Answer:

Step-by-step explanation:
We want to simplify;

We expand the bracket to obtain;

We now group the like terms to obtain;

We now simplify to get;

The correct answer is C
 
        
                    
             
        
        
        
Answer:
3 miles per hour
Step-by-step explanation:
 
        
             
        
        
        
Answer:  the correct option is
(D) The imaginary part is zero.
Step-by-step explanation:  Given that neither a nor b are  equal to zero.
We are to select the correct statement that accurately describes the following product :

We will be using the following formula :

From product (i), we get
![P\\\\=(a+bi)(a-bi)\\\\=a^2-(bi)^2\\\\=a^2-b^2i^2\\\\=a^2-b^2\times (-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }i^2=-1]\\\\=a^2+b^2.](https://tex.z-dn.net/?f=P%5C%5C%5C%5C%3D%28a%2Bbi%29%28a-bi%29%5C%5C%5C%5C%3Da%5E2-%28bi%29%5E2%5C%5C%5C%5C%3Da%5E2-b%5E2i%5E2%5C%5C%5C%5C%3Da%5E2-b%5E2%5Ctimes%20%28-1%29~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%5B%5Ctextup%7Bsince%20%7Di%5E2%3D-1%5D%5C%5C%5C%5C%3Da%5E2%2Bb%5E2.)
So, there is no imaginary part in the given product. 
Thus, the correct option is
(D) The imaginary part is zero.
 
        
             
        
        
        
Since  represents the number of years passed since 2005, in 2005 we have
 represents the number of years passed since 2005, in 2005 we have  , and in 2015 we have
, and in 2015 we have  . Let
. Let  represent the profits of Jones and Davis, respectively, at year y.
 represent the profits of Jones and Davis, respectively, at year y.
We have


Choosing the best company somehow depends on how much time you can wait: Jones start with a higher value (10 vs 8), but it has a descending trend, because the multiplicative factor  goes to zero as t grows.
 goes to zero as t grows.
On the other hand, Davis starts with a smaller value, but  tends to infinity as t grows.
 tends to infinity as t grows.
So, if you need an immediate result, the most valuable company is Jones, otherwise you're certain can Davis will eventually become bigger.
More precisely, we have

So, after 11 years, Davis will overcome Jones.
 
        
             
        
        
        
Answer:
20 is my answer and the question is somehow confusing