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10 December, 01:22

The value of savings account can be modeled by the function S (x) = 5, 000 * (1.025) ^ (0.7x) x is the number of years 1980. What is the approximate growth rate of the savings account?

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  1. 10 December, 02:10
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    The approximate growth rate of the savings account is 2.5%

    Step-by-step explanation:

    Given the the function S (x) = 5, 000 * (1.025) ^ (0.7x)

    From the function, we can see that part: (1.025). It presents for the growth factor or rate with the formula as:

    (1 + r) where r is rate

    So we have:

    (1 + r) = 1.025

    r = 1.025 - 1

    r = 0.025

    In pecentage, we have the rare: 0.025 * 100% = 2.5%

    So the approximate growth rate of the savings account is 2.5%
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