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Lesson 08 Mar 23
Absolute value refers to the distance from zero on the number line. There are two values, -2 and 2, that have an absolute value of 2. Absolute value can never be negative because distance cannot be negative. The document provides examples of using absolute value to solve equations.
Feb 18 2009
Net worth is calculated by taking total assets and subtracting total liabilities. Assets include things owned that have monetary value, and are classified as liquid, semi-liquid, or non-liquid depending on how easily they can be converted to cash. Liabilities are amounts owed, and include short-term debt that should be paid off within a year, and long-term debt used to finance long-term investments. Sheenqui meets with her financial advisor to determine her net worth based on her home worth $210,000 with a $152,000 mortgage, $35,000 in RRSPs, $734 in her chequing account but owing $12,500 on her credit card, and a $15
Quadratic Lesson 6
This document contains four separate problems:
1) Calculating maximum revenue from software sales at different price points
2) Finding the maximum height and time to reach it for a projectile shot straight up
3) Determining the maximum rectangular area that can be enclosed by 120m of fencing with one side being a wall
4) Repeated question about finding the maximum rectangular area that can be enclosed by 120m of fencing with one side being a wall
03 Probability Mar4
The document discusses counting principles and examples of counting problems:
1) There are 12 possible outfits that can be made by combining 3 pairs of pants with 4 shirts.
2) The fundamental principle of counting states that if there are M ways to do the first thing and N ways to do the second, then there are M x N ways to do both.
3) Examples include counting possible phone numbers and combinations of letters to make words.
Probability Review
This document contains examples of probability calculations for events such as coin tosses, card draws from a deck, and committee selections. It also includes examples calculating conditional probabilities, such as the probability of testing positive for diabetes given the accuracy of the test, and the probability of telling the truth given the result of a polygraph test.
Derivatives Lesson Oct 14
1. The document discusses distance-time and velocity-time graphs and their relationships. It defines acceleration as the derivative of velocity over time.
2. It provides an example distance-time function and asks to sketch the corresponding velocity-time graph. It also discusses how to determine if a function is increasing or decreasing based on the signs of its derivative.
3. The document ends by giving a velocity function and asking to graph its derivative and determine where the original function is increasing, where it is concave up, and to sketch a possible graph based on an initial value.
House Costs Oct 14
The document outlines various costs involved in purchasing a home, including:
- Down payment, with larger down payments resulting in lower long-term costs due to reduced interest on a smaller mortgage.
- Other costs like inspections, appraisals, application and legal fees, taxes, insurance for high-ratio mortgages, adjustments at closing.
- Land transfer tax is calculated based on a sliding scale of the home purchase price.
- Sellers must be reimbursed for prepaid property taxes from possession date to tax year-end.
Recommended
Lesson 08 Mar 23
Absolute value refers to the distance from zero on the number line. There are two values, -2 and 2, that have an absolute value of 2. Absolute value can never be negative because distance cannot be negative. The document provides examples of using absolute value to solve equations.
Feb 18 2009
Net worth is calculated by taking total assets and subtracting total liabilities. Assets include things owned that have monetary value, and are classified as liquid, semi-liquid, or non-liquid depending on how easily they can be converted to cash. Liabilities are amounts owed, and include short-term debt that should be paid off within a year, and long-term debt used to finance long-term investments. Sheenqui meets with her financial advisor to determine her net worth based on her home worth $210,000 with a $152,000 mortgage, $35,000 in RRSPs, $734 in her chequing account but owing $12,500 on her credit card, and a $15
Quadratic Lesson 6
This document contains four separate problems:
1) Calculating maximum revenue from software sales at different price points
2) Finding the maximum height and time to reach it for a projectile shot straight up
3) Determining the maximum rectangular area that can be enclosed by 120m of fencing with one side being a wall
4) Repeated question about finding the maximum rectangular area that can be enclosed by 120m of fencing with one side being a wall
03 Probability Mar4
The document discusses counting principles and examples of counting problems:
1) There are 12 possible outfits that can be made by combining 3 pairs of pants with 4 shirts.
2) The fundamental principle of counting states that if there are M ways to do the first thing and N ways to do the second, then there are M x N ways to do both.
3) Examples include counting possible phone numbers and combinations of letters to make words.
Probability Review
This document contains examples of probability calculations for events such as coin tosses, card draws from a deck, and committee selections. It also includes examples calculating conditional probabilities, such as the probability of testing positive for diabetes given the accuracy of the test, and the probability of telling the truth given the result of a polygraph test.
