Because of the radius of the cube the math answer has to be 4
Answer:
The simplified form of given expression is 3/5.
Step-by-step explanation:
The given expression is

We need to find the product of two factions using diagram.
For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.
For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.
Now combined both boxes and shown below.
From the below figure it is clear that
The number of common shaded small boxes = 12
Total number of small boxes = 20
The required fraction is


Cancel out common factor.

Therefore, the simplified form of given expression is 3/5.
Answer:
49 pi
Step-by-step explanation:
I'll assume you want to know how big the carpet is. You need to find the area of the room, which is a circle. The area of a circle is given as pi*r^2, where r is the radius. The diameter is twice the radius, so as the problem gives us a diameter of 14, the radius would be 7. Plug in 7 for r, and we get 49pi.
Answer:
$1,161.83
1.51%
Step-by-step explanation:
Continuously compounded interest is:
A = Pe^(rt)
where A is the final amount,
P is the initial amount,
r is the rate per time,
and t is time.
Given P = 1000, r = 0.015, and t = 10:
A = 1000e^(0.015 × 10)
A = 1000e^(0.15)
A = 1161.83
The effective annual yield is the annually compounded rate needed to have the same yield after the same time. For continuously compounded interest, he equation for effective annual yield is:
R = -1 + e^r
R = -1 + e^0.015
R = 0.0151
The effective annual yield is 1.51%.