The rule for secants tells you
EC·ED = EB·EA
(x+4)(x+5) = (x+1)(x+12)
9x+20 = 13x+12 . . . . . . simplify, subtract x²
8 = 4x . . . . . . . . . . . . . . add -12-9x
2 = x
The value of x is 2.
Answer: 5040
Step-by-step explanation:
Given : Number of choices to make a four digit code ( 0 to 9)= 10
If repetition is not allowed , then we use Permutations to find the number of different code groups can be designed.
The number of permutations of n things , taking r at a time is given by :-

Then, the number of permutations of 10 numbers , taking 4 at a time is given by :-

Hence, the number of different code groups can be designed= 5040
Answer:
$11838.7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Simple Interest Rate Formula: 
- <em>P</em> is principle amount
- <em>r</em> is rate
- <em>t</em> is time
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>P</em> = 9500
<em>r</em> = 4.5% = 0.045
<em>t</em> = 5
<u>Step 2: Find </u><em><u>A</u></em>
- Substitute in variables [Simple Interest Rate Formula]: A = 9500(1 + 0.045)⁵
- (Parenthesis) Add: A = 9500(1.045)⁵
- Evaluate exponents: A = 9500(1.24618)
- Multiply: A = 11838.7