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The mass, \(M\), in grams of a radioactive substance is modelled by the function \(M(t) = 150 \times (0.88)^t\), where \(t\) is the time in years.
Write down the initial mass of the substance.
Calculate the mass of the substance remaining after 10 years, giving your answer to two decimal places.
Find the half-life of the substance. Give your answer to the nearest year.
Another radioactive substance has its mass modelled by the function \(N(t) = 200 \times (0.85)^t\). Find the time it takes for the mass of both substances to be equal.
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