Melody

Why do you need help fast?  Are you doing a test or something?

Well there you go, we both learned something.   

If you sign up your get higher priority with answerers.

I know you were answered quicklly this time but it doesn'ty always work that way. :)

the perimeter of a pentagon is made up of 5 consecutive integers. the perimeter is 460. what is the are consecutive numbers?

let the integers be

a,a+1,a+2,a+3,a+4

so

5a+10=460

now solve it :)

Thanks guest - no other answer read the question properly.

For a Perpetuity to work the interest paid must equal the regular payment so that  the principal never decreases.

you just have to be a little careful about when the first payment begins. ...

Thanks Guest

I learned from your answer   :)

I will just rewrite your answer in LaTex

\(\displaystyle\lim_{x\rightarrow \infty} \;\sqrt{9x^2+x}-3x\\ =\displaystyle\lim_{x\rightarrow \infty} \;\frac{\sqrt{9x^2+x}-3x}{1}\times\frac{\sqrt{9x^2+x}+3x}{\sqrt{9x^2+x}+3x}\\ =\displaystyle\lim_{x\rightarrow \infty} \;\frac{(9x^2+x)-9x^2}{\sqrt{9x^2+x}+3x}\\ =\displaystyle\lim_{x\rightarrow \infty} \;\frac{x}{\sqrt{9x^2+x}+3x}\\ =\displaystyle\lim_{x\rightarrow \infty} \;\frac{x\div x}{(\sqrt{9x^2+x}+3x)\div x}\\ =\displaystyle\lim_{x\rightarrow \infty} \;\frac{1}{\sqrt{\frac{9x^2+x}{x^2}}+3}\\ =\displaystyle\lim_{x\rightarrow \infty} \;\frac{1}{\sqrt{9+\frac{1}{x}}+3}\\ =\frac{1}{\sqrt{9+0}+3}\\ =3+3\\ =6 \)

Thanks Ginger,

That is really fabulous. I am as pleased as punch.  Or maybe that is a pleased as Ale :))

That is a fabulous tribute.    

I am very pleased that LancelotLink did not take his personal chef with him.  

Your Daiquiri creation tastes divine, it has exactly the right amount of imperial minims ! :)

Thanks guest, I just want to play to  :)

Suppose the ratio of Lev's age to Mina's age is 1:2 and the ratio of Mina's age to Naomi's age is 3:4.
What is the ratio of Lev's age to Naomi's age? Give your answer in simplest form.

So the ratio of Lev to Naomi is   3:8

When six basketball players are about to have a​ free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical​ order? Assume each player has a different name

There are 6! ways to order 6 people.  Only one of those will be in order A to z

so the probability is     1/6!    =    1 / 720

ok you are right       

- the maths to do it without a program like Wolfram Alpha would be very long and involved.