SOLUTION: Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, wh

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Question 1198532: Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection. The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.
- Give an exponential equation to represent the percentage of the original gallium-67 after
t days.
Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection. The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.
- After 4 days, how much percentage is remaining?
- After how many days, is 1% of the original Gallium-67 will remain? Round your answer to 2 decimal places

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections.
The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection.
The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.
- Give an exponential equation to represent the percentage of the original gallium-67 after t days.
:
A+=+Ao%2A2%5E%28-t%2F3.26%29, where
A = resulting amt after t time
Ao = initial amt
t = time of decay
3.26 = half life of the substance
To find the percentage, use 1 as the initial amt multiply the resulting decimal by 100
:
Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections.
The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection.
The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.
- After 4 days, how much percentage is remaining?

A%25+=+Ao%2A2%5E%28-4%2F3.26%29 * 100
A% = 42.72% remains after 4 days
:
- After how many days, is 1% of the original Gallium-67 will remain? Round your answer to 2 decimal places
+1%2A2%5E%28-t%2F3.26%29 = .01
using nat logs
%28-t%2F3.26%29%2Aln%282%29+=+Ln%28.01%29
:
t = ln%28.01%29%2Fln%282%29 * -3.26
t = 21.66 days