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Ivenika [448]
3 years ago
15

Oose the situation which would best be modeled by an exponential decay function.

Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer:

The following would be best modeled by an exponential decay function

A.) An island is being eroded away and loses 10% of its beachfront every year.

D.) A machine depreciates (loses value) by $1000 in its first year, by $2000 in its second, $3000 in its third, etc.

Step-by-step explanation:

The following would be best modeled by an exponential decay function

A.) An island is being eroded away and loses 10% of its beachfront every year.

D.) A machine depreciates (loses value) by $1000 in its first year, by $2000 in its second, $3000 in its third, etc.

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Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If th
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Answer:

C. 31.83 feet.

Step-by-step explanation:

We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.

First of all, we will find the surface area of dog pen using surface area of cylinder.

\text{Surface area of cylinder}=2\pi rh,where,

r = Radius of cylinder,

h = Height of cylinder.

\text{Surface area of cylinder}=2\pi r*5

\text{Surface area of cylinder}=10\pi r

Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.

Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

1000=10\pi r

Upon dividing both sides of our equation by 10 pi we will get,

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31.8309886=r

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Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.

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3 years ago
12,548 rounded to the nearest thousand and 4,685 rounded to the nearest thousand​
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Answer:

12,548 rounded to the nearest thousand is 13,000 and 4,685 rounded to the nearest thousand is 5,000

Step-by-step explanation:

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Which fraction is equivalent to the fraction shown by this model. 12/9​
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Answer:

4/3

Step-by-step explanation:

12/9 is equivalent to 4/3, because you can divide both the numerator and denominator by the common factor of 3 and that will give you the correct fraction: 4/3.

Hope this helped.

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