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Lisa [10]
3 years ago
8

Jonathan is renting an extended-stay suite. He needs to pay an initial deposit of $150 in addition to the rent of $150 every two

days.
Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0

Answer:

the equation you need is y=150+150x

x represents two days

Step-by-step explanation:


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) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick
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Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

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=The area of the outer circle - The area of the inner circle

= \pi (r+\triangle r)^2- \pi r^2

=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]

=\pi [2r\triangle r+(\triangle r)^2]

Since (Δr)² is very small, So it is ignorable.

∴A=2\pi r\triangle r

The density \delta (r)= \frac{40}{1+r^2}

We know,

Mass= Area× density

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Total mass M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i

Therefore

\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr

                      =40\pi[ln(1+r^2)]_0^5

                      =40\pi [ln(1+5^2)-ln(1+0^2)]

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Therefore the mass of the of the oil is 409.59 kg.

3 0
3 years ago
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