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Samabi invests N$ 10 000 at 5% simple interest per year. Calculate the interest earned after 3 years.

Mathematics

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here are the solutions to the problems:

17. Calculate the interest earned after 3 years.

  1. Identify the given values.

    Principal (PP) = N10 000 10\,000
    Rate (RR) = 5%=0.055\% = 0.05
    Time (TT) = 3 years

  2. Use the simple interest formula

    I=P×R×TI = P \times R \times T.

    I=10 000×0.05×3I = 10\,000 \times 0.05 \times 3
  3. Calculate the interest.

    I=500×3I = 500 \times 3 I=1 500I = 1\,500

    The interest earned after 3 years is \boxed{\text{N\ } 1,500}$.

    18. Calculate the perimeter of the shape.

  4. Identify the lengths of the sides of the quadrilateral.

    The arrows indicate that opposite sides are equal in length.
    Side AB = 5 cm5 \text{ cm}
    Side BC = 4 cm4 \text{ cm}
    Side CD = 5 cm5 \text{ cm} (opposite to AB)
    Side DA = 4 cm4 \text{ cm} (opposite to BC)

  5. Calculate the perimeter by summing the lengths of all sides.

    Perimeter=AB+BC+CD+DA\text{Perimeter} = AB + BC + CD + DA Perimeter=5 cm+4 cm+5 cm+4 cm\text{Perimeter} = 5 \text{ cm} + 4 \text{ cm} + 5 \text{ cm} + 4 \text{ cm}
  6. Add the lengths.

    Perimeter=18 cm\text{Perimeter} = 18 \text{ cm}

    The perimeter of the shape is 18 cm\boxed{18 \text{ cm}}.

    19. Calculate the area of the triangle.

  7. Identify the base and height of the right-angled triangle.

    Base (bb) = 4 cm4 \text{ cm}
    Height (hh) = 3 cm3 \text{ cm}

  8. Use the formula for the area of a triangle

    Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}.

    Area=12×4 cm×3 cm\text{Area} = \frac{1}{2} \times 4 \text{ cm} \times 3 \text{ cm}
  9. Calculate the area.

    Area=2 cm×3 cm\text{Area} = 2 \text{ cm} \times 3 \text{ cm} Area=6 cm2\text{Area} = 6 \text{ cm}^{2}

    The area of the triangle is 6 cm2\boxed{6 \text{ cm}^{2}}.

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