The formula to calculate the age of a plant from Carbon-14 activity is
Age= ln(A/Ao)/-k
In this formula, "A" is the sample's carbon-14 activity
"Ao" is the background carbon-14 activity for this area of the Earth
"k" is the rate at which carbon-14 decays with time, which is -0.00015 (this is the same as 5730)
The age of the sample calculated from the formula is 3700 years