3 years ago

Which one? first or second

Mathematics

1 answer:

nata0808 [166]3 years ago

6 0

Answer:

1÷5

Your Welcome :)

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In July 2005, the internet was linked by a global network of about 353 million host computers. The number of host computers has

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Answer:

$N(t) = 37.1(1.38)^t$

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

$N(t) = N(0)(1+r)^t$

In which N(0) is the initial value and r is the rate of change, as a decimal.

37.1 million in July 1998

This means that $N(0) = 37.1$

$N(t) = 37.1(1+r)^t$

In July 2005, the internet was linked by a global network of about 353 million host computers.

This is 2005 - 1998 = 7 years, so $N(7) = 353$ . We use this to find r.

$N(t) = 37.1(1+r)^t$

$353 = 37.1(1+r)^7$

$(1+r)^7 = \frac{353}{37.1}$

$\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}$

$1 + r = (\frac{353}{37.1})^{\frac{1}{7}}$

$1 + r = 1.38$

The formula is:

$N(t) = 37.1(1.38)^t$

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