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2 years ago

A city's population is represented by the function P=25,000(1.0095)t , where t is time in years.

Mathematics

2 answers:

dedylja [7]2 years ago

6 0

Daily growth rate: 0.003%

P = 25,000 [1.0095^(1/365)]^(t / 365)

Sophie [7]2 years ago

6 0

Answer:

The approximate daily growth rate is 0.0026%

The function can be rewritten as P = 25,000*[1.0095^(1/365)]^t, where now t is in days

Step-by-step explanation:

Given the formula:

P = 25,000*(1.0095)^t

25,000 indicates the initial population, t is the time elapsed in years, and P is the population after t years. After 1 year the population will be:

P = 25,000*(1.0095)

which is equivalent to:

P = 25,000*100.95%

that represents an increment of 0.95 % in a year. Given that the year has 365 days, then this represent a daily growth of 0.95/365 = 0.0026%

Dividing t by 365 in the original expression, so that, time is expressed in days, we get:

P = 25,000*(1.0095)^(t/365)

Which can be rewritten as:

P = 25,000*[1.0095^(1/365)]^t

P = 25,000*(1.000026)^t

That represents a daily growth rate of 0.0026% and now t is in days

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Sidana [21]

This is an incomplete question, here is a complete question.

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Step-by-step explanation :

As we are given:

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7 0

2 years ago

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Scrat [10]

Answer:

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2 years ago

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Annette [7]

<h2>Explanation:</h2>

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