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In what year 200, the population of Virginia was about 7,400,000.
Between the years 200 and 2004, the population in Virginia grew at a rate of 5.4%.At this growth rate, the function f(x)= 7,400,000(1.054)^x
gives the population x years after 2000.

9.) In what year will the population reach 15,000,000?

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Respuesta :

carlosego
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.
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