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A retired couple has up to $30000 to invest in fixed-income securities. Their broker recommends investing in two bonds: one a AAA bond yielding 8%; the other a B+ bond paying 12%.
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
I have a question that hurts my head to work out. It is really confusing for me. It sais " By the start of the 21st century, only 1 in 6 babies in America was born with blue eyes.
max z=3x1+2x2 s.t x1+2x2 3x1+2x2>=6 x1+4x2 x1,x2,x3>=0
The quotient of 3d 3 and 9d 5 is The key word quotient means division so the problem becomes 1d 3 -5/ 5. Divide the coef?cients: 1d 3 /3d-5 . While dividing like bases, subt
There may be more than one independent variable which determines the value of y. The dimension of a function is determined by the number of independent variables in the
Factoring polynomials Factoring polynomials is done in pretty much the similar manner. We determine all of the terms which were multiplied together to obtain the given polynom
Relative Frequency This type of probability requires us to make some qualifications. We define probability of event A, occurring as the proportion of times A occurs, if we re
Slope-intercept form The ultimate special form of the equation of the line is possibly the one that most people are familiar with. It is the slope-intercept form. In this if
all formulas of plane figures
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