The half-life of an isotope is the time for its mass to decay by 2. For example, polonium-210 has a half-life of 40. So, a sample of 100 g would decay to 50 g in 40 weeks. The percent, P, of polonium remaining after t weeks is given by the formula P = 100 * (0.5) ^ (1/40) . What percent, to the hundredth of a percent, of polonium remains after 30 weeks?

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step-by-step explanation:

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the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

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