Derivatives Lesson Oct 14
1. The document discusses distance-time and velocity-time graphs and their relationships. It defines acceleration as the derivative of velocity over time.
2. It provides an example distance-time function and asks to sketch the corresponding velocity-time graph. It also discusses how to determine if a function is increasing or decreasing based on the signs of its derivative.
3. The document ends by giving a velocity function and asking to graph its derivative and determine where the original function is increasing, where it is concave up, and to sketch a possible graph based on an initial value.
House Costs Oct 14
The document outlines various costs involved in purchasing a home, including:
- Down payment, with larger down payments resulting in lower long-term costs due to reduced interest on a smaller mortgage.
- Other costs like inspections, appraisals, application and legal fees, taxes, insurance for high-ratio mortgages, adjustments at closing.
- Land transfer tax is calculated based on a sliding scale of the home purchase price.
- Sellers must be reimbursed for prepaid property taxes from possession date to tax year-end.
Mortgage Payments Oct 13
Jomer purchased a home for $210,000 with a $45,000 down payment, financing the remaining $165,000 with a 20-year, 4.25% mortgage. To calculate Jomer's equity after 5 payments, his principal, interest, and new balance must be calculated for each payment period and totaled with his original down payment and equity.
Verify April 9 09
The document contains several geometry problems: finding the coordinates of the fourth vertex of a rectangle given three vertices; calculating the perimeter and area of a rectangle; determining if a triangle is a right triangle using the Pythagorean theorem; showing a quadrilateral is a parallelogram; finding the value of x where two lines intersect perpendicularly; finding the value of r where two lines are parallel; and explaining why two sides of two different figures are equal length. It concludes with instructions to complete the rest of exercise 23.
Circles Lesson 1 April 27 09
This document discusses concepts in circle geometry including secants, chords, diameters, perpendicular bisectors, and using properties of circles to solve problems involving lengths and distances. It provides examples of calculating lengths of line segments and widths using information about circles, chords, radii, and positions within circles. Formulas for perpendicular bisectors are presented along with practice problems involving finding lengths and distances related to circles.
Counterexample May 14 2009
The document discusses counterexamples and how they can disprove conjectures or general statements. It provides examples of counterexamples, such as a rectangle with an odd perimeter disproving the conjecture that a rectangle's perimeter can never be odd. It also notes that only one counterexample is needed to prove a conjecture false.
Normal Curve May 13 2009
This document contains test score data from a Grade 10 class with a mean of 15.75 and standard deviation of 5.52. It asks what percentage of students scored over 21.27 and if there were 32 students, how many would score over 21.27. It also provides data on average manufacturing wages and robin egg weights that are used to calculate percentages and values based on normal distributions.
Simple Interest May 11 09
Gyan invested $5000 at an interest rate of 5.25% for 3 years. The document provides the simple interest formula and uses it to calculate the interest earned by Gyan. It also calculates the interest Jen will pay for borrowing $7000 at 18.5% for 3 months and determines how long it will take Goitom to earn $1200 interest by investing $10000 at 7.75% interest.
June 2000 Exam Review
This document provides a review for an S3 Pre-Calculus exam from June 2000. It mentions central angle and inscribed angles in triangles. If a triangle is not equilateral, then its three angles are not congruent. It wishes all students good luck on the exam.
Feb 19 2010
This document discusses trigonometric functions and their derivatives. It defines the derivatives of arcsine, arccosine, and arctangent as 1/sqrt(1-x^2), -1/sqrt(1-x^2), and 1/(1+x^2) respectively. It also mentions secant squared as the derivative of arccosine and exercises involving derivatives and antiderivatives of trigonometric functions.
Circles Lesson 5 May 01 09
A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. The document discusses properties of cyclic quadrilaterals including that opposite angles are supplementary and exterior angles equal interior opposite angles. It also notes that any polygon can be divided into (n - 2) triangles and the sum of interior angles of an n-sided polygon is (n - 2) x 180 degrees.
Polynomials Grade 10
This document provides instructions on how to multiply, divide, and factor polynomials. It discusses:
1) Multiplying polynomials by distributing terms and using FOIL for binomials.
2) Dividing polynomials using long division.
3) Factoring polynomials using grouping, finding two numbers whose product is the constant and sum is the coefficient, and recognizing difference of squares.
