Answer:

Step-by-step explanation:

Answer:
i). 
ii).
Step-by-step explanation:
Given in the question-
Saving rate is s(t)= 3000(t+2)
We know that savings in the 1st year can be calculated as

![3000\left [ \frac{t^{2}}{2}+2t \right ]_0^1](https://tex.z-dn.net/?f=3000%5Cleft%20%5B%20%5Cfrac%7Bt%5E%7B2%7D%7D%7B2%7D%2B2t%20%5Cright%20%5D_0%5E1)
![3000\left [ \frac{1}{2}+2 \right ]](https://tex.z-dn.net/?f=3000%5Cleft%20%5B%20%5Cfrac%7B1%7D%7B2%7D%2B2%20%5Cright%20%5D)
= 
So savings in the first 5 years can be calculated as

![3000\left [ \frac{t^{2}}{2}+2t \right ]_0^5](https://tex.z-dn.net/?f=3000%5Cleft%20%5B%20%5Cfrac%7Bt%5E%7B2%7D%7D%7B2%7D%2B2t%20%5Cright%20%5D_0%5E5)
![3000\left [ \frac{25}{2}+5 \right ]](https://tex.z-dn.net/?f=3000%5Cleft%20%5B%20%5Cfrac%7B25%7D%7B2%7D%2B5%20%5Cright%20%5D)
= 
Answer:

Step-by-step explanation:
Given that,
The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.
The diameter of the sphere is 3.5 m.
The height of the cylinder is 2 m
Height of the cylinder = Height of bowl− Radius of hemisphere
= 2 - (3.5/2)
= 0.25 m
The volume of the vessel is given by :
V = volume of hemispherical bowl + volume of cylinder
So,

So, the volume of the vessel is
.
Answer:
27. <
28. <
29. =
30. =
Step-by-step explanation:
For absolute value, the value can never be negative unless a negative sign is in front of the absolute value equation. For example |-4| is positive 4 ,but -|-4| is -4. Another way is if you know what multiplying each sign is.
For the fractions, you need to change the fractions to a equal denominator. Hope this helps.