$47.88 your answer and I am the most important person in the world.
Answer:
132−15+12
Step-by-step explanation:
We need to call for x minute
+ Phone Company A charges a monthly fee of $42.50, and $0.02 for each minute talk time. So we have to spend: <span>$42.50+ $0.02x
+ </span>Phone company B charges a monthly fee of $25.00, and $0.09 for each minute of talk time. So we have to spend: <span>$25.00+ $0.09x
We solve for x: </span>$42.50+ $0.02x> <span>$25.00+ $0.09x
or </span>$42.50- $25.00 > $0.09x- <span>$0.02x
and we have $0.07x<$27.50
or x< 27.50:0.07 and x< 393.86
The answer is:
If we have to call much time, at least 394 minutes, we should choose A
If not, choose B</span>
Answer:
Radius of sphere is 3 units.
Step-by-step explanation:
Volume of sphere is given by ![4/3 \pi r^3](https://tex.z-dn.net/?f=4%2F3%20%5Cpi%20r%5E3)
surface area of sphere is given by ![4 \pi r^2](https://tex.z-dn.net/?f=4%20%5Cpi%20r%5E2)
where r is the radius of the sphere.
Given that
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.
we equate formula of Volume of sphere and surface area of sphere
assuming r as the radius.
thus,
![4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3](https://tex.z-dn.net/?f=4%2F3%20%5Cpi%20r%5E3%20%3D%204%20%5Cpi%20r%5E2%5C%5C%5C%5C4%2F3%20%5Cpi%20r%5E3%2F%204%20%5Cpi%20r%5E2%20%3D%201%5C%5C%3D%3Er%2F3%20%3D%201%5C%5C%3D%3E%20r%20%3D%203)
Thus, radius of sphere is 3 units.
Answer:
The first amount is larger by 25% or .25a
Step-by-step explanation:
Lets increase a by 50%
The increase is .5a
So the new value is a + .5a = 1.5a
Now we will decrease the new value by 50%
decrease = .5 (1.5a) = .75a
The new value of a is 1.5a - .75a = .75a
a > .75a
a - .75a = .25a
a is bigger than .75a by .25a