Mar 2 Ambiguous Triangles
This document contains information about ambiguous triangles and an exercise problem. It provides three triangles with the same side lengths but different angle measures, indicating they are ambiguous triangles. It also shows a triangle PQR with one angle and side lengths provided and directs the reader to solve for it. Finally, it lists the question numbers that are part of Exercise 10.
Lindsey LOR.docx
Lindsey is a highly motivated and capable individual with strong technical skills and a passion for success that inspires others. Her professionalism and business skills make her an above average candidate. Her former employer attests to Lindsey's skills and character and is available to provide further assistance if needed.
Come giocare a Giochi Poker Online?
Il poker è uno dei più popolari giochi di carte che vengono effettuati in tutto il mondo. È davvero un gioco interessante. Tuttavia, ci sono diverse varianti del gioco. Queste varianti sono giocati in diverse parti del mondo come draw poker, stud poker e poker a carte comunitarie. Tra questi diversi tipi di gioco di poker draw poker è più comune.
PR1 assignment
This document discusses genre theory and film analysis through examining several films. It introduces three genre theorists - Steve Neale, Daniel Chandler, and Nick Lacey - and their perspectives on genres and elements of films. It then analyzes several films, including Star Wars, Central Intelligence, Leon, Mean Girls, The Hateful Eight, Kill Bill, The Nightmare Before Christmas, Edward Scissorhands, Napoleon Dynamite, and Shanghai Noon, discussing their narratives, characters, settings, and other components based on Lacey's framework and applying concepts of auteur theory.
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Doug's Truck project
The document summarizes work done over two summers to restore a truck cab. It describes picking up the cab in Detroit to replace the original, taking out the old cab, sandblasting and priming the cab and frame, doing bodywork like installing a new floor, and finally lifting the restored cab onto the frame.
Lesson 4 Apr 8 2010
Dave needs a new computer for university costing $3,294 before taxes. Financing is available at 18.99% compounded monthly over 48, 36, or 24 months. The monthly payments and total paid are calculated for each term. Daniel can also lease the same computer for $106.92/month over 48 months, $132.32/month over 36 months, or $182.88/month over 24 months. The document then provides information about leasing, including what costs make up monthly lease payments and details that would be in a lease agreement.
Lesson 2 Apr 6 2010
The document discusses various interest rates and compounding periods for investments, savings accounts, and credit cards, and uses calculations to determine future values, effective interest rates, and the best investment options based on interest rates and compounding frequencies. Formulas like the Rule of 72 are presented for estimating doubling times given interest rates.
Lesson 3 Apr 7 2010
The monthly payments and total amount paid will increase as the loan term decreases from 48 months to 36 months to 24 months due to the interest being applied over a shorter period of time.
Lesson 1 Apr5 2010
The document defines key terms and concepts related to circles and their equations. It explains that a circle consists of points equidistant from a fixed center point, and defines the radius as the distance from the center to any point on the circle. It provides the standard equation for a circle with center at the origin, and notes that the standard form includes variables h and k to indicate the center coordinates and r for the radius. It also describes a second form for the circle equation that can be converted to standard form by completing the square.
Lesson 1 Apr 5 2010
This document discusses personal finance concepts like the time value of money and compound interest. It provides the basic formulas for calculating future value (FV), present value (PV), interest rate (I%), number of periods (N), principal (P), payments (PMT), periodic interest rate (r), number of compounding periods per year (n), and time (t). The document works through examples of using these formulas to calculate things like how much money you will have after investing a principal amount over a period of time at a given interest rate.
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Mortgage Payments Oct 13
Jomer purchased a home for $210,000 with a $45,000 down payment, financing the remaining $165,000 with a 20-year, 4.25% mortgage. To calculate Jomer's equity after 5 payments, his principal, interest, and new balance must be calculated for each payment period and totaled with his original down payment and equity.
Verify April 9 09
The document contains several geometry problems: finding the coordinates of the fourth vertex of a rectangle given three vertices; calculating the perimeter and area of a rectangle; determining if a triangle is a right triangle using the Pythagorean theorem; showing a quadrilateral is a parallelogram; finding the value of x where two lines intersect perpendicularly; finding the value of r where two lines are parallel; and explaining why two sides of two different figures are equal length. It concludes with instructions to complete the rest of exercise 23.
Circles Lesson 1 April 27 09
This document discusses concepts in circle geometry including secants, chords, diameters, perpendicular bisectors, and using properties of circles to solve problems involving lengths and distances. It provides examples of calculating lengths of line segments and widths using information about circles, chords, radii, and positions within circles. Formulas for perpendicular bisectors are presented along with practice problems involving finding lengths and distances related to circles.
