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Roman55 [17]
3 years ago
14

An epidemiologist is observing the decay pattern of a pathogenic bacteria after applying a vaccine. He starts with 2,000 bacteri

a that decay at a rate of 4.5% per hour. He will check on the bacteria in 36 hours. How many bacteria will he find? Round your answer to the nearest whole number.
Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer:

Number of bacteria after 36 hour (A) = 381 (Approx)

Step-by-step explanation:

Given:

Number of bacteria (p) = 2,000

Total time (n) = 36 hours

Decay rate = 4.5 % = 0.045 per hour

Find:

Number of bacteria after 36 hour (A)

Computation:

A=p(1-r)^n

Number of bacteria after 36 hour (A) = 2,000[1-0.045]³⁶

Number of bacteria after 36 hour (A) = 2,000[0.955]³⁶

Number of bacteria after 36 hour (A) = 2,000[0.190599333]

Number of bacteria after 36 hour (A) = 381.19866

Number of bacteria after 36 hour (A) = 381 (Approx)

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Step-by-step explanation:

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Write one pair of brackets in this calculation so that the answer is correct. 5 + 2 × 7 – 4 = 11
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Answer:

5+2*(7-4) =11

Step-by-step explanation:

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svetlana [45]

Answer:

C, 20 units

Step-by-step explanation:

We see that both angles QRS and QTR are 90 degrees. In addition, angles SQR and RQT are equivalent (because they're both angle Q).

By AA Similarity, we know that triangle QTR is similar to triangle QRS.

With this similarity in mind, we can look at the ratios of corresponding lengths to set up a proportion. QR from triangle QTR is the hypotenuse, and it corresponds to hypotenuse QS from triangle QRS. So, we can write the ratio x/(9 + 16) = x/25.

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Cross-multiplying, we get: x^{2} =16*25=400.

Thus, x = \sqrt{400} =20. The answer is C, 20 units.

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