Answer:
Radius = 21
Step-by-step explanation:
Volume of a sphere = 4/3 * pie * radius^3
12,348 pie = 4/3 * pie * radius ^3
12,348 = 4/3 * radius^3
(12,348 * 3)/ 4 = radius^3
9261 = radius^3
radius = ![\sqrt[3]{9261}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9261%7D)
radius = 21
Answer:
(-4, 2) and (4, -5)
m = (-5 - 2)/(4 - (-4)) = -7/8
y = -7/8 * (x - (-4)) + 2
y = -7/8 * (x + 4) + 2
y = -7/8 * x - 3/2
11%
I multiplied the price by percentages up until I got a little over 2.
Answer:
The measure of one angle is
, and the measure of the other one is 
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders 
We need to find the measure of two such angles whose difference is precisely
.
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:

We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":

So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":

I find it convenient to look at the differences and the rate at which those differences are made up.
8. Jim is closing the $150 gap at the rate of $7.50 per week. He will catch up in
... 150/(7.5/week) = 20 weeks
9. At noon, the price of Stock A has increased by 0.05×3 = 0.15, so is now $15.90, which is $0.63 more than Stock B at that time. The prices are closing the gap at the rate of $0.05 +0.13 = $0.18 per hour, so will be the same after
... $0.63/($0.18/hour) = 3.5 hours . . . . after noon, at 3:30 pm
_____
You can also write and solve equations for the prices of the stocks. Or you can use a graphing calculator to tell you the solution. When equations are involved, I like to solve them the simplest possible way: let technology do it.
You are given the value at a time, and the rate of change of that value, so the equations are easily written in point-slope form. You will note that the common price at 3:30 pm (15.5 hours after midnight) is one that is not a whole number of cents. (That's usually OK for when trading stocks.)