The maximum height of the function is 9
<h3>How to determine the maximum height?</h3>
The equation of the function is given as:
n=-1t^2 + 2t + 8
Differentiate the function
n' = -2t + 2
Set to 0
-2t + 2 = 0
Subtract 2 from both sides
-2t = -2
Divide both sides by -2
t = 1
Substitute t = 1 in n=-1t^2 + 2t + 8
n=-1(1)^2 + 2(1) + 8
Evaluate
n=9
Hence, the maximum height of the function is 9
Read more about maximum values at:
brainly.com/question/10373132
#SPJ1
Divide both sides by 2 2(x+2)=-
move constant to the right x+2=-2
calculate x=-2-2
x=-4
13,500 at 5.2 for 8 years compounded semi-annually.
Total = Principal * (1 + rate/n) ^n * years
where "n" = number of compounding periods per year.
Total = 13,500 * (1 + .052 / 2) ^ 2 * 8
Total = 13,500 * (1.026) ^ 16
Total = 13,500 * 1.5078487226
Total = 20,355.96
Source
1728.com/compint3.htm
97.5% of American women have shoe sizes that are no more than 11.47.
Lets try to solve the question,
Given values ,
Dev (u) = 8.47
Standard deviation (x) = 1.47
So we e have to find the percentage of American women whose shoe size's are not more than 11.47 P(x<11.47).
Lets find z score by using empirical formula.
=> 
=> 
=> 
Now we have to find 
. Using the empirical rule, we know that 97.5% data lies below 2 standard deviations above mean.
Therefore the 97.5% of American women have shoe sizes that are no more than 11.47.
Learn more about on:
brainly.com/question/11048871
#SPJ10
