A substance decays at a rate of 25.45% per year. (a) Complete the boxes below to write a formula for the amount Q at year t, where Qo is the initial amount. Do not round any values. Q = Qo°( Number (b) Find the half-life of the substance. Solve analytically and report your exact answer involving natural or common logarithms. t= Number years (Your answer contains a logarithm.) half-life. (c) Report an approximate answer of the half-life accurate to years The half-life is approximately Number years Interpretation: The substance decays by Number % by about every Number years.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.