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Veronika [31]
3 years ago
8

your cell phone plan costs ​$29.99 per month plus ​$0.17 for each text message you send or receive. you have at most ​$36 to spe

nd on your cell phone bill. what is the maximum number of text messages that you can send or receive next​ month?
Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

Answer:

35 is the maximum number of text messages that you can send or receive next​ month

Step-by-step explanation:

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A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13
charle [14.2K]

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

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

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

Started with 5000 bacteria

This means that P(0) = 5000

So

P(t) = 5000e^{rt}

After three hours it grew 6500 bacteria:

This means that P(3) = 6500. We use this to find r.

P(t) = 5000e^{rt}

6500 = 5000e^{3r}

e^{3r} = \frac{65}{50}

\ln{e^{3r}} = \ln{\frac{65}{50}}

3r = \ln{\frac{65}{50}}

r = \frac{\ln{\frac{65}{50}}}{3}

r = 0.0875

So

P(t) = 5000e^{0.0875t}

How many bacteria will be present after 13 hours?

This is P(13). So

P(13) = 5000e^{0.0875*13} = 15594.8

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

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3 years ago
Find the volume of the oblique cylinder. Round your answer  to the nearest tenth. 
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Answer:

The Volume of an Oblique Cylinder:

An oblique cylinder, on the other side, is a cylinder whose base and top are not perpendicular to the sides. Interestingly, the volume of an oblique cylinder is the same as the volume of a right cylinder, and it is calculated as V=πr2h V = π r 2 h .

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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