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Alex Ar [27]
3 years ago
13

At a real estate​ agency, an agent sold a house for ​$323,000. The commission rate is 6.5​% for the real estate agency and the c

ommission rate for the agent is 25​% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?
Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0

Answer:

20,0995 or 80,750

hope this helps sorry if im wrong

Step-by-step explanation:

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Simplify u^2+3u/u^2-9<br> A.u/u-3, =/ -3, and u=/3<br> B. u/u-3, u=/-3
VashaNatasha [74]
  The correct answer is:  Answer choice:  [A]:
__________________________________________________________
→  "\frac{u}{u-3} " ;  " { u \neq ± 3 } " ; 

          →  or, write as:  " u / (u − 3) " ;  {" u ≠ 3 "}  AND:  {" u ≠ -3 "} ; 
__________________________________________________________
Explanation:
__________________________________________________________
 We are asked to simplify:
  
  \frac{(u^2+3u)}{(u^2-9)} ;  


Note that the "numerator" —which is:  "(u² + 3u)" — can be factored into:
                                                      →  " u(u + 3) " ;

And that the "denominator" —which is:  "(u² − 9)" — can be factored into:
                                                      →   "(u − 3) (u + 3)" ;
___________________________________________________________
Let us rewrite as:
___________________________________________________________

→    \frac{u(u+3)}{(u-3)(u+3)}  ;

___________________________________________________________

→  We can simplify by "canceling out" BOTH the "(u + 3)" values; in BOTH the "numerator" AND the "denominator" ;  since:

" \frac{(u+3)}{(u+3)} = 1 "  ;

→  And we have:
_________________________________________________________

→  " \frac{u}{u-3} " ;   that is:  " u / (u − 3) " ;  { u\neq 3 } .
                                                                                and:  { u\neq-3 } .

→ which is:  "Answer choice:  [A] " .
_________________________________________________________

NOTE:  The "denominator" cannot equal "0" ; since one cannot "divide by "0" ; 

and if the denominator is "(u − 3)" ;  the denominator equals "0" when "u = -3" ;  as such:

"u\neq3" ; 

→ Note:  To solve:  "u + 3 = 0" ; 

 Subtract "3" from each side of the equation; 

                       →  " u + 3 − 3 = 0 − 3 " ; 

                       → u =  -3 (when the "denominator" equals "0") ; 
 
                       → As such:  " u \neq -3 " ; 

Furthermore, consider the initial (unsimplified) given expression:

→  \frac{(u^2+3u)}{(u^2-9)} ;  

Note:  The denominator is:  "(u²  − 9)" . 

The "denominator" cannot be "0" ; because one cannot "divide" by "0" ; 

As such, solve for values of "u" when the "denominator" equals "0" ; that is:
_______________________________________________________ 

→  " u² − 9 = 0 " ; 

 →  Add "9" to each side of the equation ; 

 →  u² − 9 + 9 = 0 + 9 ; 

 →  u² = 9 ; 

Take the square root of each side of the equation; 
 to isolate "u" on one side of the equation; & to solve for ALL VALUES of "u" ; 

→ √(u²) = √9 ; 

→ | u | = 3 ; 

→  " u = 3" ; AND;  "u = -3 " ; 

We already have:  "u = -3" (a value at which the "denominator equals "0") ; 

We now have "u = 3" ; as a value at which the "denominator equals "0"); 

→ As such: " u\neq 3" ; "u \neq -3 " ;  

or, write as:  " { u \neq ± 3 } " .

_________________________________________________________
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3 years ago
Find the midpoint of the segment with the following endpoints.<br> (9,6) and (1, 2)
oksano4ka [1.4K]
5,4!

hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest if you get a chance:)
4 0
2 years ago
Triangle DEF contains right angle E. If angle D measures 40° and its adjacent side measures 7.6 units, what is the measure of si
ki77a [65]

\\ \rm\longmapsto cot40=\dfrac{7.6}{EF}

\\ \rm\longmapsto EF=\dfrac{7.6}{cot40}

\\ \rm\longmapsto EF=\dfrac{7.6}{1.1}

\\ \rm\longmapsto EF=6.909units

\\ \rm\longmapstoEF=6.91units

3 0
2 years ago
Read 2 more answers
A spinner has five congruent sections, one each of blue, green, red, orange, and yellow. Yuri spins the spinner 10 times and rec
kirill [66]
The answers are A, C, and E.
6 0
3 years ago
Read 2 more answers
I tried, but can't get any further
san4es73 [151]

The next step would be to recognize your expression as a difference of squares:

64z^2-1=(8z)^2-1^2

We have a neat rule for factorization of a difference of squares:

a^2-b^2=(a-b)(a+b)

So you would have

64z^2-1=(8z-1)(8z+1)

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