There are 12 inches in a foot, so 9ft = 108in. Also, 80% = 0.8. Therefore the formula is:
h(n) = 108 * 0.8^n.
To find the bounce height after 10 bounces, substitute n=10 into the equation:
h(n) = 108 * 0.8^10 = 11.60in (2.d.p.).
Finally to find how many bounces happen before the height is less than one inch, substitute h(n) = 1, then rearrage with logarithms to solve for the power, x:
108 * 0.8^x = 1;
0.8^x = 1/108;
Ln(0.8^x) = ln(1/108);
xln(0.8) = ln(1\108);
x = ln(1/108) / ln(0.8) = -4.682 / -0.223 = 21 bounces
Answer:
35
Step-by-step explanation:
210/10=21 pens per friend
21+27=48 pens for benjamin
48-13=35 pens left
benjamin has 35 pens now
Answer:
the cost of each pen is 1.33
Step-by-step explanation:
if you multiply 0.75 by 8 you get 6 after that you subtract 6 from 12.65 which means you have 6.65 which you divide by 5 which equals 1.33
Consider the exponential function 
By definition, the domain of a function is the set of input argument values for which the function is real and defined.
Let we take
then 
then 
then 
If we chose larger values of x, we get larger function values.
For example, If we take 


Thus if we choose smaller and smaller values of x. the f unction values will be smaller and smaller functions.
Thus the domain of the function is the set of all real numbers.
Thus the range is limited to the set of positive real numbers. That is, 
If we choose larger values of x, we will get larger function values, as the function values will be larger powers of 2.
If we choose smaller and smaller x values, the function values will be smaller and smaller fractions.
<u>Answer: </u>
Chance bought a surf board for 249. Now it's on sale for 221.10 and 11.20% is the discount.
<u>Solution:
</u>
Step 1:
Bought price= RS.249
Sale price=RS.221.10
Step 2:
Discount = bought price - sales price
Discount = 249 - 221.10
Discount = 27.9
Step 3:
Discount Percent = 
Substitute the value for Discount which we found in step 2 in the above formulae
Discount Percent = 
On simplification, we get

Discount Percent = 11.20%
Result:
Hence from the given data, we got the discount percent is 11.20%