Answer:
Both volumes are the same
Step-by-step explanation:
Volume of cylinder = 
r = radius
h = height
Since area of the circle is given on top,
Area of a circle = 
We know the area is 12
12 = (we need to find r)
r = 
r = 1.954
Now we can find the cylinder's volume:
Volume of cylinder = 
(6)
Volume of cylinder = 72
To find the volume of the cuboid, we use
Volume of cuboid = lwh
l = length
w = width
h = height
Volume of cuboid = 6 x 4 x 3
Volume of cuboid = 72
This proves that both the volumes are the same.
By definition, supplementary angles are those whose sum is 180°
Therefore, ∠2 = 180 - ∠1
2x + 4 = 180 - 124
2x = 52
x = 26°
Answer:
substitute for v, when v = -2.9
Step-by-step explanation:
subtract 13.1 on both sides.
divide by 5.2 to isolate v
substitute for v
The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.
Step-by-step explanation:
The given is,
A single deposit amount - $ 2700
APR - 4.5%
( Compounded monthly )
Period - 7 years
Step:1
Formula to find future amount with an APR compounded monthly,
.......................(1)
Where, A - Future amount
P - Initial deposit
r - Interest rate
n - Number of compounding in a year
t - No.of years
From given,
P = $ 2700
r = 4.5%
n = 12 (∵ For monthly n becomes 12 )
t = 7 years
Equation (1) becomes,
A = $3697.52
Result:
The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.
