ALG 7-8A QI Live Lesson Slides: 4 Slides

4 Slides • 2 Questions

1

Exponential

Growth & Decay

2

Fill in the Blanks

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.

Type answer...

3

$y=ae^{kt}$

a = 1000 $y=1000e^{\left(.0125\right)\left(40\right)}$
k = .0125 $y=1000e^{\left(.5\right)}$
t = 40 $y=1648.72$
$1649$

4

Fill in the Blanks

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.)

Type answer...

5

$A=Pe^{rt}$

a = 800 $A=800e^{\left(.045\right)\left(5\right)}$
k = .045 $A=800e^{\left(.225\right)}$
t = 5 $A=1001.86$
$1001.86

6

Exponential

Growth & Decay

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