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Question

Juan purchased an antique that had a value of straight $ 200  at the time of purchase. Each year, the value of the antique is estimated to increase 10 straight percent sign  over its value the previous year. The estimated value of the antique, in dollars, 2 years after purchase can be represented by the expression 200a,where a is a constant what is the value of a?

hintHint:

Hint:
  • Here we first make general equation and then find the answer

The correct answer is: a = 1.21.


    Explanation:
      • We have given an antique that had a value of straight $ 200  at the time of purchase. Each year, the value of the antique is estimated to increase10 straight percent sign  over its value the previous year. The estimated value of the antique, in dollars, 2 years after purchase can be represented by the expression200 a
    We have to find the value of
    Step 1 of 1:
    The initial price of the antiques wasstraight $ 200
    Since the value increases exponentially each year by or10 straight percent sign text  or  end text 1.10
    In t years the initial value,  increased bystraight $ 200
    left parenthesis 200 right parenthesis left parenthesis 1.10 right parenthesis to the power of t
    When t=2
    left parenthesis 200 right parenthesis left parenthesis 1.10 right parenthesis squared equals 200 a
    left parenthesis 200 right parenthesis left parenthesis 1.21 right parenthesis equals 200 a
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a equals fraction numerator left parenthesis 200 right parenthesis left parenthesis 1.21 right parenthesis over denominator 200 end fraction end cell row cell equals 1.21 end cell end table
    Final answer:
    The value of .a =1.21

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