Question

use the approximate half-life formula for the case described below. discuss whether the formula is valid for the case described.

the production of a gold mine decreases by 5% per year. what is the approximate half-life for the production decline? based on this approximate half-life and assuming that the mines current annual production is 4000 kilograms, about what will its production be in 11 years?

the half-life for the production decline is years.
(type an integer or a decimal.)

Explanation:

Calculate the approximate half-life

Using the Approximate Half-Life Formula knowledge point

$$ T_{1/2} \approx \frac{70}{P} = \frac{70}{5} = 14\text{ years} $$

Answer:

Use the approximate half-life formula for the case described below. Discuss whether the formula is valid for the case described.

The production of a gold mine decreases by 5% per year. What is the approximate half-life for the production decline? Based on this approximate half-life and assuming that the mine's current annual production is 4000 kilograms, about what will its production be in 11 years?

The half-life for the production decline is <blank>14</blank> years.
(Type an integer or a decimal.)