Please help!! will mark branliest 6.7 problem 13
A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!)

(a) Find a formula for h(n), the height in inches reached by the ball on bounce n.
h(n)=

(b) How high will the ball bounce on the 8th bounce?
h=

(c) How many bounces before the ball rises no higher than an inch?

a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet).  You can see where this is going. After n bounces the ball will be at

b. After 8 bounces we can apply the previous formula with n = 8 to get

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:

Let's first isolate the fraction by dividing by 72.

 Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

sup

step-by-step explanation: