Question

e year 2000, the population of Virginia was about 7,400,000. een the years 2000 and 2004, the population in Virginia grew In th 7,400,000(1054)" arate of 5.4%. At this growth rate, the function f(x) gives the e population x years after 2000.

Answer 1

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For this case we have the following function:
f (x) = 7,400,000 (1,054) ^ x
Where,
x represents time in years.
Substituting f (x) = 15000000 we have:
15000000 = 7,400,000 (1,054) ^ x
Clearing x we have:
(1,054) ^ x = (15000000) / (7400000)
log1.054 ((1.054) ^ x) = log1.054 ((15000000) / (7400000))
x = log1.054 ((15000000) / (7400000))
x = 13.4 years
Rounding to the nearest year:
x = 14 years
Answer:
the population will reach 15,000,000 in 2014.