# A painting attributed to Vermeer (1632–1675), which should contain no more than 96.2% of its original car-bon-14, contains 99.5% instead. About how old is the forgery?

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A painting attributed to Vermeer (1632–1675), which should contain no more than 96.2% of its original car-bon-14, contains 99.5% instead. About how old is the forgery?

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Step 1

To determine the time (in years) of forgery, A painting attributed to Vermeer (1632-1675), which should contain no more than 96.2% of its original carbon-14, contains 99.5% instead.

Step 2

Calculation:

The half-life of carbon-14 is 5730 years.

And if the continuous rate is k, then

Step 3

If the carbon-14 in the living matter decayed from 100% to 99.5%.

Then ...

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