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6 July, 08:49

The value of a collector's item is expected to increase exponentially each year. The item is purchased for $500. After 2 years, the item is worth $551.25. Which equation represents y, the value of the item after x years?

y = 500 (0.05) x

y = 500 (1.05) x

y = 500 (0.1025) x

y = 500 (1.1025) x

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  1. 6 July, 10:40
    0
    Y = 500 (1 + r) ^x; where r is the rate and x is the number of years.

    500 (1 + r) ^2 = 551.25

    (1 + r) ^2 = 551.25/500 = 1.1025

    1 + r = sqrt (1.1025) = 1.05

    Therefore, the equation that represents y, the value of the item after x years is

    y = 500 (1.05) ^x
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