(1) A man invests $1 000 000 in a fund. The value of the investment grows by 5% each month.
(a) What is the value investment after the first month?
(b) What is the value of the investment after four months?
(c) In the fifth month, the investment loses 20% of its value. Does the man gain or lose over a five-month period? What is the percentage gain or loss?
(2) The three interior angles of a triangle are 2x,3x and 4x respectively. What is the largest interior angle of the triangle?
S1-S2 math...
2007-08-01 12:29 am
回答 (2)
2007-08-01 12:52 am
✔ 最佳答案
(1) (a) Value of investment after first month = $1,000,000*(1+5%) = $1,050,000(b) Value of investment after 4 months = $1,000,000*(1+5%)*(1+5%)*(1+5%)*(1+5%)
= $1,215,506.25
(c) In fifth month, the man left = $1,215,506.25*(1-20%) = $972,405
Percentage loss = 1 - 972,405/1,000,000*100% = 2.7595%
(2) 2x+3x+4x=180
9x=180
x=20
Largest interior angle = 4*20 = 80
2007-08-01 12:53 am
Ans:
(1)(a) $1000 000 x (100+5)%
=$1000 000 x 105%
=$1050000
(b) $1000 000 x (105%)(105%)(105%)(105%)
=$1215506.25
(c) $1215506.25 x (100-20)%
=$972405
$972405<$1000 000
so the man lose.
the percentage loss: $ (1000 000-972405)/1000 000 x100%
=2.7595%
(2) 2x +3x + 4x=180 (angle sum of triangle)
x=20
so the largest interior angle is 4x20 (4x)
=80 degree
(1)(a) $1000 000 x (100+5)%
=$1000 000 x 105%
=$1050000
(b) $1000 000 x (105%)(105%)(105%)(105%)
=$1215506.25
(c) $1215506.25 x (100-20)%
=$972405
$972405<$1000 000
so the man lose.
the percentage loss: $ (1000 000-972405)/1000 000 x100%
=2.7595%
(2) 2x +3x + 4x=180 (angle sum of triangle)
x=20
so the largest interior angle is 4x20 (4x)
=80 degree
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