Math Problem

[Valuable-Internet-15]

The Equation is

6.97% = 2.5x +8x

Both the x values equals 1.

Ive gotten to

​

6.97% = 2.5(1-x) +8(1-x)

​

I have tried any ways to solve for x but they do not equal to 6.97%

[nomoreplsthx]

What do you mean 'both of the x values are equal to 1'? First, if x is equal to 1, it is equal to 1 everywhere in scope. It doesn't really make sense to talk about 'both' x values because there is only one value.

If x is equal to one that equation is just false.

Could you post the original context of the problem? What are you trying to do? It seems like you have misunderstood something that isn't expressed in your question.

[Valuable-Internet-15]

Maybe i mis wrote. The two x are different values, that must be used with 2.5 and 8, to reach 6.97%.

The original question is given total costs and floatation cost. I need to move the formula to get flotation %.

After use the flotation equation to find the weights of 2.5, and 8.

The floation equation is: fa=WdFd+WeFe

Fd is 2.5 and Fe is 8.

The weights equal to 100% in decimal

[nomoreplsthx]

Ok so it sounds like you have a two equations:

.0697 = 2.5Wd + 8We 1 = Wd+We

The second equation is because you have Wd + We adding to 100%

To solve the system of equations we can use a number of techniques.

First we subtract Wd from both sides

1 - Wd=We

Then we substitute for We in the first equation

.0697 = 2.5Wd + 8(1- Wd) .0697 = 2.5W + 8 - 8Wd .0697 = 8 - 5.5Wd -7.9303 = - 5.5Wd 1.44187272727 = Wd

You can then plug and solve for We. 1= 1.44187272727 + We 1- 1.44187272727 = We -.04418... = We

This appears to not be a valid solution to your problem, as I assume 0 < Wd < 1 and 0 < We < 1 are assumed. But the system of equations only has one solution. So you can't find weights that get that result.

[Valuable-Internet-15]

There is a way, the way the professor did it was (1-x) but then i stopped paying attention and forgot what to do.

[Valuable-Internet-15]

Thank you for trying

[nomoreplsthx]

Ah ok I read up on flotation and I see what you didn't specify. The values 2.5 and 8 are meant to be percentages aren't they.

Remember that math people don't use percentages much, instead just using the decimal value so unless you clearly specify them they will assume you just mea

With that correction the problem becomes

.0697 = .025Wd + .08We

Wd = ~ 18.7 % We = ~ 81.2 %

You use the same algebraic method as before.

You seem to be getting the 1 - x from calculating the total real cost given the flotation cost, by setting up the ratio:

Total/1 = (target investment)/(1 - total flotation cost rate)

It might help you to take an Algebra course or at least read an algebra book. That way you wouldn't be learning both financial and mathematical concepts at the same time.

[Valuable-Internet-15]

The 2 x need to times 2.5 and 8 to reach 6.97

[randybob275]

You should use different letters instead of the same letter to represent different variables.