Euclid of Alexandria is known as the father of modern geometry.
Answer:
D. $5,000
Step-by-step explanation:
The amount of money he should deposit is the principal.
The principal P can be gotten by
P = 100 I /RT
Where
I = interest
R = rate
T = Time
Given
I = $240
R = 1.6%
T = 3 yrs
P = 100 x 240 /1.6 x 3
Multiply through
= 24000/4.8
= $5000
For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:
![V = A_ {b} * h](https://tex.z-dn.net/?f=V%20%3D%20A_%20%7Bb%7D%20%2A%20h)
Where:
: It is the area of the base
h: It's the height
Substituting:![V = 6 * 6 * 6\\V = 216 \ units ^ 3](https://tex.z-dn.net/?f=V%20%3D%206%20%2A%206%20%2A%206%5C%5CV%20%3D%20216%20%5C%20units%20%5E%203)
The volume of the pyramid is given by:
![V = \frac {1} {3} * L ^ 2 * h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20%2A%20L%20%5E%202%20%2A%20h)
Where:
It is the area of the base
h: It's the height
Substituting:
![V = \frac {1} {3} * 6 ^ 2 * 5\\V = \frac {1} {3} * 36 * 5\\V = 60units ^ 3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20%2A%206%20%5E%202%20%2A%205%5C%5CV%20%3D%20%5Cfrac%20%7B1%7D%20%7B3%7D%20%2A%2036%20%2A%205%5C%5CV%20%3D%2060units%20%5E%203)
We add and we have:
![V = 276 \ units ^ 3](https://tex.z-dn.net/?f=V%20%3D%20276%20%5C%20units%20%5E%203)
ANswer:
Option D
15ft because 12x.25=3 so 3ft is 25% of the 12ft, add the 3+12=15
1/3 Probability both are red
red picked first:
6/10
red picked second:
5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)
6/10 * 5/10 = 1/3
Hope that helps!!