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16 March, 10:11

Jamie received a bonus of $3,000. She decided to deposit the money in a savings account that earns 3.5% compounded daily for 180 days. Find the compound amount after 180 days

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  1. 16 March, 12:44
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    The compound amount recieved by Jamie after 180 days is $1,466,844.98

    Explanation:

    We know that money in any sort of banking account earns interests in a compounding manner.

    Amount at the end of time "x" is given by A = P (1+R/100) ˣ

    Where A = amount after the said time period

    P = Principal

    R = Rate

    x = time period

    One must note that "x" and "R" must be in same time-frame i. e. if the rate is compounded daily, time period must be considered daily and so on.

    Substituting the values of P as $ 3000, R as 3.5%, and x as 180

    Amount after 180 days = 3000 (1+3.5/100) ¹⁸⁰

    Amount = $1,466,844.98

    Thus, the amount is $1,466,844.98
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