Answer:
A=27/4 B=2.25
Step-by-step explanation:
4 and 1/2 also equals 18/4.
18/4+1/2(18/4)=18/4+9/4
18+9=27
Answer is 27/4
B)=4.5/2=2.25
Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder = 
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
<em>Using the volume formula of a cylinder</em>
The formula goes thus

Substitute 21 for V; this gives

Divide both sides by h


The next step is to solve for the volume of the sphere using the following formula;

Divide both sides by r

Expand Expression

Substitute 



Multiply both sided by r

------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
, where D represents diameter of the sphere
Recall that 
So, 

Substitute 2r for h in equation 1



Hence, the volume of the sphere is 14m³
Answer:
21 months
Step-by-step explanation:
1 month: $25.00 2 month: $50.00 3 month: $75.00 4 month: $100.00 5 month: $125.00 6 month: $150.00 7 month: $175.00 8 month: $200.00 9 month: $225.00 10 month: $250.00 11 month: $275.00 12 month: $300.00 13 month: $325.00 14 month: $350.00 15 month: $375.00 16 month: $400.00 17 month: $425.00 18 month: $450.00 19 month: $475.00 20 month: $500.00 21 month: $525.00
By the 21st month, Sam would have paid $525 making the flat fee a better choice.
Answer:
log8 (2.718) = 0.48
Step-by-step explanation:
In 2.718 ÷ In 8 = 0.999896 ÷ 2.07944
= 0.4808