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ivolga24 [154]
3 years ago
10

The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an hourly rate of 1.4 percent. Using th

e model given by () = 0e, estimate the number of bacteria, rounded to the nearest whole number after 20 hours.
Mathematics
1 answer:
S_A_V [24]3 years ago
7 0

Answer:

The estimated number of bacteria after 20 hours is 40.

Step-by-step explanation:

This is a case where a geometrical progression is reported, which is a particular case of exponential growth and is defined by the following formula:

n(t) = n_{o}\cdot \left(1+\frac{r}{100} \right)^{t} (1)

Where:

n_{o} - Initial number of bacteria, dimensionless.

r - Increase growth of the experiment, expressed in percentage.

t - Time, measured in hours.

n(t) - Current number of bacteria, dimensionless.

If we know that n_{o} = 30, r = 1.4 and t = 20\,h, then the number of bacteria after 20 hours is:

n(t) = 30\cdot \left(1+\frac{1.4}{100} \right)^{20}

n(t) \approx 39.616

n(t) = 40

The estimated number of bacteria after 20 hours is 40.

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3 years ago
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