421.75
2
_____
843.50
+
15.25
4
____
61.00
843.50
+ 61.00
_______
904.50
Answer:
The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.
Step-by-step explanation:
Given
- Total accrued Amount A = 400.00 (Let say $)
- Interest rate r = 8% = 0.08
To determine
Principle P = ?
Using the formula
P = A / (1 + rt)
substituting A = 400.00, t = 9 and r = 0.08 in the formula
P = 400 / ( 1 + (0.08 × 9))
P = $232.56
Therefore, the principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.
Answer:
9/pi or 2.865
2.25/pi or 0.716
9/25pi or 0.115
36/pi or 11.459
Step-by-step explanation:
The formula for the volume of a cone
V= 1/3pir^2h
V= volume
pi= 3.141592...
r= radius
h= height
1) 3= 1/3pi (1)^2h
9=pi(h)
h= 9/pi or 2.865
2) 3= 1/3pi (2)^2h
9=4pih
h= 9/4pi or 0.716
3) 3= 1/3pi (5)^2h
9= 25pih
h= 9/25pi or 0.115
4) 3=1/3pi (1/2)^2h
9= 1/4pih
h= 36/pi or 11/459
Answer:
Proved
Step-by-step explanation:
Given
<u>Circle C</u>
--- radius
--- center
<u>Circle E</u>
--- center
Required
Prove their similarity
Translate circle C 8 units up;
The rule is:
So, we have:
Translate circle C' 7 units right;
The rule is:
So, we have:
<em>At this point, both circles now have the same center at (4,9)</em>
The next step is to dilate circle E by 4/3
This will only affect radius and not the center of E
The rule is:
So, we have:
-- equal radii
--- equal center
<em>Proved</em>