Counterexample May 14 2009
The document discusses counterexamples and how they can disprove conjectures or general statements. It provides examples of counterexamples, such as a rectangle with an odd perimeter disproving the conjecture that a rectangle's perimeter can never be odd. It also notes that only one counterexample is needed to prove a conjecture false.
Normal Curve May 13 2009
This document contains test score data from a Grade 10 class with a mean of 15.75 and standard deviation of 5.52. It asks what percentage of students scored over 21.27 and if there were 32 students, how many would score over 21.27. It also provides data on average manufacturing wages and robin egg weights that are used to calculate percentages and values based on normal distributions.
Simple Interest May 11 09
Gyan invested $5000 at an interest rate of 5.25% for 3 years. The document provides the simple interest formula and uses it to calculate the interest earned by Gyan. It also calculates the interest Jen will pay for borrowing $7000 at 18.5% for 3 months and determines how long it will take Goitom to earn $1200 interest by investing $10000 at 7.75% interest.
June 2000 Exam Review
This document provides a review for an S3 Pre-Calculus exam from June 2000. It mentions central angle and inscribed angles in triangles. If a triangle is not equilateral, then its three angles are not congruent. It wishes all students good luck on the exam.
Feb 19 2010
This document discusses trigonometric functions and their derivatives. It defines the derivatives of arcsine, arccosine, and arctangent as 1/sqrt(1-x^2), -1/sqrt(1-x^2), and 1/(1+x^2) respectively. It also mentions secant squared as the derivative of arccosine and exercises involving derivatives and antiderivatives of trigonometric functions.
Circles Lesson 5 May 01 09
A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. The document discusses properties of cyclic quadrilaterals including that opposite angles are supplementary and exterior angles equal interior opposite angles. It also notes that any polygon can be divided into (n - 2) triangles and the sum of interior angles of an n-sided polygon is (n - 2) x 180 degrees.
Polynomials Grade 10
This document provides instructions on how to multiply, divide, and factor polynomials. It discusses:
1) Multiplying polynomials by distributing terms and using FOIL for binomials.
2) Dividing polynomials using long division.
3) Factoring polynomials using grouping, finding two numbers whose product is the constant and sum is the coefficient, and recognizing difference of squares.
Mar 2 Ambiguous Triangles
This document contains information about ambiguous triangles and an exercise problem. It provides three triangles with the same side lengths but different angle measures, indicating they are ambiguous triangles. It also shows a triangle PQR with one angle and side lengths provided and directs the reader to solve for it. Finally, it lists the question numbers that are part of Exercise 10.
Lindsey LOR.docx
Lindsey is a highly motivated and capable individual with strong technical skills and a passion for success that inspires others. Her professionalism and business skills make her an above average candidate. Her former employer attests to Lindsey's skills and character and is available to provide further assistance if needed.
Come giocare a Giochi Poker Online?
Il poker è uno dei più popolari giochi di carte che vengono effettuati in tutto il mondo. È davvero un gioco interessante. Tuttavia, ci sono diverse varianti del gioco. Queste varianti sono giocati in diverse parti del mondo come draw poker, stud poker e poker a carte comunitarie. Tra questi diversi tipi di gioco di poker draw poker è più comune.
PR1 assignment
This document discusses genre theory and film analysis through examining several films. It introduces three genre theorists - Steve Neale, Daniel Chandler, and Nick Lacey - and their perspectives on genres and elements of films. It then analyzes several films, including Star Wars, Central Intelligence, Leon, Mean Girls, The Hateful Eight, Kill Bill, The Nightmare Before Christmas, Edward Scissorhands, Napoleon Dynamite, and Shanghai Noon, discussing their narratives, characters, settings, and other components based on Lacey's framework and applying concepts of auteur theory.
130424 lars bäckström metodicum
"Vad anser arbetsmarknadens parter?"
Dokumentation från konferensen Sociala medier och gränsen mellan privatliv och arbetsliv - arbetsrätt och praktik
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Doug's Truck project
The document summarizes work done over two summers to restore a truck cab. It describes picking up the cab in Detroit to replace the original, taking out the old cab, sandblasting and priming the cab and frame, doing bodywork like installing a new floor, and finally lifting the restored cab onto the frame.
