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You wish to deposit $500 per month into an account for 36 months. Assume your interest rate is equal to the prime interest rate.
a) How much do you have (total) in the account after 36 months?
b) How much of that total is interest?
Using Excel to graph, prove whether the following equation could possibly be an identity or determine if it is definitely not an identity.
Graph the function and label the x and y-intercepts on a scale where y-axis ranges from -100 to 900 and x-axis ranges from 0 to 55. What is the maximum profit earned by the company in a week?
Compute the Initial Value Problem, Let G be a bipartite graph partitioned into vertex sets V and W. Assume all vertices have the same degree. Show G has a perfect matching.
Solve the average cost function.
In what fundamental way does the solution set of a system of linear equations differ from the solution set of a system of linear inequalities?
Calculating the probability values
Suppose demand is expressed as QD = 300 - 50P. If we want to make this equation consistent with the typical supply and demand diagram, this equation must be stated as:
Create 2 sets. Set A will be the list of the 5 items you personally need to buy the most (essential items). Set B will be the list of 5 items that you want to buy the most ( fun stuff).
Let (X,d) be a compact metric space, and let Con(X) denote the set of contraction maps on X. We shall define the distance between two maps f,g which belongs to Con(X) as follows:
The set of bit strings that end with 00; the set of bit strings that end with 01; the set of bit strings that end with 10; and the set of bit strings that end with 11.
Imagine you are talking about your college math class over the family dinner table with your father, and he asks, "What are Venn diagrams?" Describe how you would explain them to him.
Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2): Is it a vector space, if not demonstrate which axioms fail to hold.
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