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What is continuous growth and decay?

Analyze puzzles and games that involve logical reasoning using problem-solving strategies

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Fundamental counting principle

Fundamental Counting Principle Involving Restrictions

Factorial notation

Path counting problems

Permutations

Combinations

Problems involving both permutations and combinations

Pascal's triangle

Pascal's Triangle

Pascal"s Triangle

Pascal"s triangle

Binomial theorem

Permutation vs. Combination

Critique viability of small business options considering expenses sales profit or loss

Taxes, discounts, tips and more

Discounts — Word Problem

Taxes — Word Problem

Percentage - Applying a Discount Price– Word Problem

Percentage - Applying a Discount Percent – Word Problem

Percentage - Applying a Tax Total – Word Problem

Percentage - Applying a tax Percent – Word Problem

Adding functions

Subtracting functions

Multiplying functions

Dividing functions

Operations of Functions – In a Nutshell

Operations with functions

Solve problems using the sine law and cosine law excluding the ambiguous case

Unit circle

Law of sines

Ambiguous case: SSA triangles

Law of cosines

Applications of the sine law and cosine law

Converting between degrees and radians

Trigonometric ratios of angles in radians

Radian measure and arc length

Solve problems involving triangles quadrilaterals and regular polygons

Similar triangles

Similar polygons

Conics - Parabola

Conics - Circle

Conics - Ellipse

Conics - Hyperbola

Solve problems involving the purchase and maintenance of a house

What is linear programming?

Finding Optimal Values Given Constraints In Slope-Intercept Form

Finding Optimal Values Given Constraints In Standard Form

Linear programming word problems

Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

Applications of rational equations

Exponential growth and decay by a factor

Exponential growth and decay by percentage

Finance: Compound interest

Finance: Compound Interest

Continuous growth and decay

Finance: Future value and present value

Applications of inequalities

Analyze and interpret problems that involve probability

Geometric series

Geometric Series

Infinite geometric series

Introduction to probability

Identify the Probability — Word Problem

Compound Probability

Reading Probability Models

Probability

Organizing outcomes

Calculating Outcomes

Probability of independent events

Comparing experimental and theoretical probability

comparing experimental and theoretical probability

Grade 12 Essential Mathematics (40S) - Half Course 6

Develop critical thinking skills

Develop an understanding of business finance

Develop spatial sense involving polygons

Develop an understanding of housing costs

Develop critical thinking skills related to uncertainty

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Ex. 1:

Ex. 2:

We now have a better understanding of how the compounding frequency will affect the amount we wish to grow or decay. But what if we are dealing with something, say, that compounds every minute, second, or even millisecond? This concept is also known as continuous compounding. In this section, we will see a slight variation of an exponential growth and decay formula that models continuous exponential growth/decay.

Continuous growth and decay in exponential and logarithmic functions

Continuous compound interest

Natural log: ln

Solving exponential equations with logarithms