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January 2025
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Discrete Mathematics
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January 28, 2025
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January 28 of 2025
5. Existe un Bono cupón cero que paga 100,000 al final de 40 años. Considerando fuerza de interés=7.70\%. Si quiere tener un fondo de retiro de 25,000,000 en t=40. ¿Cuánto debe invertir en \( t=0 \) ? Tu respuesta 6. Si usted solo quiere invertir el \( 50 \% \) de la cantidad anterior en \(…
6. Si usted solo quiere invertir el \( 50 \% \) de la cantidad anterior en \( t=0 \), ¿de que nivel serÃa la tasa anual efectiva del instrumento financiero anterior?
1. Usted deposita 1000 el dÃa de hoy, y asà sigue durante 20 años, a partir de entonces deposita 3000 durante 20 años. Se tiene i(4)=6\% por los primeros 15 años. Después de 15 años la cuenta gana \( \delta \) mayor en \( 1.25 \% \) a la tasa anual efectiva equivalente. ¿Cuáto tendrá la cuenta…
For problem 2 of homework 1, one possible strategy is: smoke all 400 bellies on regular time, smoke 20 picnics on regular time and 210 on overtime, and smoke 40 hams on overtime and sell 440 fresh. Please use Theorem 2 in lecture 1 to find out whether this strategy is optimal or not
Please correctly answer this simple math problem so we'll know you are a person and not an automated system. 1 + 6 =7
Figure 5-33 11. Consider the graph in Fios. 5-33. (a) Find a path from C io \( F \) pasinge through vertex \( B \) tot not throuph wertex \( D \). (b) Find a poth from \( C \) to \( F \) pasing through boft wertex \( B \) and wertox \( D \). (c) Find a path of length 4 from \( C \) to \( F…
Figure 5-33 11. Consider the graph in Fios. 5-33. (a) Find a path from C io \( F \) pasinge through vertex \( B \) tot not throuph wertex \( D \). (b) Find a poth from \( C \) to \( F \) pasing through boft wertex \( B \) and wertox \( D \). (c) Find a path of length 4 from \( C \) to \( F…
Q2. Prove that the 5 th roots of unity form a cyclic group under multiplication.
27. Let \[ \mathbf{A}=\left[\begin{array}{lll} 1 & 0 & 1 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array}\right] \quad \text { and } \quad \mathbf{B}=\left[\begin{array}{lll} 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 0 & 1 \end{array}\right] \] Find
1. \( \operatorname{Let} \mathbf{A}=\left[\begin{array}{llll}1 & 1 & 1 & 3 \\ 2 & 0 & 4 & 6 \\ 1 & 1 & 3 & 7\end{array}\right] \). a) What size is \( \mathbf{A} \) ? 2. Find \( \mathbf{A}+\mathbf{B} \), where b) What is the third column of A? c) What is the second row of \( \mathbf{A} \) ? b)…
Exercise 1 1) State the principle of bisection method2) State the princible of Newton method3) Where do the curves of y = cos x y = x ^ 3 -lintersect?3-a) Use bisection method3-b) Use Newton method3-c) Can you compare the two method on this case?4) What do you underestand by order of…
(This is a special case of the inclusion-exclusion principle, which will be studied in Chapter 8.) 47. Let \( A_{i}=\{1,2,3, \ldots, i\} \) for \( i=1,2,3, \ldots \). Find a) b) 48. Let \( A_{i}=\{\ldots,-2,-1,0,1, \ldots, i\} \). Find a) b)
A professor packs her collection of 40 issues of a mathematics journal in four boxes with 10 issues per box. How many ways can she distribute the journals if a) each box is numbered, so that they are distinguishable? b) the boxes are identical, so that they cannot be distinguished?
While watching The Verdict, rate the witnesses as excellent, adequate, or poor on the following items: The attention span of the witness; Whether the manner of the witness matched the part that was being played; Whether the witness answered the questions directed to him or her;…