An apple tree measures 20 1/2 feet tal,over the next five years,it grew to the height of 28 feet. What was the average yearly growth of the

Question

An apple tree measures 20 1/2 feet tal,over the next five years,it grew to the height of 28 feet. What was the average yearly growth of the apple tree

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Dulcie 4 years 2021-08-23T07:48:44+00:00 1 Answers 9 views 0

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  1. King
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    2021-08-23T07:50:06+00:00
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    Answer:

    6.4%

    Step-by-step explanation:

    We solve this question in using the population growth rate formula

    P(t) = Po(1 + r)^t

    P(t) = Population after t years = 28 ft

    Po = Initial Population = 20 1/2 feet or 20.5 feet

    r = Growth rate = ?

    t = Time in years = 5

    Hence:

    28 = 20.5 (1 + r)⁵

    Divide both side by 20.5

    28/20.5 = 20.5 (1 + r)⁵/20.5

    1.3658536585 = (1 + r)⁵

    5th root both sides.

    5√(1.3658536585) = 5√(1 + r)⁵

    1.0643411027 = 1 + r

    r = 1.0643411027 – 1

    r = 0.0643411027

    Converting to percentage

    r = 0.0643411027 × 100

    r = 6.43411027%

    Approximately = 6.4%

    The yearly growth rate of the apple tree = 6.4%

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