## Calculating the period of an investment

For calculations using the simple interest formula, we solve for n, the time period of an investment or loan, by simply rearranging the formula to make n the subject. For compound interest calculations, where n is an exponent in...

## How to determine of tangent (A – B) and tangent (A + B)

We can use the identity and the identities for sin (A + B) and cos (A + B) to write identities for tan (A + B) and tan (A – B). Tangent of (A + B) We would like...

## Determine sine ( A – B) and sine ( A + B) of trigonometric

We can use the cofunction identity sin =cos (90° – ) and the identities for cos (A – B) and cos (A + B) to derive identities for sin (A – B) and sin (A + B). Sine of...

## Finding the smallest positive integer from the fancy number

Finding the smallest positive integer from the fancy number Problem 2. A positive integer is called fancy if it can be expressed in the form where a1,a2, … , a100 are non-negative integers that are not necessarily distinct. Find...

## Reduce, add, subtract, multiply, and divide with fractions

Working with fractions is a very important foundation to algebra. Here we will briefly review reducing, multiplying, dividing, adding, and subtracting fractions. As this is a review, concepts will not be explained in detail as other lessons are. World...

## Add, Subtract, Multiply and Divide Positive and Negative Numbers

The ability to work comfortably with negative numbers is essential to success in algebra. For this reason we will do a quick review of adding, subtracting, multiplying and dividing of integers. Integers are all the positive whole numbers, zero,...