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1 January, 17:20

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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  1. 1 January, 20:34
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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.
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