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Write the quadratic function for area of rectangle in terms of width. Determine vertex of graph of quadratic function and interpret its meaning in context of problem.
Manager of the money market fund has invested $4.2 million in certificates of deposit which pay interest at rate of 5.4%/year compounded quarterly over the period of five years.
Consider P be the non-empty family of sets, consider I be non-empty set and consider {Ci} for all i in I be family of chains in P. Is intersection of Ci always a chain in P? Write the proof or the cou
Thirty years ago the father invested $1000 in the account or you. Today that account is value $85,000. Determine average rate of return on the investment?
How to prove statement, for each positive real number a and positive rational number b, there exist the real number c and irrational number d such that ac+bd=1.
The lawyer has found 60 investors for LLC to buy the inner-city complex with each contributing either $5,000 or $10,000. If LLC increased $420,000, how many investors contributed $5,000 and how many
Find vertex of graph of the quadratic function: f(x) = x2 + 4. Vertex is the optimum point. It is highest or lowest point of given function.
The height in feet of the projectile with the initial velocity of 96 feet per second and the initial height of 75 feet is the function of time t in seconds provided by: h(t) = -16t2 + 96t + 75. Dete
After five minutes, absorbance at 403 nm has changed by 0.550. Molar absorbtivity (e) of product is 18.8x10^3 L/mol cm. Determine activity of the enzyme in U/L?
The football is kicked from ground with the resultant velocity of 30m/sec at the angle of 40 degrees from horizontal. Find time when the ball is in air, how high it goes?
Illustrate using generalized pigeonhole principle that once all things are in buckets, there will be at least four buckets that hold at least five things each.
Holly Berry Incorporated debtholders are assured payments of $25 if firm does well, will receive only $20 if firm does poorly. Bondholders are eager to pay $15. Determine assured return to bondholde
Assume that pssword for computer system should have at least five, but no more than fifteen, characters. Find number of different passwords are available for computer system?
You encounter two people, Albert and Brian. Find, if possible, what Albert and Brian are if they speak to you in manner explained below. Albert says 'At least one of us is the knave' and Brian says
By using Simple fixed point iteration. Begin with x=0.9 as the initial guess and do 4 iterations. Write the estimate of absolute error.
Find largest and smallest degrees of vertices of G. Does G contain the independent set of size three or more? Find chromatic number of G, and describe.
Is it possible that any two candidates receive same number of points? Describe. Which of three fairness criteria are true for the system? Describe.
Recall that cost in flops of the general dense matrix-matrix multiply C=AB for m x m matrices is O(2m^3). If A and B are tridiagonal that is semi bandwidth s=1, bandwidth 2s+1=3), find bandwidth of
Let weighted voting system [4;3, 3, 2, 2, 2]. Determine Banzhaf power index of every player and explain. Determine Banzhaf power index of every player if voting system is (9; 5, 5, 1, 1, 1).
The particular kind of bacteria grows at the rate of 32 % per day. If dog got infected with 3000 bacterium when leg was cut by barbed wire, find how many bacterium will be present in eighteen days.
Population of world in 1987 was 5 billion and relative growth rate was evaluated at 2% per year. Suppose that world population follows the exponential growth model, determine projected world populat
Website costs $ 160 a month to maintain. Every katana costs $ 290 to make, and they sell every katana for $ 680. Create the linear model in form y = m x + b where x is number of swords sold per month
The gas station sells 1400 gallons of gasoline per hour if it charges $ 2.30 per gallon but only 800 gallons per hour if it charges $ 2.80 per gallon. Suppose the linear model. How many gallons woul
Determine monthly break even point for number of pints made and sold to nearest integer? Beekeeper makes decision to give herself the raise amounting to $80 per month.
Monthly overhead is $29,700 and every wakeboard costs $512 in materials and labor to make. If the items are sold for $579. Determine profit in dollars if 224 wakeboards are made and sold?