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17 July, 17:22

Investments Suppose that you have $4000 to invest and you invest x dollars at 10% and the remainder at 896, write expressions in x that represent (a) the amount invested at 8%, (b) the interest earned on the x dollars at 10%, (c) the interest earned on the money invested at 8% (d) the total interest earned.

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  1. 17 July, 17:34
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    Step-by-step explanation:

    you have $4000 to invest and you invest x dollars at 10% and the remainder at 8℅.

    a) an expression in x that represent the amount invested at 8% is

    4000 - x

    b) The The formula for simple interest is expressed as

    I = PRT/100

    Where

    P represents the principal

    R represents interest rate

    T represents time in years

    I = interest after t years

    From the information given

    P = $x

    R = 10%

    Assuming the investment is for 1 year, then interest,

    I = (x * 10 * 1) / 100

    I = $0.1x

    c) P = 4000 - x

    R = 8℅

    I = [ (4000 - x) * 8 * 1) ]/100

    I = (32000 - 8x) / 100

    I = 320 - 0.08x

    d) the total interest earned is

    I = 0.1x + 320 - 0.08x

    I = 0.02x + 320
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