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The Decay Constant for Strontium 90 Is λ = 0 P0\mathrm { P } _ { 0 }

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The decay constant for strontium 90 is λ = 0.0244, where the time is measured in years. How long will it take for a quantity P0\mathrm { P } _ { 0 } of strontium 90 to decay to 13\frac { 1 } { 3 } its original size?
Enter your answer exactly in the form lna b\frac { \ln a } { \mathrm {~b} } where a is a reduced fraction and b is a real number to four decimal places (no units).


Definitions:

Stock Beta

A gauge for assessing the risk or volatility inherent in a security or portfolio against the entire market's movements.

Risk-free Interest Rate

The theoretical rate of return of an investment with zero risk of financial loss, often represented by the yield on government bonds.

Two-factor Model

A financial model that considers two sources of risk in its valuation or pricing, typically used in evaluating or predicting financial returns.

Market Risk

The risk of losses due to factors that affect an entire market or asset class, also known as systematic risk, which cannot be eliminated through diversification.

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