The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
a) As the base of the exponent is greater than 1 so it is exponential growth.
b) 500 in the equation represents the initial value.
c) We have another exponential equation:
For exponentikal gropwth:
1 + r = 1.6
r = 0.6 or
r = 6%
In the equation:
The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.
Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
Learn more about exponential decay here:
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Some key definitions:
<u>Reflexive property:</u> angles, line segments, shapes are congruent to themselves. Its easier to think of a shape: if you have a circle, then this circle is equal to itself.
<u>Symmetric property:</u> you can interchange the equal signs of an equation. So think of a=b is the same as b=a, its just the same thing written in a different order.
<u>Transitive property:</u> If a=b, and b=c, then a=c. Basically think of it as a=b=c, all of these variables are the same as each other.
So for the first clue, you have the reflexive property.
The second clue is the symmetric property.
The third clue is the transitive property.
Volume=height times area of base
area of base=pi times r^2
volume=(h)(pi)(r^2)
diameter=2r
diameger=8
8=2r
divide 2
4=r
h=3 times r
h=3r
r=4
h=3(4)
h=12
r=4
h=12
pi=3.14
subsitute
volume=(12)(3.14)(4^2)
volume=(12)(3.14)(16)
volume=602.88 in^3
The ratio would be 90pi/40pi.
Hope this helps:)