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Helga [31]
3 years ago
13

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model, with a

growth rate parameter of 17% per hour. Suppose also that a sample culture of 1600 is obtained from this population. Find the size of the sample after four hours. Round your awnser to the nearest integer
Mathematics
1 answer:
Len [333]3 years ago
4 0

Answer:

The size of the sample after four hours is of 3158 bacteria.

Step-by-step explanation:

The population after t hours can be modeled by the continuous exponential growth model, which is:

P(t) = P(0)e^{rt}

In which P(0) is the initial population and r is the growth rate paremeter.

A growth rate parameter of 17% per hour.

This means that r = 0.17

Suppose also that a sample culture of 1600 is obtained from this population.

This means that P(0) = 1600

Find the size of the sample after four hours.

This is P(4).

P(t) = P(0)e^{rt}

P(t) = 1600e^{0.17t}

P(4) = 1600e^{0.17*4}

P(4) = 3158.2

Rounding to the nearest integer

The size of the sample after four hours is of 3158 bacteria.

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1/6^3 is also equivalent to 6^-3. It can be reverted back to 1/216. Answers on ed2020 are A. and D.

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Solve 2x + 5y = –13. 3x – 4y = –8
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If you would like to solve 2x + 5y = - 13 and 3x - 4y = -8, you can do this using the following steps:

<span>2x + 5y = -13  /*4
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Simplify: 1.3 + (–6) + (–4.25)
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Answer:

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Step-by-step explanation:

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Hope this helps!

Have a nice day!

If you find my answer helpful

<em>Pls consider marking my answer as </em><em>Brainliest</em><em>! It would mean a lot!</em>

6 0
2 years ago
1) The population of a town was7652in 2016. The population grows at a rate of 1.6%annually.(a)Use the exponential growth model t
marshall27 [118]

Answer:

1. a) population of the town in 2024 = 8697

2.) the earthquake with a magnitude of 8 is a <u>100 times stronger</u> than an earthquake with a magnitude of 6.

Step-by-step explanation:

1) the population of a town was, N_{0}   = 7652 in 2016.

a) Exponential growth model is given by N(t) = N_{0} e^{kt} where t is the time in years after 2016.

 Year 2016 is when t = 0.

  k = growth rate constant = 1.6% = 0.016

 i) therefore the population of the town in 2024

    = N = N_{0} e^{kt}  = 7652e^{0.016\times8}  = 8697   ( to the nearest whole number)

2.) log (I \times M \times S) = magnitude of earthquake  where I is the Intensity of the earthquake and S is the intensity of a standard earthquake

therefore  I \times M \times S = 10^{magnitude\hspace{0.1cm}of\hspace{0.1cm}earthquake}

therefore \frac{strength\hspace{0.1cm}of\hspace{0.1cm}earthquake\hspace{0.1cm}1 }{strength\hspace{0.1cm}of\hspace{0.1cm}earthquake\hspace{0.1cm}2}  = \frac{10^{8} }{10^{6} }  = 100

 

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3 years ago
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