Answer:
Rock is [tex]1080[/tex] days old
Explanation:
Total Mass = [tex]52.5[/tex] grams [tex]+ 7.5[/tex] grams [tex]= 60[/tex] grams
As we know
[tex]\frac{7.5}{60} = \frac{60* (\frac{1}{2} ) (\frac{t}{360d})}{60}[/tex]
[tex]0.125 = 0.5* (\frac{t}{360d})[/tex]
Taking log on both sides we get –
Log [tex](0.125) = \frac{t}{360}[/tex] log [tex](0.5)[/tex]
[tex]\frac{-0.903}{-0.301 } = \frac{t}{360}[/tex]
[tex]t = 3 * 360[/tex]
[tex]t = 1080[/tex]
[tex]1080[/tex] days
