AQR spring exam review

PART 1 AQR spring exam review
1 The amount of money, A, accrued at the end of n
years when a certain amount, P, is invested at a
compound annual rate, r, is given by
If a person invests $200 in an account that pays 8%
interest compounded annually, find the balance
after 15 years.
A
B
C
D
7
$634
$1,349,328
$1800
$27,000
Determine whether the function represents
exponential growth or exponential decay. Identify
the percent rate of change.
Which graph represents the following:
8 OMIT
2
9
Write a linear function f with the values
.
3
10 Write an equation of the line that passes through the
given point and is parallel to the given line.
(–
6, 6); y = 4x + 2
4 You enjoy reading in your free time and keep every
book you have ever read. When you were five, you
read 3 books and every year after you tripled the
number of books you read. How many books did
you have in your bookcase when you were 10 years
old?
5 What is the 10th term in the sequence:
1 1 3 2
, ,
, , ...
10 5 10 5
Write the first six terms of the sequence
(starting at n=1).
6
11
A health club is offering special rates for new
members for the first 3 months. The health club
charges $45 for the first month, and $40 for each
additional month. Write and graph a step function
that represents the number of months x and the total
cost of membership. (see next page for answer
choices)
A
D
y
200
y
250
150
Total Cost (dollars)
Total Cost (dollars)
250
100
50
1
2
3
4
Number of Months
x
200
150
100
50
B
1
2
3
4
Number of Months
12 A basketball player has a Free Throw average of
79%. If this player goes to the line 100 times
during the season in a 1-and-1 situation, how many
points would he be expected to have scored? (only
for 1-and1 situations)
y
Total Cost (dollars)
250
200
150
A
100
B
50
C
D
1
2
3
4
Number of Months
x
C
y
250
Total Cost (dollars)
x
200
13 A racing car is valued at $300,000. An
actuary estimates the probability of it
becoming a total loss at .002, the
probability of a 50% loss at .01, and the
probability of a 25% loss at .1. What
annual premium should the Allcountry
Insurance Company charge to insure this
car if it wants to make an annual PROFIT
of $1,000?
150
A
B
100
C
D
50
14
1
2
3
4
Number of Months
x
141
138
96
112
$10,600
$11,600
$6,400
$7,400
A bag has 6 red blocks and 2 green blocks. Gwen
takes a block out of the bag at random, records the
color, then replaces the block in the bag. She does
this 40 times. Which answer shows the results she
is most likely to have?
A 20 red and 20 green
B
30 red and 10 green
C 10 red and 30 green
D 39 red and 1 green
15 A coin is tossed and a die is rolled. What is the
probability that the coin shows heads and the die
shows a five?
Find the value (may use the functions on your
calculator)
16
8C7
A
B
C
D
56
0
64
8
and these too
17 11!
A
B
A
C
D
B
18
79,833,600
479,001,600
19,958,400
39,916,800
8P2
A
C
B
C
D
D
112
28
14
56
Match the function below to its corresponding graph. See 19-22 on next page.
A
8
D
y
y
7
8
6
5
4
4
3
2
–12
1
–8
–4
4
–4
1
2
3
4
5
6
7
8
x
–8
8
12 x
B
E
y
y
9
10
8
7
8
6
5
6
4
3
4
2
1
2
1
2
3
4
5
6
7
x
–2
C
2
4
6
8
x
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
A
19
B
20
C
D
21
22
24 A drawer contains 2 red socks, 10 white socks, and
7 blue socks. Without looking, you draw out a sock
and then draw out a second sock without returning
the first sock. What is the probability that the first
sock and the second sock are both blue?
A
23 After the introduction of a new soft drink, a taste
test is conducted to see how it is being received.
Of those who participated, 64 said they preferred
the new soft drink, 76 preferred the old soft drink,
and 60 could not tell any difference. What is the
probability that a person in this survey, chosen at
random, preferred the new soft drink?
B
C
D
25 A large company rates its employees every six months as either satisfactory or unsatisfactory. Employees who had
any kind of previous work experience are more likely to be rated as satisfactory than employees without previous
work experience. The percents of experienced and inexperienced workers and their breakdown into satisfactory
and unsatisfactory ratings are shown in the diagram below.
What is the probability that a randomly selected employee will be one who had previous work experience and is
rated unsatisfactory? Round your answer to the nearest whole percent.
A
B
C
4%
8%
9%
26 A ceramic jar contains 22 dimes and 19 quarters.
If two coins are randomly drawn in succession,
without replacement, what is the probability that
the total value of the coins is $0.50?
A
B
C
D
27 A bag contains 3 green marbles and 5 blue
marbles. What is the probability of drawing a blue
marble, then another blue marble, then a green
marble, replacing the marble after each draw?
A
B
D
67%
29 Nine people are entered in a race. If there are no
ties, in how many ways can the first three places
come out?
A 27
B
84
C 336
D 504
30 A bag has 2 orange blocks and 5 yellow blocks.
Cliff takes a block out of the bag at random, records
the color, then replaces the block in the bag. He
does this 70 times. Which answer shows the results
he is most likely to have?
A 35 orange and 35 yellow
B
50 orange and 20 yellow
C 20 orange and 50 yellow
D 69 orange and 1 yellow
31 A coin is tossed and a die is rolled. What is the
probability that the coin shows tails and the die
shows a four?
A
C
B
D
C
28 Two cards are randomly selected from a standard
52-card deck. What is the probability of getting 2
hearts or 2 numbers less than 7 (count aces as 1)?
A 0.256
B
0.267
C 0.002
D 0.365
D
32 After the introduction of a new soft drink, a taste
test is conducted to see how it is being received.
Of those who participated, 56 said they preferred
the new soft drink, 120 preferred the old soft drink,
and 24 could not tell any difference. What is the
probability that a person in this survey, chosen at
random, preferred the new soft drink?
A
B
C
D
33 A ceramic jar contains 16 quarters and 11
nickels. If two coins are randomly drawn in
succession, without replacement, what is the
probability that the total value of the coins is $0.50?
A
B
C
D