If A=w(50-w)
A=50w-w^2
dA/dw=50-2w
d2A/dw2=-2
Since the acceleration is a constant negative, that means that when velocity, dA/dw=0, it is at an absolute maximum for A(w)...
dA/d2=0 only when 50=2w, w=25
So as the case with any rectangle, the perfect square will enclose the greatest area possible with respect to a given amount of material to enclose that area...
So the greatest area occurs when W=L=25 in this case:
A(25)=50w-w^2
Area maximum is thus:
Amax=50(25)-(25)^2=625 u^2
Answer:
(0,-1)
Step-by-step explanation:
Answer:
3/2 or 1 1/2 or 1.5
Step-by-step explanation:
first do the equations in each parentheses:
(-5+2) = -3
(-1/2) = -1/2
then multiply both sides:
-3 • -1/2 (which is the same as -3 • -1 over 2)
= 3/2 or 1 1/2 or 1.5
Answer:
a) actual tip amount is $17
b) Total of dinner is $102.
Step-by-step explanation:
Given:
Dinner bill = $85
Tip for server = 20%
a) We need to find the actual tip given to server as it is in percent form.
To find actual tip we will divide the tip given to server in percent with total dinner bill and then multiply it with hundred.
Actual Tip amount = 
In Calculator first we will put 20 multiplied 85 we get 1700 and then in Calculator we will put 1700 and then divide by 100 we get $17
Hence the actual tip amount is $17.
b) We need to find the total of the dinner.
To find total of the dinner we will add dinner bill with actual amount paid to server.
Total of dinner = Dinner bill + Actual tip amount = $85 + $17 = $102
In Calculator we will first put the number 85 and then add 17 with it which gives 102
Hence Total of dinner is $102.
The answer is 120
Hope this helps