The equation for volume of a sphere is (4/3)(pi)(r)^3. So you would plug in he radius 9 into the equation. It would simplify to equal (4/3)(pi)(729). It simplifies further to equal (972)(pi)
Answer:
60 + 70n ≤ 200
Step-by-step explanation:
Since the $200 is a maximum, only inequalities with "≤ 200" make any sense in this context.
Since the unit rate for training sessins is $70, only expressions containing 70n make any sense in this context.
The only inequaity that makes any sense in this context is ...
60 + 70n ≤ 200
P = 300 $; r = 0.06; t = 20; n = 1
A = P ( 1 + r/n)^n*t
= 300 ( 1 + 0.06) ²⁰
= 300 ( 1.06) ²⁰
= 962.14
Answer:
y-intercept: (0, 5); slope: 1/4
Step-by-step explanation:
The slope (m) is found from ...
m = (y2 -y1)/(x2 -x1)
Using the first two points in the table, this is ...
m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C
__
Then, the point-slope form of the equation of the line can be written as ...
y -y1 = m(x -x1)
y -6 = (1/4)(x -4) . . . fill in known values
y = 1/4x -1 +6 . . . . . add 6
y = 1/4x +5
Then the value of y when x=0 is ...
y = 0 +5 = 5
So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.