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Mekhanik [1.2K]
3 years ago
10

Suppose the population of a certain city is 5831 thousand. It is expected to decrease to 5204 thousand in 50 years. Find the per

cent decrease.
Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0

Answer:

The percent decrease is approximately 10.75\%

(Don't know what you are expected to round to.)

Step-by-step explanation:

Percent change can be calculated by doing:

\frac{\text{original}-\text{new}}{\text{original}}

Then you multiply the result to covert it to a percentage.

Let's use this formula:

\frac{5831 \text{thousand}-5204 \text{ thousand }}{5831 \text{thousand}}

\frac{\text{thousand}}{\text{thousand}} \cdot \frac{5831-5204}{5831}

\frac{5831-5204}{5831}

\frac{627}{5831}

0.1075 approximately

Now the answer as a percent is 10.75\% approximately.

The percent decrease is approximately 10.75\%

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= 3 \times ( 8^2 ) + 2\times \frac{64\sqrt{ 3} }{4}

=  192+ 2\times \frac{64\sqrt{ 3} }{4}

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= 247.425625842\approx 247.43\text { square ft}

Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft

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= 64 + 3.14\times 48

= 214.72\text { square ft}

Since, 214.72 < 247.43

Thus, Tunnel tent requires less nylon to manufacture.

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