几道数学题，请人指点

hippocrene

1) Over the last three years a scientist had an average(arithmetic mean)yearly income of $45000. The scientist earned 3/2 times as much the second year as the first year and 5/2times as much the third year as the first year. What was the scientist's income the second year?
A9000
B13500
C27000
D40500
E45000
(D)

2) The number of diagonals of a polygon of n Sides is given by the formula d=n(n-3). If a polygon has twice as many diagonals as sides, how many sides does it have?
A:3
B:5
C:6
D:7
E:8

3) If taxi fares were $1.00 for the first 1/5mile and $0.20 for each 1/5 mile thereafter, then the taxi fare for a 3-mile ride was
A1.56
B2.40
C3.80
D4,20

4) The average(arithmetic mean)of 3 different positive, integers is 100 and the largest of these 3 integers is 120, what is the least possible value of the smallest of these 3 integers?
A:1
B:10
C:61
D:71
E:80

5) If xyz≠0, and x percent of y percent of z is t, then z=
A100t)/(xy)
B1000t)/(xy)
C10000t)/(xy)
Dxy)/(10000t)
E10000xy)/t

6) Week          Number of Tickets Sold
    1                 1,000,000 
    2                 1,000,000
    3                  750,000   
    4                  250,000

 The table above shows the number of tickets sold during each of the first 4 weeks after a movie was released. The producer of the movie received 10 percent of the revenue from every ticket sold with a guaranteed minimum of $200,000 per week for the first 4 weeks. If tickets sold for $4 each, how much did the producer receive for the first 4 weeks?
A)$800,000
B)$900,000
C)$1,000,000
D)$1,200,000
E)$1,300,000

7) If tank X contains only gasoline, how many kiloliters of gasoline are in tank X?
of its capacity.
(1) If 1/2 of the gasoline in tank X were pumped out the tank would be filled to 1/3 of its capacity.
(2) If 0.75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.

8) In a retail store, the average (arithmetic mean) sale for month M was d dollars. Was the average (arithmetic mean) sale for month J at least 20 percent higher than that for month M?
(1)For month M, total revenue from sales was $3,500.
(2)For month J, total revenue from sales was $6,000.

9) During a 3-year period, the profits of Company X changed by what percent from the second year to the third year?
(1)The increase in profits of Company X from the first year to the second year was the same as the increase from the first year to the third year.
(2)For Company X, the profits for the first year were $13.800 and the profits for the third year were $15,900.

10)An author is paid how much in royalities by a publisher in a certain year?
(1)The publisher pays her a guaranteed minimum of $10000 per year plus royalty.
(2)The author receives yearly royalty of percent on the gross sales of her book 13/2 in excess of $100000

mymengming

以下是引用hippocrene在2006-10-8 15:17:00的发言：

1) Over the last three years a scientist had an average(arithmetic mean)yearly income of $45000. The scientist earned 3/2 times as much the second year as the first year and 5/2times as much the third year as the first year. What was the scientist's income the second year?
A9000
B13500
C27000
D40500
E45000
(D)

45000*3=x+3/2*x+5/2*x

3/2*x即得 ，在网吧，没有笔

2) The number of diagonals of a polygon of n Sides is given by the formula d=n(n-3). If a polygon has twice as many diagonals as sides, how many sides does it have?
A:3
B:5
C:6
D:7
E:8

n(n-3)=2n

n=5

3) If taxi fares were $1.00 for the first 1/5mile and $0.20 for each 1/5 mile thereafter, then the taxi fare for a 3-mile ride was
A1.56
B2.40
C3.80
D4,20

1+0.2*(3-1/5)/(1/5)=******

4) The average(arithmetic mean)of 3 different positive, integers is 100 and the largest of these 3 integers is 120, what is the least possible value of the smallest of these 3 integers?
A:1
B:10
C:61
D:71
E:80

(100*3-120)/2

5) If xyz≠0, and x percent of y percent of z is t, then z=
A100t)/(xy)
B1000t)/(xy)
C10000t)/(xy)
Dxy)/(10000t)
E10000xy)/t

x%*(y%*z)=t

6) Week          Number of Tickets Sold
    1                 1,000,000 
    2                 1,000,000
    3                  750,000   
    4                  250,000

 The table above shows the number of tickets sold during each of the first 4 weeks after a movie was released. The producer of the movie received 10 percent of the revenue from every ticket sold with a guaranteed minimum of $200,000 per week for the first 4 weeks. If tickets sold for $4 each, how much did the producer receive for the first 4 weeks?
A)$800,000
B)$900,000
C)$1,000,000
D)$1,200,000
E)$1,300,000

250000*4*10%=100000<200000,第四周德到200000，其他几周都是n*4*10%

（1000000+1000000+750000）*4*10%+200000

7) If tank X contains only gasoline, how many kiloliters of gasoline are in tank X?
of its capacity.
(1) If 1/2 of the gasoline in tank X were pumped out the tank would be filled to 1/3 of its capacity.
(2) If 0.75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.

