Answer:
Check the answers in the tables below
Step-by-step explanation:
First I will explain the steps done in each column
Column 1: Multiply 2 numbers
Column 2: Split the terms inside the bracket in such a way that adding or subtracting those numbers we get the same number.
Column 3: Using distributive property a(b+c) = (ab)+(ac)
Column 4: Solving the expression by adding or subtracting the terms
1)
Given: Data in Column 2 100(0.04+0.06)
Column 1 Column 2 Column 3 Column 4 Value
100(0.1) 100(0.04+0.06) 100.0.04+100.0.06 4+6 10
2)
Given: Data in column 3 
Column 1 Column 2 Column 3 Column 4 Value
4+2 8
3)
Given: Data in Column 4 9+12
Column 1 Column 2 Column 3 Column 4 Value
3(7) 3(3+4) 3(3)+3(4) 9+12 21
4)
Given: Data in Column 4 24-16
Column 1 Column 2 Column 3 Column 4 Value
4(2) 4(6-4) 4.6-4.4 24-16 8
The <em>complement </em>C'<em> </em>of some set C is essentially the set we get when we remove all of the elements of C from the universal set U.
Here, our universal set contains all of the numbers 1-16, and the set C contains all of the odd numbers between 1 and 16. If we were to put both of these sets in roster form:

If we remove all of the elements of C from the universal set U, we're left with the complement of C, which contains all of the <em>even numbers </em>between 1 and 16:

Answer:
Step-by-step explanation:
a ) The worth of Jean-Claude's gnome after 1 year
= 80000 x 1.02
= £81600
b ) common ratio of geometric progression
= 81600 / 80000
= 1.02
c ) worth after 10 years
= 80000 x 1.02¹⁰
= 80000 x 1.21899
= £97519.55
d )
120000 = 80000 x
1.5 = 
ln1.5 = k ln 1.02
k = ln 1.5 / ln 1.02
= .4054 / .0198
= 20.47 years .
30x-15
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).
Use the following distance formula:
<em />
<em> </em>

Let:
Point B(2 , -5) = (x₁ , y₁)
Point A(-4 , 5) = (x₂ , y₂)
Plug in the corresponding numbers to the corresponding variables.

Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.

Simplify:
![d = \sqrt{136} = \sqrt{2 * 2 * 2 * 17} = \sqrt[2]{17 * 2} = \sqrt[2]{34}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B136%7D%20%3D%20%5Csqrt%7B2%20%2A%202%20%2A%202%20%2A%2017%7D%20%20%3D%20%5Csqrt%5B2%5D%7B17%20%2A%202%7D%20%3D%20%5Csqrt%5B2%5D%7B34%7D)
is your answer.
~