The Truth About Half-Life and Interest Rates

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The discussion revolves around the brightness decay of Tritium gun sights, which have a half-life of 12.3 years. After 6 years and 2 months, the sights will be approximately 70.7% as bright, not a quarter of their original brightness. Participants express concern over the confusing language used in advertising and media, particularly regarding reductions and increases in percentages. The conversation highlights how misleading phrasing can affect consumer understanding and arithmetic learning. Overall, clear communication about changes in brightness and costs is emphasized as crucial for transparency.
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So I'm getting ready to buy some Tritium gun sights that will glow in the dark. The advertisement says Tritium has a half life of 12.3 so the sights will be about half as bright (50%) after 12.3 years.

I'm wondering how bright they will be after 6 years and 2 months...will they be one quarter as bright?

tex
 
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Simple estimate would be 75 %, but 70.7 % (square root of one half) is accurate.
 
thetexan said:
I'm wondering how bright they will be after 6 years and 2 months...will they be one quarter as bright?
That's 1/4 LESS bright, not "as" bright.
 
russ_watters said:
That's 1/4 LESS bright, not "as" bright.
Yes - "Threequarters as bright".
This way of stating things is getting very common - particularly when describing the cost of things but it is potentially very confusing. It is a shame that decreases are not expressed in fractions of the original (or possibly percentage).
"Reduced to 75%" or "reduced to 3/4" of the original can't be misconstrued.
Even worse is "A hundred times less", instead of "one hundredth". This is used throughout the media and must be a nightmare for children, learning to do arithmetic. It's also a great way to hoodwink innocent consumers and voters.
 
Don't get me started. My local weatherman told us this morning "It's 46 degrees now, that's twice the normal 23 degree morning temperature for December 18..."
 
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gmax137 said:
Don't get me started. My local weatherman told us this morning "It's 46 degrees now, that's twice the normal 23 degree morning temperature for December 18..."
Could be worse. It could be half the normal temperature for December 18 ...
 
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And answer me this one: then the bank manager tells you that the interest he's charging you has only gone up by 1% (i.e. from 1% to 2%) how has he the nerve not to admit that the cost has actually increased by 100%?
 
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