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3 December, 16:59

1. Maria invested $10,000 in the stock market. Unfortunately, the value of her investment has been dropping at an average rate of 3% each year.

a. Write the function that best models the situation.

b. If the trend continues, how much will her investment be worth in 5 years?

c. Given the situation, what should she do with her investment?

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Answers (2)
  1. 3 December, 17:06
    0
    a) L = $10,000 (0.03) T

    b) Investment worth in 5 years = $8,500

    c) I advise she withdraws her investment and wait until the market improves before she reinvests.

    Step-by-step explanation:

    a) Recall the formula for calculating simple interest is given as

    I = PRT

    But in this case, interest was not made. Loss was made rather. Thus,

    L = PRT

    P = $10,000

    R = 3% = 0.03

    T = T

    Hence, the function that best model the situation will be;

    L = $10,000 (0.03) T

    b) Using the formula for simple interest given as

    I = PRT

    where,

    P = principal = $10,000

    R = rate = 3% = 0.03

    T = time = 5 years

    We have to first calculate the amount lost in 5 years.

    By substitution, we've

    I = $10,000*0.03*5

    I = $1,500

    Since her initial amount was $10,000; what we have to do now is subtract the amount she has lost from the initial amount.

    That is,

    $10,000 - $1,500 = $8,500

    Hence, her investment will worth $8,500.

    c) I advise she withdraws her investment for the moment and then wait for the stock market to improve before she reinvests.
  2. 3 December, 17:14
    0
    Answer:Her investment would be $8586 in year 5.

    Step-by-step explanation:

    10000 * 0.03 = $300.

    10,000 - 300 = $9700

    Year 2.

    9700*0.03 = $291

    9700-391 = $9409

    Year 3.

    9409*0.03=$282.27

    9409-282.27 = $9126.74

    Year 4.

    9126.74 * 0.03 = $273.8

    9126.74 - 273.8 = $8852.

    Year 5.

    8852 * 0.03 = $265.56

    8852 - 265.56 = $8586

    C) She should pull off this investment and invest in a more productive company and ensure she diversifies her investment by investing in different companies.
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