The answer is in the picture below
Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
4/3 • 5/3 = 20/9 divided by 2 = 10/9
18 x 40 = 720 per week.....720 x 4 = 2880 per month earnings
net pay = 0.72(2880) = 2073.60 <=== cash inflow.
how much he spends per month is his cash outflow.
