Suppose the tax rate for rates is 5% each year & the salaries tax rates are as follow.
On the frist $300 00 ---2%
On the second $300 00 ---6%
On the third $300 00---14%
On the remaining ---20%
1a)The rateable value of a flat is $100 000.Find the rates payable in a year.
b)Miss Chan has an annual income of $980 000 & her allowances for
tax assessment are $200 000.Find the salaries tax she shpuld pay.
2)2x-[3+(x-5)]>6
3)3(3x+4)>5(2x-1)+x
4)Peter is playing a plane inside a circular venue of radius 20m.Plane will land on anywhere inside the venue with equal chance.Find the proobability that plane lands within rge shaded circular zone of radius 10m.
5)the gold is $1000 ,the sliver is $500.The probability of getting the
gold is 0.1& the probability of getting the silver is 0.5. Find the
expected value will get.
6a)the median : 6,4,3
b)the mode:8,2,9,8,2
7)2,3,6,x,y,9,12,19 are in ascending order and the median is 6.5
find the value of x & y.
KO MATH steps
2009-01-29 6:36 am
回答 (2)
2009-01-29 10:04 am
✔ 最佳答案
1.a)
Rates payable a year
= $100000 x 5%
= $5000
b)
Taxable income
= $980000 - $200000
= $780000
= 3 x $30000 + $690000
Salaries tax
= $30000 x (2% + 6% + 14%) + $690000 x 20%
= $144600
---------------
2)
2x - [3 + (x - 5)] > 6
2x - [3 + x - 5] > 6
2x - 3 - x + 5 > 6
2x - x > 6 + 3 - 5
x > 4
---------------
3)
3(3x + 4) > 5(2x - 1) + x
9x + 12 > 10x - 5 + x
9x + 12 > 11x - 5
9x - 11x > -5 - 12
-2x > -17
2x < 17
x < 17/2
---------------
4)
Total area of the circular venue
= π(20)2 m2
= 400π m2
Area of the shaded circular zone
= π(10)2 m2
= 100π m2
P(landed in the shaded circular zone)
= (Area of the shaded circular zone)/(Total area of the circular venue)
= 100π/400π
= 1/4
---------------
5)
Expected value
= ($1000 x 0.1) + ($500 x 0.5)
= $350
---------------
6
a)
The numbers in ascending order: 3, 4, 6
Hence, the median = 4
b)
The numbers in ascending order: 2, 2, 8, 8, 9
Hence, the modes are 2 and 8.
---------------
7)
There are 8 numbers.
Median:
(the 4th number + the 5th number)/2 = 6.5
(x + y)/2 = 6.5
Since 6 ≤ x ≤ y ≤ 9
x = 6 and y = 7
=
2009-01-29 7:09 am
1a)The rateable value of a flat is $100 000.Find the rates payable in a year.
= $100000 * 5%
= $5000
b)Miss Chan has an annual income of $980 000 & her allowances for
tax assessment are $200 000.Find the salaries tax she shpuld pay.
net income = $(980000-200000) = $780000
salaries tax = $30000 * 2% + $30000 * 6% + 30000 * 14% + $(780000-30000-30000-30000) * 20%
= $30000 * (2+6+14)% + $690000 * 20%
= $30000 * 22% + $690000 * 20%
= $6600 + $138000
= $144600
2)2x-[3+(x-5)]>6
2x-3-x+5>6
2x-x>6+3-5
x>4
3)3(3x+4)>5(2x-1)+x
9x+12>10x-5+x
12+5>10x+x-9x
17>2x
2x<17
x<(17/2)
4-7唔係好識點做,所以先做1-3啦
= $100000 * 5%
= $5000
b)Miss Chan has an annual income of $980 000 & her allowances for
tax assessment are $200 000.Find the salaries tax she shpuld pay.
net income = $(980000-200000) = $780000
salaries tax = $30000 * 2% + $30000 * 6% + 30000 * 14% + $(780000-30000-30000-30000) * 20%
= $30000 * (2+6+14)% + $690000 * 20%
= $30000 * 22% + $690000 * 20%
= $6600 + $138000
= $144600
2)2x-[3+(x-5)]>6
2x-3-x+5>6
2x-x>6+3-5
x>4
3)3(3x+4)>5(2x-1)+x
9x+12>10x-5+x
12+5>10x+x-9x
17>2x
2x<17
x<(17/2)
4-7唔係好識點做,所以先做1-3啦
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