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?

Question

tkhunny · Answer

M = Age at Maturity

There.  Simply writing the definition makes you about half done.

Now what?

dannyo19 · Answer

If you know one rate is 900 times years below a certain variable that when you reach you add a different rate, can you take a derivative?

tkhunny · Answer

What?  No calculus.

900M + 2200(220-M) = 289000

Simplify your life

9M + 22(220-M) = 2890

just_one_last_goodbye · Answer

Need help @tkhunny

anonymous · Answer

Would the answer be 188 years?

tkhunny · Answer

You can keep guessing or you can show your work.  How did you get that?