Each year, a physicist measures the remaining radioactivity in a sample. She finds…

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Each year, a physicist measures the remaining radioactivity in a sample. She finds that it reduces by 18% each year. If there was 1.52 g of radioactive material left after 4 years: (1) Find the initial quantity of radioactive material. (2) How many *more* years will it take for the amount of radioactive material to reduce to 0.2 g?

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