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What is continuous growth and decay?

Solve problems involving compound interest in financial decision making

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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

Finance: Compound interest

Finance: Compound Interest

Continuous growth and decay

Logarithmic scale: dB scale

Finance: Future value and present value

Analyze costs and benefits of renting, leasing and buying

Marginal profit, and maximizing profit & average profit

Consumer and producer surplus

Continuous money flow

Analyze an investment portfolio in terms of interest rate, rate of return, and total return

Demand, revenue, cost & profit

Marginal revenue, and maximizing revenue & average revenue

Marginal cost, and minimizing cost & average cost

Analyze puzzles and games involving numerical and logical reasoning using problem-solving strategies

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

Frequency distribution and histograms

Solve problems involving the application of set theory

Set notation

Understanding How to Use Set Notation

Set builder notation

Intersection and union of 2 sets

Intersection and Union of 2 Sets

Intersection and union of 3 sets

Intersection and Union of 3 Sets

Solve problems involving conditional statements

Multiplication rule for 

Multiplication rule for "AND"

Multiplication Rule for "AND"

Conditional probability

Law of total probability

Law of Total Probability

Probability of a randomly selected employee meeting a sales target

Probability of a randomly selected driver being involved in an accident

Probability of a randomly selected customer making a purchase

Probability of a randomly selected person being overweight

Bayes' rule

Bayes" Rule

Bayes rule

Bayes" rule

Bayes' Rule

Research and give a presentation on a topic involving the application of mathematics

Bivariate, scatter plots and correlation

Regression analysis

Equation of the best fit line

Interpret and assess the validity of odds and probability statements

Addition rule for 

Addition Rule for "OR"

Addition rule for "OR"

Probability involving permutations and combinations

Solve problems involving the probability of mutually exclusive and non-mutually exclusive events

Probability distribution - histogram, mean, variance & standard deviation

Binomial distribution

Binomial Distribution

Mean and standard deviation of binomial distribution

Interpreting Mean and Standard Deviation of Binomial

Solve problems involving the probability of two events

Introduction to normal distribution

The Normal Distribution and the 68-95-99.7 Rule

Using "invNorm" to Solve Normal Distribution Problems

Normal distribution and continuous random variable

Z-scores and random continuous variables

Solve problems involving the fundamental counting principle

Fundamental counting principle

Fundamental Counting Principle Involving Restrictions

Factorial notation

Path counting problems

Solve problems involving permutations

Permutations

Permutation vs. Combination

Solve problems involving combinations

Combinations

Problems involving both permutations and combinations

Pascal's triangle

Pascal's Triangle

Pascal"s Triangle

Pascal"s triangle

Represent data using polynomial functions of degree ≤ 3 to solve problems

Polynomial functions

Recognizing a Polynomial Function

Determining the equation of a polynomial function

Applications of polynomial functions

Represent data using exponential and logarithmic functions to solve problems

Graphing exponential functions

Graphing transformations of exponential functions

Finding an exponential function given its graph

Graphing logarithmic functions

Finding a logarithmic function given its graph

Represent data using sinusoidal functions to solve problems

Sine graph: y = sin x

Cosine graph: y = cos x

Tangent graph: y = tan x

Graphing transformations of trigonometric functions

Determining trigonometric functions given their graphs

Grade 12

Financial Mathematics

Logical Reasoning

Mathematical Research Project

Probability

Relations and Functions

math

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