John has $20‚000 to invest. He invests part of his money at an annual interest rate of 6%‚ the rest at 9% annual rate. The return on these two investments over one year is $1‚440. How much does he invest at each rate? Solution Paul made two investments totaling $15‚000. The percentage return on the first investment was 7% annually‚ while the the percentage return on the second one was 10% annually. If the total return on the two investments over one year was $1‚350‚ how much was invested
Premium Investment Rate of return Finance
below shows some of the formulae entered to generate the spreadsheet above. Extrapolation in terms of a diagram and geometric progressions T8 T16 “T32”“ T64” X According to the theory derived earlier 32 16 16 8 1 ( - 4 T T≈ + T T ) This gives us the so called “extrapolated” value 32 16 16 8 1 " " ( -). 4 T T TT = + Note‚ this is exactly how “T32” was calculated on the previous page. And then 2 2 64 32 16 8 16 16 8 16 8 1 11
Premium Mathematics Trigraph Geometric progression
Integrating Social Media to Publicize Events Introduction Events management is very important in the lodging industry as players are striving to become more competitive (Silvers‚ 2008). Clients in this industry require nothing short of quality services and when this is offered‚ customer satisfaction arises and this may bring about customer satisfaction. This study on integration of social media in events management process is very relevant in the lodging operations
Premium Management Hotel
SPM(U) 2006 : http://mathsmozac.blogspot.com Section A [52 marks] Answer all questions in this section. 1 The Venn diagram in the answer space shows sets P‚ Q and R such that the universal set‚ ξ = P ∪ Q ∪ R . On the diagram in the answer space‚ shade (a) the set P ∪ R ‚ (b) the set (P ∩ R ) ∪ Q ’ . [3 marks] Answer: (a) P Q R (b) P R Q 2 Diagram 1 shows a solid cuboid. A cone is removed from this solid. 12 cm 10 cm 15 cm DIAGRAM 1 The diameter of the base of the cone is 7 cm
Premium Analytic geometry Cartesian coordinate system Euclidean geometry
University of Rizal System Morong‚ Rizal Submitted to: Dr. Juliet Beringuel Submitted by: Germaine L. Acapulco Title of the Study: Groups of Piecewise Linear Homeomorphisms Author: Melanie Stein Date Conducted: August 1991 Place Conducted: Abstract: In this paper we study a class of groups which may be described as groups of piecewise linear bijections of a circle or of compact intervals of the real line. We use the action of these groups on simplicial complexes to obtain homological
Premium Group Real number
5C Problems involving triangles cQ1. The diagram shows a sector AOB of a circle of radius 15 cm and centre O. The angle at the centre of the circle is 115. Calculate (a) the area of the sector AOB. (b) the area of the shaded region. (226 ‚ 124 nQ2. Consider a triangle and two arcs of circles. The triangle ABC is a right-angled isosceles triangle‚ with AB = AC = 2. The point P is the midpoint of [BC]. The arc BDC is part of a circle with centre A
Premium Triangle Law of cosines
COURSE: Pre IBDP Algebra 2 Trigonometry Assessment Model: 80-20 2013-2014 YEAR AT A GLANCE Sept. 2 (2 = 1st day; 4 days) Class expectations Review Algebra – ch 1 & 2 Nov 4 (5=workday; 4 days) 10-7 Non-Linear Systems of Equations Jan 27 (27 = workday; 4 days) STATISTICS INVESTIGATION UNIT 13 – Statistics 11-1 permutations & combinations measures of central tendency Mar 31 (31=workday; 4 days) 13-4 inverses of trigonometric functions
Premium 1980 1970 1986
Mr. Keshav Singh Kansana 1. The product of 2 numbers is 60 and their arithmetic mean in 8‚ find the numbers. 2. The monthly salary of a persona was Rs. 320 for each of the first three years. He next got annul increment of Rs. 40 per month for each of the following successive 12 years. His salary remained stationary till retirement when he found that his average monthly salary during the service period was Rs. 698. Find the period of his service. 3. Divide 36 into 6 parts in A.P such that the sum
Premium Compound interest
Earth scientist. The study of Earth science deals with many fascinating and practical questions about our environment. Vllhat 1 forces produce mountains? Why is our daily weather so variable? Is climate really changing? How old is Earth‚ and how is it related to the other planets in the solar system? What causes ocean tides? 3 What was the Ice Age like? Will there be another? Can a successful well be located at this site? The subject of this text is Earth science. To understand Earth is not an easy
Premium Geology
Science and Mysticism: Are They Compatible? .Pat Duffy Hutcheon‚ Humanist in Canada (Winter 1996/97)‚ p.20-24. KEY TERMS: mysticism -- transcendentalism -- indeterminacy -- Chaos Theory -- systems emergence -- the anthropic principle -- explanations -- world view -- Cosmological Proof -- postmodernism -- scientific attitude -- contingent causality Much has been written in recent years to the effect that science‚ in its upper reaches‚ merges into mysticism. It is often said‚ by certain New Age
Premium Scientific method Human Science