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two investments were made totaling #15000. for a certain year these investments yielded $1326 in simple intrest. part of the $8800 was invented at 14 and part at 16% find the amount invested at each rate.
Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) with the initial conditions a(0)=0 and a(1)=2. Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) +12 with the initial conditions a(0)=0 and a(1)=2.
An anchor weighing 125 lb in water is attached to a chain weighing 4 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 50 ft.
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
Inside a semicircular tunnel of diameter 20 feet, a vertical support beam is placed 6 feet from the side of the tunnel. How tall is the beam? (Round to one decimal place.)
35% of a store's computers come from factory A and the remainder come from factory B.2% of computers from factory A are defective while 1% of computers from factory B are defective.
What price should the company charge in order to maximize total revenue? What is the maximum revenue?
How far should its base set away from the building wall? Explain your answers and show your calculation. NOTE: You may need to apply the Pythagorean Theorem when solving this question.
Compute the test statistics used to test the null hypothesis that p1=p2. A report on the nightly news broadcast stated that 15 out of 140 households with pet dogs were burglarized and 20 out of 180 without pet dogs were burglarized.
Find the mean values for this variable.
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
Sam purchased 1000m2 of material and needed to cut it into rectangles of area 200cm2 for a patchwork quilt. This can be done with no waste. How many rectangles can Sam make.
Assume 450,000 people line up on the streets to see the Macy's Thanksgiving Parade in 2010. If attendance is expected to increase 30%, what will be the number of people lined up on the street to see the 2011 parade?
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