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Katen [24]
2 years ago
5

A town has population of 5000 and grows at 3.5% every year. To the nearest tenth

Mathematics
1 answer:
Amanda [17]2 years ago
4 0

It would take approximately 11 years for this population to reach 7300.

<h3>How to calculate the time?</h3>

Based on the information provided, the future size of the population can be modelled by using an exponential function:

F = Pe^rt

Substituting the given parameters into the formula, we have;

7300 = 5000e^{0.035 × t}

7300/5000 = e^{0.035t}

1.46 = e^{0.035t}

Taking the ln of both sides, we have:

ln(1.46) = ln(e^{0.035t})

0.378 = 0.035t

t = 0.378/0.035

Time, t = 10.8 ≈ 11 years.

Read more on exponential functions here: brainly.com/question/15926922

#SPJ1

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