MA 15900
EXAM
3
FALL 2011
1
1. Find the exact value of
cos
−
9
π
4
⎛
⎝
⎜
⎞
⎠
⎟
.
1)
3
−
1
2)
1
−
3
3)
−
1
3
−
1
4)
1
3
−
1
5)
−
2
2
6)
2
2
7)
−
2
8)
2
9) None of the above
2. A tourist, who is standing on level ground 300 meters from the base of a redwood tree, observes that
that the angle between the ground and the line of sight from her to the top of the tree is 22
°
.
Approximate the height of the redwood tree to the nearest tenth of a meter.
1)
13.6 meters
2)
112.4 meters
3)
121.2 meters
4)
278.2 meters
5)
323.6 meters
6)
442.5 meters
7)
500.8 meters
8)
742.5 meters
9)
800.8 meters
3. How much money, invested at an interest rate of 11% per year compounded monthly, will amount to
$250,000 in 20 years? Round your answer to the nearest cent.
1)
$27,700.79
2)
$27,979.81
3)
$29,111.20
4)
$31,008.48
5)
$113,636.36
6)
$550,000.00
7)
$2,233,753.84
8)
$2,256,253.38
9) None of the above
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MA 15900
EXAM
3
FALL 2011
2
4. Staring with
c
milligrams
of radium, the amount remaining after
t
days may approximated by
A
(
t
)
=
ce
−
0.004
t
. If the initial amount of radium is 100 milligrams, approximate the amount of
radium left after 200 days. Round your answer to the nearest hundredth of a milligram.
1)
445.11
milligrams
2)
298.36
milligrams
3)
222.55
milligrams
4)
149.18
milligrams
5)
134.06
milligrams
6)
89.87
milligrams
7)
67.03
milligrams
8)
44.93
milligrams
9) None of the above
5. Poiseuille’s law states that the blood flow rate
F
(in L/min) through a major artery is directly
proportional to the product of the blood pressure
P
and the fourth power of the radius
r
. If during
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 Spring '09
 Kilogram, exact value

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