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.
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