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16 May, 11:43

Jessica opened a bank account that earns 2 percent interest compounded annually. Her initial deposit was $100, and she uses the expression $100 (x) ^t to find the value for the account after t years.

what is the value of x in the expression?

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  1. 16 May, 11:50
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    x = 1.02.

    Step-by-step explanation:

    The x is a factor worked out from the annual interest written as a decimal fraction.

    So we have 2% = 2/100 = 0.02.

    The amount at the end of the first year is $100 + 0.02*100

    = $100 * 1.02, and in the second year it will be $100 * 1.02^t where t = 2 and so on.

    So we see that x in the given expression is 1.02.
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