Volume=4/3 pi r^3. so 4/3 pi r^3 = 500/3 pi. Therefore, divide by pi, and multiply by 3, you get 4r^3=500. Divide by 4 to get r^3=125, and cube root to result in 25. r=25.
The equation of a circle:

(h,k) - the coordinates of the centre
r - the radius
The midpoint of the diameter is the centre of a circle.
The coordinates of the midpoint:

(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

The centre of the circle is (2,5).
The radius is the distance between an endpoint of the diameter and the centre.
The formula for distance:


The radius is 5.
Answer:
he should chose compounded annually because he would have and extra 32.12 dollars at the end of the 4 years
Step-by-step explanation:
hope this helps
Answer:
B. $3100
Step-by-step explanation:
if he's going to pay for his friend. The least expensive dinner menu is $725, for him and his friend it would be $1450. Then for the movie tickets it's $8.00 each, $16.00. $1450+$16.00=$30.50. Round that to the closest whole number, $3100.
If a,b,c are the 3 positive integers
1/a +1/b +1/c > 6/abc
(bc+ac+ab)/abc >6/abc so
(bc+ac+ab)>6
The lowest positive integers that are different are 1,2,3 so the lowest value that (bc+ac+ab) could have is 1•2+2•3+1•3=2+6+3= 11 therefore
1/a +1/b +1/c > 6/abc is true