Tuesday

September 30, 2014

September 30, 2014

Posted by **jessica** on Tuesday, March 6, 2012 at 11:03pm.

a) Determine the function A’, which represent the rate of decay of the substance.

b) what is the half-life for this substance?

c) what is the rate of decay when half the substance has decayed?

- Science -
**drwls**, Tuesday, March 6, 2012 at 11:20pma) A' = dA/dt = -100*(1.6^-t)*ln1.6

= -47*1.6^-t

b) When A(t) = (1/2)A(0),

100*1.6^-t = 50

1.6^-t = 0.5

-t ln1.6 = ln0.5

t = 1.475

c) A' at t = 1.475 is half the rate at t = 0, or -23.5

**Answer this Question**

**Related Questions**

calculus - The rate at which an amount of a radioactive substance decays is ...

Math - A radioactive substance decays according to the formula Q(t) = Q0e−...

Math - A radioactive substance decays according to the formula Q(t) = Q0e−...

Maths - A radioactive substance decays exponentially in such a way that after 50...

Calc - A sample of a radioactive substance decayed to 93.5% of its original ...

calculus - Carbon-14 is a radioactive substance produced in the Earth's ...

Math/Calculus - After 5 days, a particular radioactive substance decays to 37% ...

Calculus - A certain radioactive material decays exponetially. The percent, P, ...

AP Calculus - An Initial amount of 100 grams of Thorium-234 decays according to ...

calculus - A sample of a radioactive substance decayed to 94.5% of its original ...