不知道问的是比例还是重量 、

（1）可以得出比例

（2）什么也得不出

两个家在一起可以得出重量

8) In a retail store, the average (arithmetic mean) sale for month M was d dollars. Was the average (arithmetic mean) sale for month J at least 20 percent higher than that for month M?
(1)For month M, total revenue from sales was $3,500.
(2)For month J, total revenue from sales was $6,000.

3500/28=*

6000/31=**

如果**/*〉=1.2选 c，<=选E

9) During a 3-year period, the profits of Company X changed by what percent from the second year to the third year?
(1)The increase in profits of Company X from the first year to the second year was the same as the increase from the first year to the third year.
(2)For Company X, the profits for the first year were $13.800 and the profits for the third year were $15,900.

(P3-P2)/P2

所以选C

10)An author is paid how much in royalities by a publisher in a certain year?
(1)The publisher pays her a guaranteed minimum of $10000 per year plus royalty.
(2)The author receives yearly royalty of percent on the gross sales of her book 13/2 in excess of $100000

选E

请标明出处

loveOB

以下是引用hippocrene在2006-10-8 15:17:00的发言：

1) Over the last three years a scientist had an average(arithmetic mean)yearly income of $45000. The scientist earned 3/2 times as much the second year as the first year and 5/2times as much the third year as the first year. What was the scientist's income the second year?
A9000
B13500
C27000
D40500
E45000
(D)

2) The number of diagonals of a polygon of n Sides is given by the formula d=n(n-3). If a polygon has twice as many diagonals as sides, how many sides does it have?
A:3
B:5
C:6
D:7
E:8
(B)

3) If taxi fares were $1.00 for the first 1/5mile and $0.20 for each 1/5 mile thereafter, then the taxi fare for a 3-mile ride was
A1.56
B2.40
C3.80
D4,20
(C)

4) The average(arithmetic mean)of 3 different positive, integers is 100 and the largest of these 3 integers is 120, what is the least possible value of the smallest of these 3 integers?
A:1
B:10
C:61
D:71
E:80
(A)

5) If xyz≠0, and x percent of y percent of z is t, then z=
A100t)/(xy)
B1000t)/(xy)
C10000t)/(xy)
Dxy)/(10000t)
E10000xy)/t
(C)

6) Week          Number of Tickets Sold
    1                 1,000,000 
    2                 1,000,000
    3                  750,000   
    4                  250,000

 The table above shows the number of tickets sold during each of the first 4 weeks after a movie was released. The producer of the movie received 10 percent of the revenue from every ticket sold with a guaranteed minimum of $200,000 per week for the first 4 weeks. If tickets sold for $4 each, how much did the producer receive for the first 4 weeks?
A)$800,000
B)$900,000
C)$1,000,000
D)$1,200,000
E)$1,300,000
(E)

7) If tank X contains only gasoline, how many kiloliters of gasoline are in tank X?
of its capacity.
(1) If 1/2 of the gasoline in tank X were pumped out the tank would be filled to 1/3 of its capacity.
(2) If 0.75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.
(C) 不太确定题目求的是什么，如果是总容量，觉得选C

8) In a retail store, the average (arithmetic mean) sale for month M was d dollars. Was the average (arithmetic mean) sale for month J at least 20 percent higher than that for month M?
(1)For month M, total revenue from sales was $3,500.
(2)For month J, total revenue from sales was $6,000.
(C)

9) During a 3-year period, the profits of Company X changed by what percent from the second year to the third year?
(1)The increase in profits of Company X from the first year to the second year was the same as the increase from the first year to the third year.
(2)For Company X, the profits for the first year were $13.800 and the profits for the third year were $15,900.
(A) 第二年比第一年的Profit增长=第三年比第三年的Profit增长，是不是代表第二年到第三年change为0？

10)An author is paid how much in royalities by a publisher in a certain year?
(1)The publisher pays her a guaranteed minimum of $10000 per year plus royalty.
(2)The author receives yearly royalty of percent on the gross sales of her book 13/2 in excess of $100000
(E)