The process of determining the present value of future cash flows in order to know their worth today is referred to as:

You want to have $1 million in your savings account when you retire. You plan on investing a single lump sum today to fund this goal. You will earn 7.5 percent annual interest. Which of the following will reduce the amount that you must deposit today if you are to have your desired $1 million on the day you retire? I. Invest in a different account paying a higher rate of interest. II. Invest in a different account paying a lower rate of interest. III. Retire later. IV. Retire sooner.

Use the simplex method to solve the linear programming problem.Maximizez = 9×1 + 8x2subject to:x1 + 2×2 ≤ 2 3×1 + 2×2 ≤ 8 2×1 + 3×2 ≤ 10withx1 ≥ 0, x2 ≥ 0

Provide an appropriate response.Does a linear program with at least three constraints always have a closed feasible region?

A bakery makes sweet rolls and donuts. A batch of sweet rolls requires of flour, eggs, and of sugar. A batch of donuts requires of flour, eggs, and of sugar. Set up an initial simplex tableau to maximize profit.The bakery has 200 lb of flour, 370 dozen eggs, of sugar. The profit on a batch of sweet rolls is and on a batch of donuts is $8.00.

B. Las partes del cuerpo: ¿A qué se refieren? Valeria and her friends are playing a vocabulary game to practice their Spanish. First, read the statements. Then, finish the sentences by writing a logical body part in the space provided. Be sure to include a definite article (i.e., el/la/los/las). Do not repeat words, expressions or the model. (1½ pts. each: ½ pt. for correct article, 1 pt. for appropriate word; 6 pts. total)   MODELO: (You read): Las zapatillas de deporte me molestaron ayer durante la práctica. Ahora me duele(n) (blank).  (You type):  los pies        Cuando me pongo muy nervioso, aunque esté sentado, me va muy rápido y palpita en el pecho: [blank1].   Si no tomo un antiácido antes de comer comida frita, es posible que me duela: [blank2].   Está en la boca y la movemos para hablar: [blank3].   Mientras jugaba a fútbol me torcí [blank4].

C. Las atracciones turísticas y naturales: ¡Muchos lugares diferentes! Valeria and her friends continue to practice their Spanish vocabulary. They now read descriptions of touristic and natural attractions, and they have to guess what place the description is referring to. Can you help them? First, read over each description. Then, type a logical attraction based on the description in the space provided. Make sure to include an indefinite article (i.e., un/una/unos/unas). Do not repeat words, expressions or the model. (1½ pts. each: ½ pt. for correct article, 1 pt. for appropriate word; 9 pts. total) MODELO: (You read): En este lugar puedes comprar recuerdos, probar la comida local y observar a la gente: (blank). (You type): un mercado   En este lugar hace mucho frío, pero es bueno si les gusta caminar por la naturaleza: [blank1].   Aquí pueden ver figuras o héroes históricos de un país. También pueden admirar la historia del país: [blank2].   En este lugar hay muchos árboles y animales. Es ideal para hacer excursiones: [blank3].   Este es un lugar religioso. Si entran aquí necesitan estar en silencio para ser respetuosos: [blank4].   Tienen que pagar una entrada para entrar a este lugar. Es su lugar si les gustan las emociones fuertes y sentir adrenalina para divertirse: [blank5].   Aquí pueden nadar en la naturaleza. El agua puede estar un poco fría: [blank6].

A. Definir palabras nuevas. Based on the context provided in the passage, infer the meaning of the four bolded and underlined words in the reading. Select the best response from the dropdown menu. (1 pt. each word; 4 pts. total)  MODELO: (You read): aprendiz: (blank). (You read): a. profesor  b. appetizer  c. apprentice  d. ninguna de las anteriores (You select): c. apprentice   enfrentarse [blank1] escenario  [blank2] estado de ánimo [blank3] aprovechar  [blank4]  

A. Responder preguntas: ¿Dónde en el aeropuerto? This is Carlos’s first time travelling abroad, and he wants to know where to complete the necessary procedures at the airport. Help him to choose the correct answer. First, review the possible answers provided in the dropdown menu. Then, listen carefully to the question. For each item, choose the word from the dropdown menu that best matches what you hear. If none of the options make sense, select ninguna de las anteriores (none of the above). (1 pt. each; 7 pts. total) MODELO:  (You hear): ¿Dónde tengo que facturar el equipaje y obtener la tarjeta de embarque? (blank) (You read): a. en la agencia de viajes   b. en el mostrador de la aerolínea   c. en la sala de espera  d. en el asiento de ventanilla    e. ninguna de las anteriores (You select): b. en el mostrador de la aerolínea       1. [1]  2. [2]  3. [3] 4. [4] 5. [5] 6. [6] 7. [7]  

E. El subjuntivo: Rumores y mitos de salud. As you are traveling through La Paz, you hear many myths, rumors, and exaggerations from locals about personal health. Express your skepticism by typing complete sentences in Spanish using the subjunctive. Do not repeat verbs or the model. (2 pts. each: 1 pt. for use of subjunctive, ½ pt. for logical response, ½ pt. for complete sentence; 6 pts. total) MODELO: (You read): Tu amigo dice que correr una maratón a la altura de La Paz (12,000 ft.) es fácil.  (You type): Es improbable que correr una maratón a la altura de La Paz sea fácil   Un vendedor de la calle dice que los amuletos (trinkets) curan todas las enfermedades. [1] Un vecino afirma que el Mercado de las Brujas vende pociones mágicas de verdad. [2] Una persona mayor cree que en las calles de La Paz hay espíritus. [3]