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18 May, 08:36

The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which is the best estimate of the value of the account 12 years after it was opened?

$8,910

$8,980

$13,660

$16,040

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Answers (1)
  1. 18 May, 08:45
    0
    Table: Account Value Over Time

    Years after opening account Account Value

    0 5,000

    2 5,510

    5 6,390

    8 7,390

    10 8,150

    (5510 - 5000) / 5000 = 0.102

    0.102 / 2yrs = 0.051

    1 + 0.05 = 1.05

    5,000 * (1.05) ^t

    t = 12 years

    5,000 * 1.05^12 = 5,000 * 1.7959 = 8,979.50 or 8,980

    The best estimate of the value of the account 12 years after it was opened is 8,980.
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