SOLUTION: The half-life of carbon-14 is 5730 years. How long does it take for 3.4 grams of carbon-14 to be reduced to 1.4 grams of carbon-14 by radioactive decay? i believe i'm supposed t

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The half-life of carbon-14 is 5730 years. How long does it take for 3.4 grams of carbon-14 to be reduced to 1.4 grams of carbon-14 by radioactive decay? i believe i'm supposed t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 888347: The half-life of carbon-14 is 5730 years. How long does it take for 3.4 grams of carbon-14 to be reduced to 1.4 grams of carbon-14 by radioactive decay?
i believe i'm supposed to use the formula A=A0e^rt but i'm unsure of where to plug in the numbers. i've tried to solve and i keep getting a number that cant be possibe.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The formula you need is

Where is the final amount, is the initial amount, is the time in years (and the value for which you need to solve), and is the half-life in years.

First, let's solve the equation for the value we want to determine to get a general formula for time given half-life, initial amount, and final amount.












Just plug in your given numbers and to the arithmetic. You will need your scientific calculator.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism