Question

$ Your task will it decrease until it is finished? The depletion of natural resources is a Serious problem facing the world. Suppose a natural resource Consumes at a rate of 1.333% annually, and the global stock pile of this resource was 300 million tons in 2005, no new quantities were discoverd, how much of this resource will be left in 2045 you will discover the extent of depletion of this resource Gver time.

Answer 1

it is estimated that approximately 171.51 million tons of this natural resource will be left in 2045, considering a consumption rate of 1.333% annually and no new quantities being discovered.

Step-by-step explanation:

To calculate the extent of depletion of this natural resource over time, we can use the formula for exponential decay:

Final Amount = Initial Amount * (1 - Rate)^(Time)

Given:

Initial Amount (global stockpile in 2005) = 300 million tons

Rate of consumption = 1.333% annually (or 0.01333 as a decimal)

Time = 2045 - 2005 = 40 years

Substituting these values into the formula, we have:

Final Amount = 300 million tons * (1 - 0.01333)^(40)

Calculating this expression, we find:

Final Amount ≈ 300 million tons * (0.98667)^(40)

Final Amount ≈ 300 million tons * 0.5717

Final Amount ≈ 171.51 million tons

Therefore, it is estimated that approximately 171.51 million tons of this natural resource will be left in 2045, considering a consumption rate of 1.333% annually and no new quantities being discovered.