Lesson 4 Apr 8 2010
Dave needs a new computer for university costing $3,294 before taxes. Financing is available at 18.99% compounded monthly over 48, 36, or 24 months. The monthly payments and total paid are calculated for each term. Daniel can also lease the same computer for $106.92/month over 48 months, $132.32/month over 36 months, or $182.88/month over 24 months. The document then provides information about leasing, including what costs make up monthly lease payments and details that would be in a lease agreement.
Lesson 2 Apr 6 2010
The document discusses various interest rates and compounding periods for investments, savings accounts, and credit cards, and uses calculations to determine future values, effective interest rates, and the best investment options based on interest rates and compounding frequencies. Formulas like the Rule of 72 are presented for estimating doubling times given interest rates.
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The monthly payments and total amount paid will increase as the loan term decreases from 48 months to 36 months to 24 months due to the interest being applied over a shorter period of time.
Lesson 1 Apr5 2010
The document defines key terms and concepts related to circles and their equations. It explains that a circle consists of points equidistant from a fixed center point, and defines the radius as the distance from the center to any point on the circle. It provides the standard equation for a circle with center at the origin, and notes that the standard form includes variables h and k to indicate the center coordinates and r for the radius. It also describes a second form for the circle equation that can be converted to standard form by completing the square.
Lesson 1 Apr 5 2010
This document discusses personal finance concepts like the time value of money and compound interest. It provides the basic formulas for calculating future value (FV), present value (PV), interest rate (I%), number of periods (N), principal (P), payments (PMT), periodic interest rate (r), number of compounding periods per year (n), and time (t). The document works through examples of using these formulas to calculate things like how much money you will have after investing a principal amount over a period of time at a given interest rate.
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The document contains 6 math problems: 1) Find the value of k that gives equal roots of the quadratic equation f(x)=x^2 + 4x + k. 2) Determine the nature of the roots of the quadratic equation 13x^2 - 15x = 4. 3) Solve the equation x - 3 = 2 for x. 4) Find the quadratic equation with integer coefficients given the roots 3 + 9i and 10. 5) Solve the equation x + 8 = 10x - 81 for x. 6) Solve the equation x/3 = 6 - 2x for x.
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This document discusses using the shell method to calculate volumes of solids generated by revolving regions between functions around axes. It provides examples of revolving the function f(x)=x^2 around the x-axis and y-axis, and revolving the region between f(x)=0.5x^2-2x+4 and g(x)=4+4x-x^2 around both the x-axis and y-axis. Instructions are given to use the shell method to find each volume.
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This document discusses solving rational equations by finding the least common denominator, combining like terms, and then solving the resulting equation for the variable. It contains an exercise with questions 1, 6, and 7 about solving rational equations.
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Lesson 06 Mar 19
An equation containing a radical is called a radical equation. This document refers to exercises 18 questions 1 through 5 and also questions 8 and 9 which involve solving or working with radical equations. The goal is to extract the key essential information about radical equations from the given document in 3 sentences or less.
Vectors 02 Mar 19
The document provides information about vector addition and trigonometric equations. It discusses drawing scale diagrams to represent vectors and their directions and magnitudes. Methods for adding vectors are described, including the triangle method used when vectors are tip-to-tail and the parallelogram method used when vectors are tail-to-tail. An example of each method is worked out to find the resultant vector.
Lesson 02 Appsof Integrals Mar19
The document contains instructions to find the volumes of solids generated by revolving regions bounded by graphs about axes. It gives the volume as 183.981 when revolving the region between the graphs y = 2x + 4 and y = ex about the x-axis. It also gives the volumes as 7/15 when revolving the region between y = x^2 + 1 and y = x + 1 about the x-axis and 4/5 when revolving the same region about the line y = -1.
Vectors 02 Mar 19
The document provides information about vector addition and trigonometric equations. It discusses drawing scale diagrams to represent vectors and their directions and magnitudes. Specific examples are given of adding vectors using the triangle method when vectors are tip-to-tail and the parallelogram method when they are tail-to-tail. Measurements from the scale diagrams along with a protractor can be used to find the resultant vector.
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Lesson 05 Mar 18
The document describes a problem where a rectangular piece of cardboard has a length longer than its width. Square pieces are cut from the corners and the sides are folded up to form a box with a volume of 450 cm3. The original length of the cardboard was 16 cm and the width was 11 cm.
Lesson 04 Mar 17
This document discusses methods for finding the roots of quadratic equations. It introduces the discriminant formula to determine the type of roots, and explains how to use the quadratic formula to find the exact values of the roots. It also shows how to write a quadratic equation given the sum and product of its roots, or given two integer roots.
Lesson 01 Appsof Integrals Mar17
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