To determine The half-life of production from gold mine and the production in 10 years if its current annual production is 5000 kilograms and rate of decrease is 5% per year using approximate half-life formula and also to discuss if the formula is valid for the described case. Explanation Given: Current annual production of gold is 5000 kg and rate of decrease is 8% per year. Formula used: Exact half-life formula is given by T h a l f = log ( 2 ) log ( 1 + P 100 ) Approximate half-life formula is given by T h a l f ≈ 70 P where the quantity decays exponentially at P% per time period, named as Rule of 70. As the quantity is exponentially decaying, the amount at time t must take the form N ( t ) = N ( 0 ) 2 − ( t t h a l f ) Calculation: P=5 N(0)=5000 kg Using exact formula- T h a l f = l o g ( 2 ) l o g ( 1 + 5 100 ) ≈ 14...

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ISBN: 8220100802713

Author: Briggs

Publisher: PEARSON

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Chapter 8.B, Problem 52E

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The half-life of production from gold mine and the production in 10 years if its current annual production is 5000 kilograms and rate of decrease is 5% per year using approximate half-life formula and also to discuss if the formula is valid for the described case.

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Chapter 8.B, Problem 51E

Chapter 8.B, Problem 53E

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