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8 August, 03:47

An oak tree that is 220 years old produced acorns at two different rates. Until it reached maturity, it produced an average of 900 acorns a year. However, once the tree reached maturity, it produced an average of 2200 acorns a year. One particular tree, Angel Oak, has produced about 289,000 acorns in its lifetime. At what age did it reach maturity?

A) 188

B) 150

C) 138

D) 148

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Answers (1)
  1. 8 August, 04:02
    0
    The answer is B: 150

    Let a be the age at which the tree reaches maturity

    289000 = 900a + 2200 (220-a)

    289000 = 900a + 484000 - 2200a

    289000 - 484000 = - 1300a

    a = - 19500 / - 1300

    a = 150
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