6. Ana Maria had $28,000 to invest. She divided the money into three different accounts. At the end of the year, she earned $1.1

Question

6.
Ana Maria had $28,000 to invest. She divided the money into three
different accounts. At the end of the year, she earned $1.160 in interest.
The annual yield on each of the three accounts was 3.5%. 4.25% and
4.75%. The amount of money in the 4.75% account was 75% of the
amount of money in the 3.5% account. Define the variables and write a
system of equations to represent the situation.

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Latifah 2 months 2021-07-22T08:29:05+00:00 1 Answers 1 views 0

Answers ( )

    0
    2021-07-22T08:30:23+00:00

    Answer:

    x + y + z = 28,000

    0.035x + 0.0425y + 0.0475z = 1160

    z = 0.75x

    Step-by-step explanation:

    Let x = amount invested at 3.5%.

    Let y = amount invested at 4.25%.

    Let z = amount invested at 4.75%.

    The total amount is $28,000.

    Equation 1:

    x + y + z = 28,000

    The total interest is $1,160.

    Equation 2:

    0.035x + 0.0425y + 0.0475z = 1160

    “The amount of money in the 4.75% account was 75% of the

    amount of money in the 3.5% account.”

    Equation 3:

    z = 0.75x

    The system of equations is:

    x + y + z = 28,000

    0.035x + 0.0425y + 0.0475z = 1160

    z = 0.75x

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