compounded quarterly‚ find the present value of P5‚500 for 10years and 9 months. -Deferred Ordinary Annuity *Find the present value of a deferred annuity of P1‚050 a year for 8 years that is deferred 2 years‚ If money is worth 7% effective. -Problem on Amortization *Arlette owes P10‚000 with interest at 12% compounded semi-annually for three years. Find her periodic payment payable semi-annually and construct the amortization table. -Sinking Fund *Paula borrowed P5‚000 from the Baranggay
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6.5 Step 1: Pick a friend or family member to be the character of your word problem. This friend or family member may do one of the following: * Drive a boat * Drive a jet ski Step 2: Select a current speed of the water in mph. Step 3: Select the number of hours (be reasonable please) that your friend or family member drove the boat or jets ski against the current speed you chose in step 2. Step 4: Select the number of hours that your friend or family member made the same trip
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their cars that would minimize the average time it took to respond to a call in the downtown area. Sergeant Davies solicited help from Ms. Maris‚ an analyst in the operations area for the police department. Together they began to work through the problem. Sergeant Davies noted to Ms. Maris that normal patrol sectors are laid out in rectangles‚ with each rectangle including a number of city blocks. For illustrative purposes he defined the dimensions of the sector as x in the horizontal direction and
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All Four‚ One - Linear Functions In the last activity‚ we talked about how situations‚ rules‚ x-y tables‚ and graphs all relate to each other and connect. Now‚ we’ll look at how situations‚ rules‚ x-y tables‚ and graphs relate and connect to linear functions. A linear function is a function that‚ if the points from the function were to be put on a graph and connected‚ it would form a straight line. They are used to show a constant rate of change between two variables. A very simple example
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Cramer’s Rule Introduction Cramer’s rule is a method for solving linear simultaneous equations. It makes use of determinants and so a knowledge of these is necessary before proceeding. 1. Cramer’s Rule - two equations If we are given a pair of simultaneous equations a1 x + b1 y = d1 a2 x + b2 y = d2 then x‚ and y can be found from d1 b1 d2 b2 a1 b1 a2 b2 a1 d1 a2 d2 a1 b 1 a2 b 2 x= y= Example Solve the equations 3x + 4y = −14 −2x − 3y = 11 Solution Using Cramer’s rule we can write
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Initialise Clear the workspace and load Linear Algebra package > restart; > with(LinearAlgebra): If you want practice at hand calculation you should use the worksheet "Interactive Gaussian Elimination" (see Menu) Enter the matrix of coefficients and right-hand side vector You may edit the following statements or use the matrix and vector pallettes to enter new data ( see View‚ Palettes) > A:=<<4 | 2 | 3 | 2> ‚ <8 | 3 | -4 | 7> ‚ <4 | -6 | 2 | -5>>; > b:=<<15‚ 7‚ 6>>;
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second word problem of “Mrs. Higashi displayed 57 student drawings on 3 walls in her art classroom. If she divided the drawings equally‚ how many drawings are on each wall?” After introducing the word problem‚ we broke apart the word problem by circling the information the word problem provided us with such as 57 student drawings and 3 walls‚ I also asked students what operation we needed to solve this word problem. The students could determine we needed to divide to solve the word problem. Then I
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17th International Mining Congress and Exhibition of Turkey- IMCET 2001‚ © 2001‚ ISBN 975-395-417-4 Optimum Blending of Coal by Linear Programming for the Power Plant at Seyitömer Coal Mine K.Erarslan‚ H.Aykul‚ H.Akçakoca & N.Çetin Dumlupınar University‚ Department of Mining Engineering‚ 43100‚ Kütahya‚ Turkey ABSTRACT: In this study‚ a linear programming model is developed to determine the optimum coal blend in terms of quality and quantity. Coal with various features is mined from different
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Solving 2- step word problem s involving multiplication and any of addition or subtraction I. Learning Objectives Cognitive: Solves 2- step word problems involving multiplication and any of addition or subtraction. Psychomotor: Wrote the solution accurately. Affective: work cooperatively with the group. II. Learning Content Skill: Solving 2- step word problem s involving multiplication and any of addition or subtraction. Reference: BEC – PELC I D 8.1-textbooks Materials: textbook‚ fleshcards
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UTT MATH1002 Weeks 3&4 Notes Systems of ODEs First-order linear equations with constant coefficients [pic] [pic] Let [pic] [pic] Taking Laplace transforms of (1) and (2) [pic] [pic] From (3) and (4) [pic] [pic] We solve this system algebraically for [pic]and [pic] and obtain [pic] by taking inverse transforms. Example [pic] [pic] [pic] We have [pic] [pic] [pic] From (5) and (6) [pic] [pic] [pic]
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