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

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% Log in to Reply

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%