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LenaWriter [7]
3 years ago
14

You get in an elevator and go down 8 floors. You exit on the 16th floor. Write and solve an equation to find what floor you got

on the elevator.
Mathematics
1 answer:
disa [49]3 years ago
3 0
So floor that you started is x
go down 8 means -8
end on 16

so
x-8=16
add 8
x=24

started on 24
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A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day (t in days). Find the insect population after 6 day
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Answer:

The insect population after 6 days is of 1639 insects.

Step-by-step explanation:

A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day

This means that r(t) = 230 + 8t + 0.9t^2

The population of insects after x days is given by:

P(t) = \int_{0}^{x}r(t)dt

So

P(x) = \int_{0}^{x} (230 + 8t + 0.9t^2)

P(x) = 230t + 4t^2 + 0.3t^3 + K|_{0}^{x}

P(x) = 230x + 4x^2 + 0.3x^3 + K

In which K is the initital population(which is 50). So

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After 6 days:

P(6) = 230*6 + 4*6^2 + 0.3*6^3 + 50 = 1638.8

Rounding to the nearest insect, 1639

The insect population after 6 days is of 1639 insects.

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3 years ago
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kvasek [131]

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This may look like a complicated problem but it's some simple analyzing of the problem to get the job done:

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