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What is the relation between interest payments and sequences? Why is compound interest considered a geometric sequence?
Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
determine the steady state response of this system.
The mean of 40 scores is -29. If each score had 5 added to it, and then divided by 4, what would the mean of these new scores be?
An archacilogist find s pottery in a Middle Eastern cave which contains only 30% as much carbon14 as a piece of modern pottery. how old is the pottery in the cave? (The half life of fear on 14 is 5730 years)
Claire sells packets of sunflower seeds for $0.95 each and packets of morning glory seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination, combining both types of seeds at $1.10 per packet.
Let f(x,y) = 1 - x2 - 2y2 and let S be the surface z = f(x,y). Parametrize the path of steepest ascent up S starting from the point (2, 1, -5). What point does the path approach?
Suppose that you are dealt a hand of 9 cards from a standard deck of 52 playing cards. What is the probability that you are dealt exactly 3 kings? What is the probability that you are dealt 9 cards of the same suit?
Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure.
The mean tuition cost at university though the United State is 4260 per year. Use this value as the population mean and assume that population standard deviation is USD 900. Assume that random sample of so university will be selected. What is the pro..
The sum of the infinite series, 1/2^2 - 2/3^2 + 3/4^2 - 4/5^2 + ... is given as pi^2/12 - log 2 on pages 64-65 in the book "Summation of Series" by L. B. W. Jolley, 2nd ed., 1961, Dover Pubs. Inc. (the ^ symbol denotes exponentiation in the above ..
if her account earns 4% interest, compounded monthly, then when she retires, what is her maximum possible monthly withdrawal (without running out of money)?
Investments. William opened two investment accounts for his grandson's college fund. The first year, these investments, which totaled $18,000, yielded $831 in simple interest. Part of the money was invested at 5.5% and the rest at 4%. How much was..
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