It has pretty much everything to the problem!

]]>Try here first:

]]>Point L features prominently in relation to the congruent triangles used to prove that H is CD's midpoint.

]]>How do you do?

Tres bien, mon ami. But you've been a member since 31st March, so isn't this a bit overdue?

The question is rarely used in England now. People usually say "How are you?" They don't usually expect an answer

Bob

]]>It is my job to maintain the forum to the best of my ability. I sometimes combine posts when it improves readability. Instead of a long string of consecutive posts where it is easy to miss one, one compact one is much easier to follow.

Also, on most forums of a serious nature double posting ( or posting to yourself as it is called) is not allowed or is discouraged. This is a good rule and violations of it have led to arguments in here in the past.

Still, I do not believe in being a strict enforcer of the rules but when I do it please understand that there was nothing personal.

]]>There is a popular formula, say you wanted to know the number of trailing zeroes in 10000!. You just keep dividing by powers of 5.

]]>Bob

]]>You need to explain what these curves actually mean

So you have a number n, that is equal to p*q. You don't know what p and q are, but you know n, and you know that both p and q are primes.

Say that we consider p and q to be the short sides of a right angled triangle. Then n/2 would be area of the triangle, and we know that one angle is 90.

If we where to find another angle, p, q, or the hypotenuse, we could figure out what p and q are!

The plot is just all possible values for the angles:

We can say that:

1) tan(a) = p/q

2) T = (p*q)/2

which means that

3) q = 2T/p

and if we substitute this into (1), we get:

4) tan(a) = p/(2T/q) = p^2/2T

and: p^2 = 2T * tan(a)

pi/180 is just to convert from angles to radians for geogebra, and the green curve is: f(x) = sqrt ( n * tan((pi*x)/180) )

]]>This makes sense and it appears to be the way you have been taught about percentages. So I can understand that it is a bit of a shock to discover that others are being taught differently.

I did an internet search for a definition of percentage. You can try this yourself. I followed up just a few and found they were all in agreement. Per cent means out of 100. That's where the word comes from. So what you are calling the 'base' is always 100. You don't get to choose something else as the base. Percent is just a way of expressing a fraction is a stylised way. It makes comparison easier.

eg.

John got 65/80 in a math exam and 35/40 in a science exam. In which did he do better ?

Note that for example

So a percentage and a fraction are interchangeable and as all fractions can be written as decimals, that means decimals and percentages are also interchangeable.

It's a lot easier to change between a decimal and a percentage because you only have to move the decimal point two places.

Bob

]]>Welcome to the forum.

In the UK, if you buy something on a credit card you get a monthly statement of what you owe along with a required minimum payment. Any outstanding balance has interest added at a published monthly rate. If you pay off the whole debt, then that's it, no more to pay for the next 26 years. Rates are not the lowest if you intended to extend the balance over that period. Are you talking about a mortgage ? The way interest rates are published for this are different in the US from the UK so there are two separate formulas.

It would help if you would post more details. I'm not asking you to reveal your personal finances but you could make it clearer why you want the 26 years figure and whether there is to be a regular repayment rather than just letting the balance grow.

Have a look at this:

http://www.mathsisfun.com/money/compoun … iodic.html

Bob

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