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Sagot :
Answer: 647,418
Given:
Initial population = 290,000
Growth rate = 5.5% = 0.055
Time = 15 years
The formula that we'll be needing is the exponential growth formula which is noted as:
[tex]f(x)=a(1+r)^x[/tex]Where:
a = initial population
r - rate
x = time
From the given, we know that:
a = 290 000
r = 0.055
x = 15
Substitute these to the formula and we will get:
[tex]\begin{gathered} f(x)=a(1+r)^{x} \\ f(15)=(290000)(1+0.055)^{15} \\ f(15)=647418.1827\approx647418 \end{gathered}[/tex]Therefore, in 15 years, the population will be around 647,418.
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