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3 years ago

Finding the image need help !

Mathematics

1 answer:

Paraphin [41]3 years ago

4 0

Answer:

what is the question??

Step-by-step explanation:

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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

Lady bird [3.3K]

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:

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

6 0

3 years ago

If the angle of a sector measures 60°, what fraction of the circle is the sector?

maks197457 [2]

The angle of the sector is also equal to the arc measure of the circle. This is because a sector is made up of two radii of a circle.

A circle is 360 degrees.

60 / 360 = 1/6

The sector is 1/6 of the circle.

Hope this helps!! :)

6 0

3 years ago

Help, please, I’m so confused

mel-nik [20]

Answer:

Uhhh just do all the process corectly :)

6 0

3 years ago

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Which equation could have been used to create this graph?

pishuonlain [190]

B. The y-intercept is 0 so it can't be C or D and the slope is 5/1. How I remember this is rise/run. Hope this helps!

3 0

3 years ago

Urgent please answer

Ghella [55]

Answer:

Step-by-step explanation:

-12 x -2 = 24

3 0

4 years ago

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