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20 July, 13:02

Ryan invests in an account that pays 1.25% compound interest annually. He uses the expression P (1+r) t to find the total value of the account after t years. What will be the total value of the account after 3 years if he invested $7,000?

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  1. 20 July, 13:49
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    Answer:the total value of the account after 3 years is $7266

    Step-by-step explanation:

    Initial amount that Ryan invested into account is $500 This means that the principal is P, so

    P = 7000

    It was compounded annually. This means that it was compounded once in a year. So

    n = 1

    The rate at which the principal was compounded is 1.25%. So

    r = 1.25/100 = 0.0125

    It was compounded for 3 years. So

    n = = 3

    The formula for compound interest is

    A = P (1+r/n) ^nt

    A = total amount in the account at the end of t years. Therefore

    A = 7000 (1+0.0125/1) ^1*3

    A = 7000 (1.0125) ^3 = $7266
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