The count rate of your element is unaffected when paper is placed between the source and the Geiger–Müller tube, but drops to almost zero when 5 mm aluminium is used.
Carbon 14 is radioactive, so by looking how much carbon 14 is left in the material we can calculate how many half lives have occurred, therefore how old it is.
If 10% of unstable atoms decay every hour, the number of unstable nuclei present after seven hours can be calculated using the formula: Number of unstable nuclei after n half-lives = initial count rate / 2.