Grandma Millie is shrinking! Her height decreases by \dfrac{1}{4} \text{ cm} 4 1 cmstart fraction, 1, divided by, 4, end fraction, start text, space, c, m, end text each year. What is her total change in height over 333 years?

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step-by-step explanation:

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

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