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10 February, 02:25

harry invests £6000 in a savings account. the account pays 3.4% compound interest per year. work out the value of his investment per year. work out the value of his investment after 3 years. give your answer to the nearst penny.

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  1. 10 February, 06:21
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    Invested amount (P0 = £6000.

    Rate of interest (r) = 3.4% = 0.034.

    We know compound interest formula

    A = P (1+r) ^t

    We need work out the value of his investment per year.

    So, we need to plug t=1 and plugging values of P and r in the formula above, we get

    A = 6000 (1+0.034) ^1

    A = 6000 (1.034)

    A = 6204.

    Therefore, the value of his investment per year is £ 6204.

    Now, we need to work out the value of his investment after 3 years.

    So, we need to plug t=3.

    A = 6000 (1+0.034) ^3

    A = 6000 (1.034) ^3

    1.034^3=1.105507304

    A = 6000 * 1.105507304

    A = 6633.04

    Therefore, the value of his investment after 3 year is £ 6633.04.
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