Answer: 2 months, Total cost= $72
Step-by-step explanation:
Let x denote the number of months then
For Club A fee= 28+22x
For Club B fee= 16+28x
Equating both we get
28 + 22x= 16+28x
28-16= 28-22x
12= 6x
x= 2
So after 2 months the fee will be same i.e. 28+22(2)= $72
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
Answer:
The range of possible values for the third side called c is;
11 > c or c < 11
Step-by-step explanation:
Here in this question, we are concerned with giving the range of the third side of the triangle.
What we will be using to get this range is the triangle inequality theorem.
Mathematically, the sum of the length of the two sides must be greater than the length of the third side.
So let’s call the third side c
Thus, the range of values we are to work with is;
5 + 6 > c
11 > c
0.5=0.85^x taking the natural log of both sides...
ln0.5=x ln0.85
x=ln0.5/(ln0.85)
x≈4.265
Then:
f=20000(0.85)^(4.265)
f=$10000.00 to nearest dollar
Answer:
linear pair = 3,1 or 5,7
vertical angles = 7,8
supplementary = 1,8 or 2,7
Step-by-step explanation:
