Question

A hot-air balloon rises 90 feet in its first minute of flight. In each succeeding minute, it rises only 90% as far as it did during the preceeding minute. What is the final height of the balloon when it stops rising?

Answer 1

90 + 90(.9) + 90(.9)(.9) + 90(.9)(.9)(.9) + ....

Answer 2

90/(1-.90)

Answer 3

How far do you keep going?

Answer 4

infinity :)

Answer 5

\[90\frac{1-.9^{\infty}}{1-.9}=90\frac{1}{1-.9}\]

Answer 6

So 900?

Answer 7

yes

Answer 8

Thank you! :)

Answer 9

yw