bellwork if you have 120 m of fencing to make three side-by-side enclosures, what is the maximum...
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BellworkIf you have 120 m of fencing to make three side-by-side enclosures, what is the maximum area that you can enclose?
450 sq m
![Page 2: Bellwork If you have 120 m of fencing to make three side-by-side enclosures, what is the maximum area that you can enclose? 450 sq m](https://reader035.vdocuments.us/reader035/viewer/2022070410/56649ed25503460f94be1270/html5/thumbnails/2.jpg)
EXPONENTS AND LOGS
•Integral, rational and real exponents
•Exponential growth and decay
•Natural exponential functions (e)
•Compound Interest
•Logs
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Integral Exponents5.1
•Define the Laws of Exponents (p. 170)•Apply the Laws of Exponents
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Exponent Rules(Page 170)
• When multiplying – add exponents
• When dividing – subtract exponents
• Power to a power – multiply exponents
• Negative exponent – flips upside down
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Examples: No Calculator!!!
28
2
4
3
3)3( 23 )5( x
8 3
4
n n
n
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More Examples of Simplifying Exponents
)( 353 xxx
4
23
2
46
x
xx
43 2
2 3
x y
x y xy
1
1
1 y
y y
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SIMPLIFY BY USING POWERS OF THE SAME BASE:
8 5
1
2 4
16
3
2
25 5
125
n
n
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Exponential Growth and Decay
If you know that the cost of attending collegehas been averaging a 10 percent increase every yearfor the last 10 years, how much would it cost to attendcollege today if it cost your friend $30,000 7 years ago?
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Exponential Growth and Decay Formula
0( ) 1t
A t A r Initial amount
Rate How long?
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If you know that the cost of attending collegehas been averaging a 10 percent increase every yearfor the last 10 years, how much would it cost to attendcollege today if it cost your friend $30,000 7 years ago?
7( ) 30,000(1 .10)A t
Initial amount
Rate How long?
$58,461.51
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In a city, the value of a house is increasing at a rate of 16% annually.
Find the value of a house currently worth $100,000
after 4 years.
$181,063.94
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In how many years will the value of the house be
approximately double the current cost?
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What was the approximate price 3 years ago assuming this
increase had been constant?