Answer:
When a radius of a circle is drawn to a point of tangency (from the center, of the circle, of course), that radius is perpendicular to the tangent line
Step-by-step explanation:
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Answer:
P(t) = 20.7e^0.0087816t
Step-by-step explanation:
Given that :
Initial population ; Jan 1, 2000 = 20.7 million
Current population ; Jan, 2010 = 22.6 million
A function of the form P(t)
Where t = time
Usingbthe exponential growth function :
P(t) = Poe^rt ;
P(t) = population at a time after the initial population figure
Po = initial population
r = growth rate
t = time in years
P(t) = population in 2010 = 22.6 million
Po = population in 2000 = 20.7 million
t = 10 years
22.6 = 20.7e^r * 10
22.6 = 20.7e^10r
22.6 / 20.7 = e^10r
1.0917874 = e^10r
Take the In of both sides
In(1.0917874) = 1n(e^10r)
0.0878162 = 10r
r = 0.0878162 / 10
r = 0.0087816
Hence,
P(t) = 20.7e^0.0087816t
This is a type of permutation problems in statistics. A permutation is a way in which the set of numbers can be arranged or order. In mathematics permutation relates to the act of ordering or arranging all the set of numbers into some sequence or order, or if the set is already in order or arranged its element the process is called permuting. Well, there are seven ways the first place can come in, then 6 ways for a second, and then 5 ways for third... so we multiply the 3 ways to get on how many different ways the first three finishers come in. 7*6*5 = 210 ways