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# Interest Rates and Percentages

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Two weeks ago, Alice came home from vacation and noticed that a bean plant was growing in her garden. Today, the stalk is 452 centimeters tall, and Alice observed that its height increases by 5% every day. How tall was the plant 2 weeks ago when she first noticed it growing? Express your answer as a decimal to the nearest tenth.

Thank you!

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#1
+82676
+1

Not sure what "interest rate" is being accounted for, here.....maybe we should leave that for the "bean counters"......however....as to the "bean growers" like Alice, we can proceed as follows :

2 weeks = 14 days....so

452  = H ( 1.05)^14    wher H is the original height

Divide both sides by   (1.05)^14

452 / (1.05)^14   = H  ≈  228.3  cm

CPhill  Dec 3, 2017
#2
+532
+1

:D:D

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