The growth of a specialized digital database is being tracked. The total amount of data stored, DDD terabytes (TB), at time ttt years after the system went online is modelled by the equation
log10D=0.65+0.42t \log_{10} D = 0.65 + 0.42t log10D=0.65+0.42tWrite this equation in the form D=pqtD = pq^tD=pqt, where ppp and qqq are constants to be found. Give each value to 4 significant figures.
When t=Tt = Tt=T, the amount of data stored is 350 TB. Find the value of TTT according to the model, giving your answer to 3 significant figures.
The current hardware infrastructure can accommodate a maximum of 2,000 TB. Determine whether or not the data volume will exceed this limit within the first 6 years of the study.
