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Lilit [14]
2 years ago
5

An unusually wet spring has caused the size of a mosquito population in some city to increase by ​8% each day. If an estimated ​

180,000 mosquitoes are in the city on May ​, find how many mosquitoes will inhabit the city on May . Use y= 18​0,000 where x is number of days since May .
Mathematics
1 answer:
tatyana61 [14]2 years ago
3 0

Answer:

The number of mosquitoes that will inhabit the city on May 25 is 4,471,200.

Step-by-step explanation:

Note: This question is not complete as some important figures and points are omitted. The complete question is therefore provided before answering the question as follows:

An unusually wet spring has caused the size of a mosquito population in some city to increase by ​8% each day. If an estimated ​180,000 mosquitoes are in the city on May 12​, find how many mosquitoes will inhabit the city on May 25. Use y= 18​0,000(1.08)x where x is number of days since May 2.

The explanation to the answer is now given as follows:

Given;

y = 18​0,000(1.08)x = 18​0,000 * 1.08 * x .................... (1)

Where;

y = Number of mosquitoes that will inhabit the city on May 25 = ?

x = Number of days since May 2 = 25 - 2 = 23

Substituting for x = 23 into equation (1), we have:

y = 18​0,000 * 1.08 * 23

y = 4,471,200

Therefore, the number of mosquitoes that will inhabit the city on May 25 is 4,471,200.

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Step-by-step explanation:

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\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{81.9}{\sqrt{222}}\\\\=5.4968

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