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2 years ago

Use the line plots to answer each question.

Mathematics

1 answer:

vladimir1956 [14]2 years ago

7 0

Hmmmm that’s a Good question

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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

2 years ago

Nina thought of a number. She called her number y. She added 14 to her number, divided the result by 6, and she got 12. What was

Shalnov [3]

Y=58

y/6=12
y=72
72-14=58

3 0

2 years ago

Can some1 plz help me again, and plz show ur work!?!

Lynna [10]

Answer:

Step-by-step explanation:

Total height lowered = 75m

No of times balloon lowered = 5

Height lowered in each lowering = Total height lowered / No of times balloon lowered

= 75 / 5

= 15 m

The number indicated that each time balloon is lowered by 15 m

8 0

2 years ago

Read 2 more answers

What is the answer? Please tell me soon.

kykrilka [37]

Answer:

Step-by-step explanation:

it's only 1 number difference

5 0

2 years ago

Bruh why do i have to put a description its math

Lana71 [14]

4/1 x 4/2 =2.55

Explanation:

8 0

2 years ago

Read 2 more answers