Week 4
105.
A = P(1 + r/n)^nt
plugging in,
20,000 = 12,500(1 + .00575/4)^4t
1.01435^4t = 1.6
taking logs of both sides,
4t log 1.01435 = log 1.6
4t = log 1.6 / log 1.01435 = 32.987
t = 8.24.
= 8.2 years
113.
A) 2007 is 5 years after 2002, so x = 5. Just p
Week 8
11.1
70. a. Use the numbers given in the graph to find and interpret:
-> 5
1/5 a[i]
-> i = 1
2.9+3.6+4.5+4.9+5.5
21.4 / 5 = 4.28 average spent.
b. The finite sequence whose general term is a_n=0.65n+2.3, where n=1,2,3,4,5, models
spending for consu
Week6
Tasks:
84. A full circle (in radians) is 2 (that's the circumference of a unit circle). So take 5/6 of
that:
2 * 5/6
= (10/6)
= (5/3)
= 5/3
And the distance from the center is 6 units.
Answer:
(5/3, 6)
34. 7(cos 3pi/2 + i sin 3pi/2)
= 7(0 - i)
= -7i
WEEK5
51.In
triangle ABC
B = 84.7; A = 50; c = 171 feet. Find a.
C = 180 - (50 + 84.7)
C = 45.3
Using the Sine Rule
a / sin(50) = 171 / sin(45.3)
a = 171 sin(50) / sin(45.3)
a = 184.3 feet
The distance, to the nearest tenth of a foot, from the base to the
Week 10
Solve questions 28 and 3136 of EXERCISE SET 11.7 on page 1043 of the
textbook.
28. 30C6 = 593,775 different 6-number sets.
Prob of winning with 1 ticket = 1/593,775
Prob of winning with 100 tickets = 100/593,775 = 1/5938
FIND THE PROBABILITY THAT
WEEK9
Solve questions 36 and 50 of EXERCISE SET 11.6 on pages 1028-1029 of the textbook.
36.
For the first letter, we have two choices: W or K.
For the second, third and fourth letters, we have 26 choices: A - Z. Each of these are
independent, so the mult
WEEK7
68. A plane with airspeed of 450 miles per hour is flying in the direction N35degreesW.
vector
i
vector
j
i+
j
There is no way to get the exact values, so we punch those into a
calculator and get:
rounded to tenths:
i+
j
52.
= 3(180) + 2(450) = 540