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17 May, 12:04

Scott currently has an account balance of $2,147.39. He opened the account five years ago with a deposit of $1,852.10. If the interest compounds monthly, what is the interest rate on the account?

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  1. 17 May, 15:12
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    A=2265.41$

    This can be solved using compound interest formula

    A=p (1+rn) nt

    p = principle interest

    r = annual interest

    n = number of times interest is compounded per year

    t = number of years the amount is deposited or borrowed for

    A = Amount after n years including balance

    Here,

    p = 2000

    r = 2.5 / 100 = 0.025

    n = 4

    t = 5

    so,

    A=2000 (1+0.0254) 4⋅5

    A=2000 (1.00625) 20

    A=2000 (1.1327)

    A=2265.41$
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