5 A model for the radioactive decay of a form of iodine is given by
$$m = m _ { 0 } 2 ^ { - \frac { 1 } { 8 } t }$$
The mass of the iodine after \(t\) days is \(m\) grams. Its initial mass is \(m _ { 0 }\) grams.
- Use the given model to find the mass that remains after 10 grams of this form of iodine have decayed for 14 days, giving your answer to the nearest gram.
- A mass of \(m _ { 0 }\) grams of this form of iodine decays to \(\frac { m _ { 0 } } { 16 }\) grams in \(d\) days.
Find the value of \(d\).
- After \(n\) days, a mass of this form of iodine has decayed to less than \(1 \%\) of its initial mass.
Find the minimum integer value of \(n\).