Growth/Decay
Growth/Decay Graphs
Logarithms
Properties of Logs
Solving
100
The population of Glenbard East is increasing at a rate of 1.5% per year. If the population is currently 2200, what will the population be in 3 years?
2300 students
100
Is the equation y=(1/2)x+1 - 4 a growth or decay function?
Decay
100
Write in exponential form: log232=5
25=32
100
Expand: log(3x2)
log3+2logx
100
102x+2=1004x-5
x=2
200
You buy a car worth $15,000. It is expected to depreciate in value at a rate of 20% per year. How much will it be worth in 10 years?
$1610.61
200
What is the equation of the horizontal asymptote for the equation: y=2x-3+5
y=5
200
Write in logarithmic form: 10x=1000
log1000=x (or log101000=x)
200
Condense: 2Log5+3logx-logy
log(25x3/y)
200
4(2)x=64
x=4
300
You invest $1000 in a bank account that pays you 2% interest compounded continuously. How much money will you have in the account after 24 years?
$1616.07
300
What direction and how many units is the vertical shift for the equation: y=(1/4)x+2-4
Down 4 units
300
Evaluate: log93
1/2
300
Evaluate: ln(e)-4
-4
300
e3x=5
x=ln(5)/3 = .5365
400
You currently have $5000 in an account that pays 3% annual interest compounded quarterly. If the money has been in the account for 10 years, what was the INITIAL amount invested?
$3708.24
400
What direction and how many units is the horizontal shift for the equation: y=(1/4)x+2-4
Left 2 units
400
Evaluate: log3(1/27)
-3
400
Evaluate: log2(4) + log2(8)
5
400
log(3x-2)=log(5x-10)
x=4
500
If you invest $10,000 at 5% interest compounded daily, how much INTEREST will you have earned after 2 years?
$1051.63
500
State the domain and range of the function: y=(1/4)x+2-4
Domain: All Real #s Range: y>-4
500
Find the inverse: y=log3(x-2)
y=3x+2
500
Evaluate: log100+log(1/10)
1
500
8log5(2x)=20
x=27.95
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