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
Well (1.57- 0.6 X 0.6) x 0.3 = 0.363
B) c - 1/5c - 40 = 120
c- (original cost) - 1/5c (sale) - 40(coupon)= 120(final cost)
Hope that helps! :)
The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x
He sells used drones at 70% of the price (x).
So, the selling price of a used drone is:

Express percentage as decimal


Also, he sells new drones at 15% more of the price (x).
So, the selling price of a new drone is:

Express percentage as decimal



The amount saved is the difference between the prices of the drones.
So, we have:

This gives

Subtract

Express as a function

Hence, the function for the amount saved is f(x) = 0.45x
Read more about proportions at:
brainly.com/question/13114933
First lets get 3% into decimal form.
3% is 3/100 = 0.03
Now multiply 0.03 by 47000 to get how much extra money she was going to get.
47000 * 0.03 = 1410
Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012
Another way to do this is
(47000)(1+0.03) = 48410
you would use (1+0.03) which tells you she increased in pay.