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Anew shopping mall is gaining in popularity. every day since it opened, the number of shoppers is 20%, percent more than the number of shoppers the day before. the total number of shoppers over the first 4 days is 671

Answers

  • Réponse publiée par: pauyonlor

    There were 125 shoppers on the first day.

    Step-by-step explanation:

    Let us call the number of shoppers on the first day a_1, then on the nth day the number of shoppers a_n is

    a_n = a_1 (1.20)^{n-1}

    which is a geometric series whose sum to the nth term is

    $\sum_{n=0}^{n-1} a_1(r^n) = a_1\dfrac{1-r^n}{1-r} $

    Now, we know that the total number of shoppers over the first 4 days is 671; therefore,

    a_1\dfrac{1-r^n}{1-r^n}  = 671 $

    a_1\dfrac{1-(1.2)^4}{1-(1.2)}  = 671 $

    a_1(5.368) = 671 $

    a_1 = \dfrac{671}{5.368}

    \boxed{a_1 = 125 \;people. }

    Thus, there were 125 shoppers on the first day.

  • Réponse publiée par: stacy05
    270 i hope it
  • Réponse publiée par: enrica11

    an=a1 (r) n-1


    a6= 1 (2) 6-1

    a6=1 (2)5

    a6=1(32)

    a6= 32


    the answer is 32

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Anew shopping mall is gaining in popularity. every day since it opened, the number of shoppers is 20...