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amm1812
3 years ago
12

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate

parameter of
6.4
%

per hour. How many hours does it take for the size of the sample to double?
Note: This is a continuous exponential growth model.

Do not round any intermediate computations, and round your answer to the nearest hundredth.
Mathematics
1 answer:
nikdorinn [45]3 years ago
4 0
Log(2)/log(1.064) ≈ 11.17 . . . . hours

_____
The population can be given by
  p(n) = p₀×1.064ⁿ . . . . where n is the number of hours
You want to find n whe p(n) = 2*p₀.
  2p₀ = p₀×1.064ⁿ . . . . . . . . . . . . substitute the given information
  2 = 1.064ⁿ . . . . . . . . . . . . . . . . . divide by p₀
  log(2) = n×log(1.064) . . . . . . . . take logs to make it a linear equation
  log(2)/log(1.064) = n . . . . . . . . divide by the coefficient of n
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Answer:

the graph will describe 13x+15 if the cost per audio book goes up by $1.00.

Step-by-step explanation:

This happens because the coefficient to x is 12 before the change. If the change is the cost per audio book going up by one dollar, the coefficient changes to 13. The initial joining fee is the same ($15.00).

6 0
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Special right triangles: what is the value of x? enter your answer in the box.
tiny-mole [99]
I think you meant to add more to your question (posting the specific problem).
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7 0
3 years ago
2.25% as a fraction
svetlana [45]

Answer:9/4

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4 0
3 years ago
Read 2 more answers
Is -8.43 a integer whole number or a rational number ?
s2008m [1.1K]

Answer:

rational number

Step-by-step explanation:

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5 0
3 years ago
From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,25
vredina [299]

Answer:

The total value the U.S. imported and exported is 19364 billion dollars

Step-by-step explanation:

* Lets explain how to solve the problem

- The yearly value of U.S. exports can be modeled by the function

 E(x) = −228 x³ + 2,252.8 x² − 6,098.5 x + 11,425.8

# x is the number of years after 2008

# E(x) is the value of exports in billions of dollars

- The yearly value of U.S. imports can be modeled by the function

 I(x) = −400.4 x³ + 3,954.4 x² − 11,128.8 x + 17,749.6

# x is the number of years after 2008

# I(x) is the value of imports in billions of dollars

* We need to calculate the total value the U.S. imported and

 exported in 2012

∵ x is the number of years after 2008

∴ At 2012 x = 4 years

- Lets calculate the value of the exports in 2012

∴ E(x) = -228(4)³ + 2,252.8(4)² - 6,098.5(4) + 11,425.8

∴ E(x) = 8484.6 billion dollars

- Lets calculate the value of the imports in 2012

∴ I(x) = -400.4(4)³ + 3,954.4(4)² - 11,128.8(4) + 17,749.6

∴ I(x) = 10879.2 billion dollar

∵ The total value the U.S. imported and exported = E(x) + (I(x)

∴ The total value = 8484.6 + 10879.2 = 19363.8

∴ The total value = 19364 billion dollars

* The total value the U.S. imported and exported is 19364 billion dollars

7 0
3 years ago
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