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Diversification: Helen has (1/5) of her portfolio in US stocks, (1/8) of her portfolio in European stocks, and (1/10) of her portfolio in Japanese stocks.... The remainder is invested in municipal bonds.... What fraction of her portfolio is invested in municipal bonds?... What… 106.... Net Worth: Melanie's house is worth $125,000, but she still owes $78,422 on her mortgage....
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A Pythagorean triple refer to a set of three positive integers a, b, c such that the sum of the squares of two smaller integers of them equal to the square of the third largest integer i.... .... if c > a, b then a2 + b2 = c2, c2 – a2= b2, or, c2 – b2 = a2.... Pythagorean triples are… part of Pythagorean Theorem which says that in a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides 1....
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An enzyme is used to cut each DNA into short fragments; the enzyme always cuts at the same DNA sequence, and the positions of such… Suppose that a particular length fragment, called A, has a variant A1 that is only found in 1% of the population.... Similarly, suppose that the fragment B has a variant B1 found in 4% of the population, and C has a variant C1 found in 2....
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Infrastructure is referred as stock of facilities, equipments and services in a given country including roads, factories, and schools that are required for a country to function well.... There are other vital components of national infrastructure that consists of telecommunication… The fact that a country cannot operate properly without infrastructure, it is thus, of a national strategic significance to expand and upgrade ample infrastructure Infrastructure is very vital for any economy, and a key difference that exists between the developed economy and a less developed one is only the quality of infrastructure....
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Roots of numbers are given by the symbol √.... The roots of numbers extend from the second or square root, third root fourth root and so on until the nth root.... The nth root of a number say, m is given my n√ (m).... In simplification of radicals, first… If this number is in its simplest form and cannot be divided by any perfect square, then we conclude that the radical is in its simplest form and therefore cannot be reduced further....
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Our aim is to show that it is almost diagonal.... We recall that Rn is a circulant matrix.... This is approximated by circulant matrices R (z) and can be written as the sum of two circulant matrices, plus some error that will… To define two circulant matrices Rj,1 and Dj,1, we observe the upper right upper side of the circulant matrix.
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First we need to get the eigenvalues of matrix A; in this case since matrix A is a 4*4 identity matrix whose rows have been interchanged, its eigenvalues are simply λ1=λ2=λ3=λ4=1.... The dimension of the kernel of (A-4In) is 4.
... ... he dimension of a vector space is the number of… ectors of a basis of A, such that for every vector space there exists a basis and all bases of a vector has equal cardinality which is uniquely defined; A is finite dimensional since the dimension of A is finite.
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Using the right angled rule let the original line and the new line be the two short side.... Let |AB| take the ratio 4 while .... Take the ratio 3.... This mean that… From this we get that = |AB|/4.... Implying that the line .... Can be obtained by dividing the line AB into 4 equal parts.
The line |AB| is 3x....
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