SOLUTION: THE AMOUNT OF A RADIOACTIVE TRACER REMAINING AFTER t DAYS IS GIVEN BY A=Ao e-0.058t, WHERE Ao IS THE STARTING AMOUNT AT THE BEGINNING OF THE TIME PERIOD. HOW MANY DAYS WILL IT TAK

Algebra ->  Points-lines-and-rays -> SOLUTION: THE AMOUNT OF A RADIOACTIVE TRACER REMAINING AFTER t DAYS IS GIVEN BY A=Ao e-0.058t, WHERE Ao IS THE STARTING AMOUNT AT THE BEGINNING OF THE TIME PERIOD. HOW MANY DAYS WILL IT TAK      Log On


   



Question 63806: THE AMOUNT OF A RADIOACTIVE TRACER REMAINING AFTER t DAYS IS GIVEN BY A=Ao e-0.058t, WHERE Ao IS THE STARTING AMOUNT AT THE BEGINNING OF THE TIME PERIOD. HOW MANY DAYS WILL IT TAKE FOR ONE HALF OF THE ORIGINAL AMOUNT TO DECAY?
Answer by venugopalramana(3286) About Me  (Show Source):
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THE AMOUNT OF A RADIOACTIVE TRACER REMAINING AFTER t DAYS IS GIVEN BY A=Ao e-0.058t, WHERE Ao IS THE STARTING AMOUNT AT THE BEGINNING OF THE TIME PERIOD. HOW MANY DAYS WILL IT TAKE FOR ONE HALF OF THE ORIGINAL AMOUNT TO DECAY?
AT HALF LIFE A =A0/2..HENCE
A0/2=A0
E^(-0.58T)=1/2
OR
E^0.58T=2
0.58T=LN(2)
T=LN(2)/0.58=1.195081=1.2 DAYS