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Michael Franklin has ?$19,000 invested in stock A and stock B. Stock A currently sells for ?$50 a share and stock B sells for ?$90 a share. If stock B triples in value and stock A goes up? 50%, his stock will be worth ?$42,000. How many shares of each stock does he ?own?
Let gamma be a closed rectifiable curve in C (Complex plane) and a is not an element of {gamma}. Show that for n>= 2 integral over gamma of (z-a)^-n dz = 0.
Do you agree? Should managers be automatically blamed when their budgets have an unfavorable variance?
A square garden has a 4-ft walkway around it. The garden has a perimeter of 260 ft. What is the area of the walkway in square feet?
1. Show all work to solve this system by the substitution method:
If Barbara earns a salary of $15,860 a year and is paid semimonthly, how much does she earn in a semimonthly pay period
What is the proportion of trucks that can be expected to travel either between 34 and 50 thousand miles?
Compute the determinants using a cofactor expansion across the first row.
Suppose that a basketball league has 32 teams, split into two conferences of 16 teams each. Each conference is split into three divisions.
The CD paid 4% annually, the bonds paid 5% annually, and the mutually fund paid 8% annually. There was $4,000 more invested in the CD than the mutual funds. Find the amount Sandra invested in each category.
Let G be a graph with p vertices and p-1 edges. Prove that G is a tree iff any p-1 rows of the incidence matrix are linearly independent over Z/(2) (integers modulo 2).
Determine the normalized eigenfunction for this problem; Use the results in part (a) to express f(x)=x in an eigenfunction expansion, i.e. determine the expansion coefficients (Cn).
Rewrite the middle term as the sum of two terms and then factor completely.
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