Respuesta :
Answer:
12 years at that interest rate you will have 5,072
Step-by-step explanation:
It will take 23 years until the population will reach 5100.
What is sample space?
A sample space is a collection of a set of possible outcomes of a random experiment.
A town has a population of 4000 and grows at 2% every year.
The Formula to calculate the population with the growth rate every year,
[tex]\rm F=P(1+r)^t[/tex]
Where, F - Population after t years, P - Initial population, r - Rate of growth, t - No.of years.
Substitute all the values in the formula
[tex]\rm F=P(1+r)^t\\\\5100=4000(1+0.02)^t\\\\\dfrac{5100}{4000}=(1.02)^t\\\\\dfrac{51}{40}=(1.02)^t\\\\1.27=(1.02)^t\\\\ log1.27 =t \times log 1.02\\\\t =\dfrac{log1.27}{log1.02}\\\\t=\dfrac{0.23}{0.01}\\\\t=23[/tex]
Hence, it will take 23 years until the population will reach 5100.
Learn more about sample space here;
https://brainly.com/question/15654974
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