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Keith_Richards [23]
2 years ago
12

Suppose A and B are points. How many lines contain both A and B?

Mathematics
2 answers:
spayn [35]2 years ago
7 0
One and only one line contains both A and B (assuming, that A and B do not overlap)
seraphim [82]2 years ago
6 0
Point A and point B should both contain one line
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Answer:

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Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

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A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

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