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Question: Solve the given problems by use of an appropriate sequence or expansion. All numbers are accurate to at least two significant digits.
When new, an article cost $250. It was then sold at successive yard sales at 40% of the previous price. What was the price at the fourth yard sale?
A rabbit population grew in the following pattern: 2, 4, 8, 16... If all of the rabbits live and continue in the pattern, how many rabbits will be in the 8th generation? (32, 128, 256, or 512?) This is an example of a geometric sequence.
What other research approaches might be better or worse for gaining insight on the reasons behind people's behavior?
which relationship can best described as casual?
a 6 ft vertical post casts a 10 in shadow at the same time a nearby cell phone tower casts a 115 ft shadow. How tall is the cellphone tower.
What are the rate and minimum distance for this code?
A circular swimming pool has a diameter of 30 ft, the sides are 5 ft high, and the depth of the water is 2 ft. How much work is required to pump all of the water out over the side? Use the fact that the water weighs 62.5 lb/ft3.
Show that sin mt and cos nt are orthogonal for all positive integers m and n.
A plane is heading due south with an air speed of 125 mph. There is a constant wind blwoing from the west at 30 mph. Find the plane's ground speed and heading.
Suppose that E is a normed linear space, and C is a subset. Prove that C is weakly bounded if and only if C is norm bounded. Conclude that weakly convergent sequences in E are bounded.
the advantage of a gantt chart over other charts is
A telephone pole 35ft. tall has a guy wire attached to it 5 ft. from the top and tied to a ring on the ground 15 feet from the base of the pole.
Find h, the vertical height (to the nearest metre) of the particle above the plane after 3 seconds, using g = 10 m/s2.
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