You are told the ages of Karen and David in terms of Michelle's age.
Let m = Michelle's age.
Michelle's age = m
Karen's age = m + 6
Michelle is two years younger than David, so David is two years older than Michelle.
David's age = m + 2
Add the ages and get 62.
m + m + 6 + m + 2 = 62
3m + 8 = 62
3m = 54
m = 18
Michelle is 18 years old
Karen is 6 years older, so she is 24 years old.
David is 2 years older than Michelle, so he is 20 years old.
Answer:
The height of the cone h = 27(x^4)y
Step-by-step explanation:
Firstly, we calculate the volume of the cylinder.
Mathematically, the volume of the cylinder is pi * r^2 * h
using the radius x and height y
The volume V of the cylinder is ;
V = pi * x^2 * y
Now we know they have the same volume V, the formula for the volume of a cone is ;
1/3 * pi * r^2 * h
Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;
V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y
The pi gives way as it cancels out on both sides and we have the following;
h/27x^2 = x^2y
Mathematically h = x^2 * y * 27x^2
h = 27(x^4)y
p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x
Answer:
3 ounces.
Step-by-step explanation:
We have been given that Me Zachary brings 264 ounces of water to basketball practice for the players to drink. Mr Zachary divides the water equally among the 9 players. We are asked to find the amount of water that is left over.
To find the amount of water that is left over, we will take out the largest multiple of 9 from 264.
Let us divide 264 by 9.
9) 264(29
<u> 18</u>
84
<u> 81</u>
3
We can see that remainder in 3, therefore, 3 ounces of water will be left over.
Given
Present investment, P = 22000
APR, r = 0.0525
compounding time = 10 years
Future amount, A
A. compounded annually
n=10*1=10
i=r=0.0525
A=P(1+i)^n
=22000(1+0.0525)^10
=36698.11
B. compounded quarterly
n=10*4=40
i=r/4=0.0525/4
A=P(1+i)^n
=22000*(1+0.0525/4)^40
=37063.29
Therefore, by compounding quarterly, she will get, at the end of 10 years investment, an additional amount of
37063.29-36698.11
=$365.18
