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The US Energy data in 2014 shows an annual consumption of 98.3 Quads, with 86% dependency on Fossils, 8% on Nuclear, 3% on Hydro, and 3% on Renewables. If the estimate reserves of the US are 34,640 Quads of Fossils, and 161,570 Quads of Nuclear material (Breeder Technology), find the years of depletion of those 2 resources, assuming a continuing average growth rate of 2%.

Answer :

Final answer:

This mathematics problem requires calculating the depletion time for the US reserves of fossil fuels and nuclear energy, using the rates of consumption and growth from 2014 data.

Explanation:

The question involves calculating the number of years it will take for the United States to deplete its fossil fuel and nuclear reserves. This is determined using the 2014 US Energy data which reports an annual consumption of 98.3 Quads, and the growth rate of energy consumption. Using the provided data: an 86% dependency on fossil fuels and 8% on nuclear energy, along with the reserve estimates of 34,640 Quads for fossil fuels and 161,570 Quads for nuclear material (breeder technology), the depletion years can be calculated assuming a continuous 2% average growth rate in energy consumption.

To calculate the years of depletion for fossil fuels, we need to assess the initial consumption, which is 86% of 98.3 Quads, and project this consumption into the future accounting for 2% growth. A similar approach is taken with nuclear energy, starting with 8% of 98.3 Quads. These calculations would typically be done via a geometric progression formula or by using a spreadsheet or calculator that can apply the annual growth rate to each subsequent year's consumption until the reserve is depleted.

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