Respuesta :
Answer with explanation:
Decay Formula is given by:
[tex]f(x)=I_{0}(1+\frac{R}{100})^t[/tex]
[tex]I_{0}=\text{Initial Amount of radioactive isotope }[/tex]
R=Rate at which radioactive isotope is decaying.
t=Time Constant
Now, Coming to the Question ,
The Rate at which radioactive isotope is decaying is given by the formula:
[tex]f(x)=346\times[\frac{1}{2}]^x \\\\f(1)=346 \times \frac{1}{2}\\\\f(1)=173\\\\f(0)=346\times[\frac{1}{2}]^0\\\\f(0)=346 \times 1=346[/tex]
⇒346= Initial Amount of Radioactive Isotope
