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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13-05-2018
Mathematics

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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?

If you could answer this thx and I will give you the most brainliest

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carlosego carlosego · Answer 1 · 2018-05-22T20:37:32+02:00

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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