Answer:
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.
.Two-step inequalities<span> are very easy to solve and the rules you have to adhere to are the same as for the one-step inequalities – remember that you need to change the sign of inequality when </span><span> multiplying or </span>dividing<span> the whole inequality with a negative number. The </span>order of operations<span> will not come into play often since there are not many operations to perform here.
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Hope this helps:)</em></span>
6/10 and 12/20 are both equivalent to 3/5
A=futurer amount
P=present amount
r=rate in decimal
n=number of times compounded per year
t=time in years
A=2500
r=0.05
n=2
t=2
divide both sides by [tex} 1.025^{4} [/tex]
2264.88=P
he should invest
$2264.88
