Exponential growth and decay

Question

A nautilus shell is made up of many chambers, each chamber roughly 5% larger than the previous one. Assuming a nautilus creates a new chamber every year, and this year's chamber has a volume of 970 microliters, how large will the chamber created in 15 years be?

Answer 1

Since the chamber size grows by 5% each year, next year's chamber with be 105% of this year's chamber (100% of this year's size plus 5% more) or 1.05 times this year's size. So, if this year's chamber is 970 microliters, then next year's will be 970 *1.05 microliters, and 2 years from now will be 1.05*next year's = 1.05*1.05*970 microliters. Continuing in this patterm, 15 years from now, the chamber will be 1.05*1.05*1.05 . . .  [15 times] * 970 microliters or, in exponential form (1.05¹⁵)*970 microleters.

Answer 2

I can't get the tool bar!!!