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25 December, 07:54

Scarlet opened a savings account and deposited $100 as principal. The account earns 10% interest, compounded yearly. What is the balance after 9 years?

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  1. 25 December, 08:20
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    Answer: the balance after 9 years is

    $235.8

    Step-by-step explanation:

    We would apply the formula for determining compound interest which is expressed as

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

    Where

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

    r represents the interest rate.

    n represents the periodic interval at which it was compounded.

    P represents the principal or initial amount deposited

    From the information given,

    P = $100

    r = 10% = 10/100 = 0.1

    n = 1 because it was compounded once in a year.

    t = 9 years

    Therefore,.

    A = 100 (1 + 0.1/1) ^1 * 9

    A = 100 (1 + 0.1) ^9

    A = 100 (1.1) ^9

    A = $235.8
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