ALG 7-8A QI Live

Exponential

Growth & Decay

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Q1: A type of bacteria is growing at a continuous rate of 1.25%.  If there are 1000 cells initially, how many cells are there after 40 minutes?  Round to the nearest whole number.

 $y=ae^{kt}$  

• a = 1000      $y=1000e^{\left(.0125\right)\left(40\right)}$  

• k = .0125     $y=1000e^{\left(.5\right)}$  

• t = 40            $y=1648.72$  

•                       $1649$  

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Q2: If you deposited $800 in an account paying 4.5% interest compounded continuously, how much money would be in the account in 5 years?

(Your answer should be in terms of money.)

 $A=Pe^{rt}$  

• a = 800        $A=800e^{\left(.045\right)\left(5\right)}$  

• k = .045       $A=800e^{\left(.225\right)}$  

• t = 5             $A=1001.86$  

•                      $1001.86