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crimeas [40]
3 years ago
13

B. Study and complete the table by giving the missing place value and/or value of

Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

gxvdyevdgehdhhdnrnjft

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There are approximately 7.7 billion humans on Earth. If the virus spreads beyond the 200-person town, how long will it be until
eimsori [14]

Answer:

25.2 weeks until everyone on the planet is infected

Step-by-step explanation:

The number of infected people after t weeks has the following format:

P(t) = P(0)(1+r)^{t}

In which P(0) is the initial number of infected people and r is the growth rate, as a decimal.

The number of infected people doubles every week

This means that P(1) = 2P(0)

So

P(t) = P(0)(1+r)^{t}

2P(0) = P(0)(1+r)

1 + r = 2

r = 1

So

P(t) = P(0)*(2)^{t}

200-person town

This means that P(0) = 200

So

P(t) = P(0)*(2)^{t}

P(t) = 200*(2)^{t}

How long will it be until everyone on the planet is infected?

This is t for which P(t) = 7700000000[/tex]

So

P(t) = 200*(2)^{t}

7700000000 = 200*(2)^{t}

2^{t} = \frac{7700000000}{200}

\log{2^{t}} = \log{\frac{7700000000}{200}}

t\log{2} = \log{\frac{7700000000}{200}}

t = \frac{\log{\frac{7700000000}{200}}}{\log{2}}

t = 25.2

25.2 weeks until everyone on the planet is infected

4 0
4 years ago
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