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5 July, 18:54

Aliyah earned a $6,000 bonus from her sales job for exceeding her sales goals. after paying taxes at a 30% rate, she invested the remaining money in two stocks. one stock returned the equivalent of 10% simple interest after 1 yr, and the other returned 4% at the end of 1 yr. if her investments returned $240.00 (excluding commissions) how much did she invest in each stock

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  1. 5 July, 19:01
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    Aliyah Earned Bonus of $ 6000

    30% of $ 6000 = $ 1800

    Therefore remaining amount after paying tax = $ (6000 - 1800)

    = $ 4200

    Hence, She invested total amount of $ 4200 in two stocks say, x and y

    let x - stock that returned 10 % after 1 year

    and y - stock that returned 4 % after 1 year

    x + y = 4200 equation 1

    &, (x * 1 * 10) / (100) = 0.1 x

    , (y*1*4) / (100) = 0.04 y

    Now, from given conditions,

    0.1 x + 0.04 y = 240 equation 2

    by solving equation 1 and 2 simultaneously we get x and y as,

    x = $ 1200 and

    y = $ 3000
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