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Ksivusya [100]
3 years ago
6

A region with a 15 mile diameter has a population density of about 5000 people per square mile. Find the number of people who li

ve in the region.
Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

<u>55</u> of people

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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.

The population has doubled in 10 years

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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3 years ago
Where are my smart friends?? I had $13.00. My Mom gave me $10.00. My Dad gave me $30.00. My Aunt, My Uncle, and grandma gave me
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Answer:

This would bring you to $160.00. This is because you initially had $20.00, because of the $13 and $7. Then, your family gave you a total of $140.00, and 140 + 20 = 160.

Step-by-step explanation:

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PLEASE ANSWER!!<br>I NEED HELP!!
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Step-by-step explanation:

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Answer:

all of the options

Step-by-step explanation:

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3^-1 ___ 1/4 <br> a &gt; <br> b &lt; <br> c =
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Answer:

a ">"

Step-by-step explanation:

3 to the power negative one (-1) is the same as 1/3 (one unit divided by 3).

1/4 on the other hand is one unit divided by 4.

Dividing one object into three parts (think for example a chocolate bar) gives you a larger (greater) piece than dividing it into four equal pieces.

Therefore 1/3  > 1/4

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