short-term because those assets had shorter useful lives. – Expected return proxy Arithmetic average return is more suitable than geometric mean as it is better in estimating an investment’s expected return over a future horizon based on its past performance (geometric mean is a better description of long-term historical performance of an investment). – Risk-free interest rate Taking into account the above‚ arithmetic average annual returns of long-term U.S. government bonds for the period 1951-1987
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1100 0. The last two bits are 00. * P = 0000 0110 0. Arithmetic right shift. 2. P = 0000 0110 0. The last two bits are 00. * P = 0000 0011 0. Arithmetic right shift. 3. P = 0000 0011 0. The last two bits are 10. * P = 1101 0011 0. P = P + S. * P = 1110 1001 1. Arithmetic right shift. 4. P = 1110 1001 1. The last two bits are 11. * P = 1111 0100 1. Arithmetic right shift. * The product is 1111 0100‚ which is −12. The above
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Dr Montessori loved mathematics. In Italy in the 1880 she chose to attend a boy’s technical school just so she could study mathematics. This love of mathematics is very visible in the wonderful materials she designed so young children could share her enthusiasm. In the Montessori view the ‘mathematical mind’ is a manifestation of several human tendencies. “Humans are driven to explore and to investigate their environment. To this effectively‚ they need to orient themselves in an ordered way” (Feez
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dollar) the total cost of tuition fees for the first six years of high school. Working: Answers: (a) ………………………………………….. (b) .................................................................. (Total 4 marks) 5. The first four terms of an arithmetic sequence are shown below. 1‚ 5‚ 9‚ 13‚...... (a) Write down the nth term of the sequence. (b) Calculate the 100th term of the sequence. (c) Find the sum of the first 100 terms of the sequence. Working: Answers: (a) ………………………………………….
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Subtraction with Regrouping Abstract This literature review focuses on two-digit subtraction with regrouping. Many students struggle with this concept and place value is a major stumbling block for students trying to master subtraction. This paper will also show that delaying the introduction to the traditional algorithm and allowing students to use their invented strategies as well as paying attention to the concrete-representational-abstract instructional sequence help students overcome the
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1) Calculate the value of the gas law constant R when pressure is in atm‚ volume in Liter and temperature in Kelvin. Given R = 8.314 Jmol‐1K‐1‚ 1 atm = 1 .01325x105 Nm‐2‚ 1m3 = 1000 L J R = 8.314 mol x K = R = 8.314 2 m x mol x K R = 0.082 atm x L mol x K 1.01325 x 10 2 m x mol x K 1 x Nxm = mol x K 3 Nxm 3 Nxm 5 atm Nm-2 x 1000 L 3 m Reporting computed data • Multiplication and Division 5.02 x 89.665 x 0.10 = 45
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Solved Problems : Doing Physics 1. The power output of a typical large power plant is 1000 megawatts (MW). Express this result in (a) W‚ (b) kW‚ and (c) GW. a) 1000 MW = 103 × 106 W = 109 W b) 1000 MW = 103 × 106 W = 106 kW c) 1000 MW = 103 × 106 W = 1 GW 2. A car is moving at 35.0 mi/h. Express its speed in (a) m/s and (b) ft/s. a) 35 mi/h = 35 × 1.609 × 103 = 15.6 m/s 3600 b) 35 mi/h = 35 × 1.609 × 103 × 102 = 51.3 f t/s 2.54 × 12 × 3600 3. Add 3.63105 m and 2.13103 km . 3.63105 + 2.13103 ×
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An educator’s mathematical knowledge will impact on a child’s ability to be numerate. When referring to mathematics one must consider it as the umbrella of the domain. To be numerate one must consider how the use of mathematics is influenced by social and cultural contexts (Macmillan‚ 2009‚ p. 1). There is a common misconception that early childhood educators do not need to teach mathematics‚ therefore many pre-service teachers opt to study the early years over primary and high school‚ as they do
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Kindergarten‚ ELA Workshop Model Lesson Plan Standards Addressed: K.CC.A.1- Count to 100 by ones and by tens. 1.NBT.A.1 -Count to 120‚ starting at any number less than 120. In this range‚ read and write numerals and represent a number of objects with a written numeral. 2.OA.C.3- Determine whether a group of objects (up to 20) has an odd or even number of members‚ e.g.‚ by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. Materials:
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Significant Figures in Measurement and Calculations A successful chemistry student habitually labels all numbers‚ because the unit is important. Also of great importance is the number itself. Any number used in a calculation should contain only figures that are considered reliable; otherwise‚ time and effort are wasted. Figures that are considered reliable are called significant figures . Chemical calculations involve numbers representing actual measurements. In a measurement‚ significant figures
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