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boy 發問於 科學及數學數學 · 6 年前

F3 Math Chanllenge Problems

In Q.1 and 2 , suppose the tax rate for rates is 5% each year.

1) Mr Fung earns $18000 a month. Th e rateable value of his flat is equal to 60% of his annual income. How much should Mr Fung pay for the annual rates of hs flat?

2) Last year, the annual rates payable for a flat were $5500. If the rateable value of this flat increases by 8% in this year, find the new quarterly rates payable by the owner.

3) A deposit of $5000 in a bank gives a simple interest of $500 in 2 years. The amount received is then deposited in another bank at the same interest rate, but interest is compounded half-yearly. what will be the total amount received 2 more years later correct to the nearest dollar?

NEED STEPS, PLZ!!!

1 個解答

評分
  • 土扁
    Lv 7
    6 年前
    最愛解答

    1)

    The annual income

    = $18000 × 12

    = $216000

    The rateable value

    = $216000 × 60%

    = $129600

    The amount of the annual rates

    = $129600 × 5%

    = $6480

    ====

    2)

    The new quarterly rates

    = $5500 × (1 + 8%) ÷ 4

    = $1485

    ====

    3)

    Annual rate

    = [(500 ÷ 2)/5000] × 100%

    = 5%

    Total amount received

    = $(5000 + 500) × [1 + (5%/2)]⁴

    = $5500 × 1.025⁴

    = $6071(to the nearest dollar)

    資料來源: 土扁
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