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Step2247 [10]
4 years ago
5

A marathon runner ran in 42 days. About how many miles did he run each day?

Mathematics
1 answer:
Evgen [1.6K]4 years ago
6 0

Answer:

how many miles did he run over the days ?

Step-by-step explanation:

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Help please!!!!!!!!!!!!!!
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3(n + 2) > 0

Step-by-step explanation:

Work on a piece at a time.

"sum of a number and two": n + 2

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"three times the sum of a number and two is greater than zero": 3(n + 2) > 0

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The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu
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Answer:

P(t) = P(0)e^{0.0693t}

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

\frac{dP(t)}{dt} = rP(t)

Which has the following solution:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

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This means that P(10) = 2P(0). We use this to find r.

P(t) = P(0)e^{rt}

2P(0) = P(0)e^{10r}

e^{10r} = 2

\ln{e^{10r}} = \ln{2}

10r = \ln{2}

r = \frac{\ln{2}}{10}

r = 0.0693

So the equation that will estimate the population of the community in t years is:

P(t) = P(0)e^{0.0693t}

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