How does anybody know that Pi=3.1415926...?

A derivation of the value of Pi is shown (you need to know the Law of Cosines from trigonometry).

Cartesion and polar form

Expess in cartesian and polar form notations the phasors for the following quantities.Assume that the frequency of the following oscillations is 50 Hz a) i = 10sin wt b) 5sin (wt-pi/3) c) 40sin(wt+pi/6)

Understanding the concept of an average rate.

What is an average rate and the formula for it?

Proofs using the mod function.

Prove that ((ax mod M) +b) mod M = (ax + b) mod M when M is a positive integer, and a, b and x are nonnegative integers.

Finding an equation that equals a set number.

Using the numbers 2,7,8, and 9 what is an equation that equals 24?

Calculating the number of possibilities using factorials and combinations.

A concert to raise money for an economics prize is to consist of 5 works: 2 overtures, 2 sonatas, and a piano concerto. a) In how many ways can the program be arranged? b) In how many ways can the program be arranged if an overture must come first?

Primes and divisibility word problem

When the accountants for lose-a-digit Computer, Inc. had finished preparing their annual budget, they presented the final figures to the president, I.M. Smart. "It looks like a good year," he exclaimed. "The amount of the budget just happens to be the smallest number of cents (other than one cent) that is a perfect square, a per ...continues

Explain Simple Interest with formulae and examples.

Explain simple interest with derivation of relevant formulae and a sample calculation.

Explanation of Compound and Continuously Compounding Interest with examples.

Please explain Compound and Continuously Compounding Interest with examples. Also, explain the difference between simple and compound interest with an example.

Calculating the percentage of a number.

What is 66% of 21?