Find the multiplicative inverse of 6 + 2i

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Ответ:

palomaresmitchelle

04.08.2020

Mathematics

$P(t) = 2000e^{-0.23t}$

Step-by-step explanation:

The exponential formula for the size of the bacteria 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 rate which the population changes.

A population of bacteria is initially 2,000.

This means that $P_{0} = 2000$

After three hours the population is 1,000.

This means that P(3) = 1000

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

$1000 = 2000e^{3r}$

$e^{3r} = 0.5$

$\ln{e^{3r}} = \ln{0.5}$

3r = -0.69

$r = \frac{-0.69}{3}$

r = -0.23

Find the exponential function that represents the size of the bacteria population after t hours.

$P(t) = 2000e^{-0.23t}$

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