Answer:

Step-by-step explanation:
The area of a rectangle is equal to
, where
is the length of the rectangle and
is the width of the rectangle. In a rectangle, opposite sides are equal.
Therefore, we can write the following system of equations:

Expand the first equation:

Substitute the second equation into the first (
):

Solving for
:

To find the volume of the cylinder we multiply the area of the face by the height of the cylinder. Area pi*r^2
First find area
768in^3/3in = 256in^2
Pi*r^2 = 256
r^2 = 256 / pi
radius = root of 256/pi
Hence radius = 9.027033337 in
To check answer
Pi*9.027033337^2 * 3in = 768in^3
Finalized answer to 2 d.p
Radius = 9.03 in
Answer:
the future value is $47,371.74
Step-by-step explanation:
Given that
The borrowed amount is $24,000
The rate of interest is 12% per annum
The time period is of 6 years
We need to find out the payment made i.e. future value
So as we know that
Future value = Present value × (1 + rate of interest)^no of years
= $24,000 × (1 + 0.12)^6
= $24,000 × 1.12^6
= $47,371.74
Hence, the future value is $47,371.74
Answer:

Step By Step Explanation:
Expand 

Expand 

Simplify 

The denominator of 4 and 6 is ... (LCM) = 24
4,8,12,16,20,24
6,12,18,24