exponential growth and decay models

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Calculus

Final

University/Undergrad

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6 Terms

1
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population growth
p(t)=p(0)*e^kt
2
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mass of radioactive substance
m(t)=m(0)*e^kt
3
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half life
1/2m(0)=m(0)*e^kt
4
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newton's law of cooling
T(t)=Ts+(T(0)-Ts)e^kt
5
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annual interest rate
A(t) = A(0)(1+r)^t
6
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continuously compound interest rate
A(t)= A(0)*e^rt