Question

Is answer 3 the right answer if not explain Why

Answer 1

Answer:   No.  
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        In the figure attached,  "Answer choice: # [3], which is:
 "$13,287.46 ", is INCORRECT.  The correct answer is:  
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              Answer choice #[1]:  " $2,932 .24 " .  
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             {NOT:  "Answer choice: #[3]:  "$13,287. 46 ".}.
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    Explanation: 
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    For "Number 11" (in the figure attached):
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     Given: " v(x) = (28,000)(0.78)ˣ " ;
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     To get the answer: 
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   The question asks:  "How much MORE is Glen's car worth AFTER 3 (THREE) YEARS than AFTER 4 (FOUR) YEARS"?
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   →Note well:  The car is worth MORE after THREE (3) years than after             FOUR (4) YEARS.  Does this makes sense?  Yes!  (
→ (Concept known as "devaluation"; or, "depreciation").
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     Also, look at the entire function:
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        Given:  v(x) = (28,000)(0.78)ˣ  ;
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      Since this involves a "fraction" less than one, raise to an exponent, does it make sense that "v(x)" will be a greater value when "x = 3" (i.e. "3 years") than when "x = 4" (i.e. "4 years")?  Yes!
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  So, to get our answer:
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We subtract:
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  "(28,000)(0.78)⁴ " (the lower value).
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FROM:
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  "(28,000)(0.78)³ " (the higher value).
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Let us let:  "(28,000)" = x ; 
 
and let: (0.78) = y ;
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xy³ − xy⁴ =

 xy³(1 − y) =
 
(28,000)*(0.78)³ * [(1− (0.78)] =

(28,000)*(0.474552)*(0.22) =
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$ 2923.24032 ; which corresponds with:
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Answer choice #[1]:  $2,932.24 .  
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{NOT:  "Answer choice:  #[3]:  "$13,287.46" }.
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