Answered

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An element with a ma of 520 gram decay by 25. 1% per minute. To the nearet tenth of a minute, how long will it be until there are 60 gram of the element remaining?

Sagot :

The element remains 7.5 minutes until there are 60 grams of the element remains.

Let “x” be the number of minutes until there are 60 grams of the element remains.

 A formula based on the supplied criteria. ::

520 * (1-25.1%)^x = 60

Determine the sum or difference:

520*0.749^x

Divide both sides of the equation by the variable's coefficient:

0.749^x = 60/520

Reduce the portion as follows:

0.749^x = 3/26

Convert an exponential function to a logarithmic function :

X = log0.749 3/26

Convert decimal to fraction

X = log 749/100 3/26

Round  

X = log 749/100 3/26 to the required place

X = 7.5 minutes.

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