph of the atoms present against time.