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23 March, 08:10

Brian invests £600 into his bank account. He receives 3.2% per year compound interest. How much will Brian have after 6 years? Give your answer to the nearest penny where appropriate.

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  1. 23 March, 08:39
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    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 = £600

    r = 3.2% = 3.2/100 = 0.32

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

    t = 6 years

    Therefore,.

    A = 600 (1 + 0.032/1) ^1 * 6

    A = 600 (1.032) ^6

    A = £724.82
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