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## Homework Statement

## Homework Equations

[itex]

P = P_0 a^t

[/itex]

[itex]

\frac{5}{20} = \frac{P_0 a^1}{P_0 a^{-1}}

[/itex]

[itex]

\frac{1}{4} = a^2

[/itex]

[itex]

a = \frac{1}{2}

[/itex]

[itex]

5 = P_0 (1/2)^1

[/itex]

[itex]

P_0 = 10

[/itex]

[itex]

P(t) = 10 (1/2)^t

[/itex]