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)
= 
There is 350 boys the the ratio is 2 (or 2 1/2) boys for every 1 girl
11.
V=pir^2h
V=pi*(5x+2)*(2x+8)
Distribute
(pi*5x*pi*2)(2x+8)
Apply the foil method (a+b)(c+d)=ac+ad+bc+bd
10pix^2+40pix+4pix+16x
Simplify
10pix^2+44pix+16pi
12.
S=4pir^2
S=4pi(3x+2)^2
Use square of sum (a+b)^2=a^2+2ab+b^2
4pi((3x)^2+2*3x*2+2^2)
2. Use multiplication distributive property (xy)^a=x^ay^a
4pi(3^2x^2+2*3x*2+2^2)
Simplify 3^2 to 9
4pi(9x^2+2*3x*2+2^2)
Simplify 2^2 to 4
4pi(9x^2+2*3x*2+4)
Simplify 2*3x*2 to 12x
4pi(9x^2+12x+4)
Distribute
36pix^2+48pix+16pi
Have a nice day :D
Answer:
$7.80
Step-by-step explanation:
Tjar originally costs $12.00. It is marked 35% off. This means of the original price, you pay 65% of it since 100%-35%=65%.
To find the sale price, multiply the original price by 65%. In order to do that you must convert the percent to a decimal first.
65% becomes 0.65
We multiply 12(0.65)=7.8.
The sale price is $7.80
It would be C:11, for every book case requires 1/2 a gallon so when you divide 5 1/2 / 1/2, you get 11 gallons in total