5.7 Continuous growth and decay

Continuous growth and decay

Lessons

Notes:
Continuous Growth/Decay: Af=Aiert { A_f = A_i e^{rt}}

Af {A_f} : final amount

Ai {A_i} : initial amount

e {e }
: constant = 2.718…

r {r }
: rate of growth/decay
• growth rate of 7% r=7100=0.07 \to {r = {7\over100} = 0.07}
• growth rate of 15%r=15100=0.15 \to {r = - {15\over100} = - 0.15}

t {t }
: total time given
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Continuous growth and decay

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