Ok I need algebra 1 help..

.jr

.jr

Active member
No Im not fucking stupid, I just havent seen this stuff in 6 years and once you learn higher level math you tend to forget the easy shit ha..

Im trying to help this kid out, but I can't even get it so Im coming to you guys so I dont look as stupid as I really am. Heres the two questions that I can't get. The first one I think Im close but I believe Im missing a step, the second question we were never taught so Im not even sure where to start.



10. A group of stockholders are to elect a president, vice-president, secretary and a treasurer from 6 board members who qualify. How many different ways can the officers be elected?

I think its somewhere close to 360, I just take 6 options for the first office, times 5 for the second, times 4, times 3 to get 360 but this seems to easy, where am I messing up?

11. If U equals the Universal set which is equal to {1,2,3,4,5} and if X = {3,5}, Y = {1,2,3} and Z = {2,3,4}, find the following:

1. X n Z

2. X u (Y n Z)

3. X u Y

Never taught this, and I have no idea how to start..

No Im not asking you to do my homework, since this isnt mine. Kid came to me for math help and I can do all but these two so please help me help him.
 

11. If U equals the Universal set which is equal to {1,2,3,4,5} and if X = {3,5}, Y = {1,2,3} and Z = {2,3,4}, find the following:
1. X n Z
2. X u (Y n Z)
3. X u Y
1 = (3)2 = (1,3,5) (i think)3 = (1,2,3,5)
those should be right
 
Its been a while since I did probability stuff so this may or may not be right.

10. A group of stockholders are to elect a president, vice-president, secretary and a treasurer from 6 board members who qualify. How many different ways can the officers be elected?

(6*5*4*3) = 360 ways of picking 4 people.

since order matters you must multiply that by (4*3*2*1) = 24 ways of arranging those 4 people selected.

ANS: 360*24 = 8640.

11. If U equals the Universal set which is equal to {1,2,3,4,5} and if X = {3,5}, Y = {1,2,3} and Z = {2,3,4}, find the following:

1. X n Z (numbers in both x AND z)

ANS: 3

2. X u (Y n Z) (numbers in x OR y AND z)

ANS: 2,3,5

3. X u Y (numbers in x OR y)

ANS: 1,2,3,5
 
It depends on your interpretation of #10 (poorly written question)if by ways of electing they mean who is elected when and in what order they are elected than youre rightif it only means total possible outcomes for the job positions after entire election process then its just 360
 
hence why I have forgotten all of this shit after just 5 years..

thanks bepo and plus K to you guys..

 
by order matters I meant there are 4 unique slots, not the order they're picked just to clarify. Since each position is different, if you have 4 people and need to put them in 4 different positions the total combinations is 4*3*2*1 = 24. Theres 360 ways of picking those 4 people, each set of 4 being different, and thus each set has 24 ways of arranging them in 4 positions.
 
I'm pretty sure this is right. I don't know about the first one though. Like he implied, the n means AND (in both) and the u means OR (in at least one of the two).
 
I dont think thats right.. my roommate said something about dividing as well, but this way would have 30 possible outcomes and thats not enough..
 
n is the intersection of the two sets. so whichever numbers are in both

u is the union of the two sets which is all the numbers in both sets
 
im pretty sure its right cos you have 6 people so 6 possible outcomes and 4 can only take place so it is 6! divide by 4!

( 3!=3*2*1)

we did one like this in class today and it was how i did it and got it right

 
also i forgot to ask but what level of maths is this e.g. high school or what ?

i am at college in england (which is like the last 2 years of high school) and we are doing this

 
exactly. i find the easiest way to remember is:

A n B: ones which are in both A n' B (like, A 'and' B abbreviated)

A u B: U as in union of the sets
 
everyone that helped got +K from me.. and he turned in the paper today so /thread..
 
fuck this kid came to me again, and this ones actually hard..

can someone explain to me how to do this problem..

1. A company requires the amount of $450,000 in ten (10) years to retire a bond issue. Assume they can earn 5 ½% interest compounded quarterly. What amount would they have to pay quarterly to be able to retire this debt in 10 Years?

 
The Compound Interest FormulaThe compound interest formula describes the total amount (including the initial amount) which you find in your bank account when all interest earned is put back (reinvested) to earn further interest, rather than being sent to you or being put aside - provided the interest rate is constant.

When you place an initial amount P into an account, it is called the principal. In a compound interest account the following happens. The money in your account grows to an amount A after n periods. (The number n here identifies the number of periods your money stays in the account without any withdrawals, or deposits, except for interest payments at the end of each period.) The amount A is given by the compound interest formula

A = P(1+i)n

In this formula, the interest rate per period is given by the quantity i. The formula should only be used when interest is compounded. Again, compounded means the interest is reinvested at the end of each period with no other deposits or withdrawals, Each interest payment deposited in your account then earns interest (rent from the bank) in the following periods.
 
we were talking about WWI today and I started to think about how to take over the world. Honestly, I couldnt do it. Its hard as shit
 
Hahaha holy shit, wtf class is this kid taking? This TVM problem.

The formula you need is as follows:

FV = C( ((1+r)^ t - 1) / r ), where FV is the future value of the debt they owe (the 450,000 they owe in 10 years), C is the cash flows they need to pay each period (the quarterly payments), r is the interest rate (the 5.5%), and t is the amount of periods you need (in this case 40, because its a quarterly payment over 10 years).

So, you have all of the information except for the quarterly cash flow, C.

450,000 = C(((1+.055)^40 - 1) / .055) ===> C = 3294.1545

So, the cash flow needed is $3294.15 quarterly.

 
hahaha i have no clue. im in algebra 2 as a freshman. youre right. once you get higher classes the easy stuff is hard
 
are you sure jordan?

I thought it was 450,000 (1+.055) ^ 40

I went with FV = p(1+i)^n but that ended up being 3830988.95 which is way to high
 
No, hes wrong. The company doesn't owe $446,632.72 per quarter (what his answer works out to when you solve for p).
 
alright this sounds much better, I see what I was doing wrong, but I have a different formula than you do.. why do you have t-1/r?
 
Haha it sucks writing formulas online like this because it's hard to read.

It's (((1+r)^t)-1)/r
 
Because you're dealing with annuities, which is a constant cash flow for a set period of time.

The formula you're using is for a lump sum payment.

For example, if you want to find out how much you need to put in a bank account that has an interest rate of 6% compounded annually to get 50,000 in 10 years, you would use that formula like this:

50,000 = p(1.06)^10

But that's a completely different situation, and a very simple formula.

Annuities have you paying a certain constant amount each time period (in this case, quarters). What you have already paid can gain interest as you work your way towards 10 years, and you never stop paying, and that is why the formula is way more complicated than the one you have.
 
Hmmm I haven't done this shit in a while, i guess I fucked up. My apologies.

What was I thinking, I know its close to something. you have p(1+ r/n)^nt

right?

Or what is that equation?
 
your completely right! probability has no practical usage, they figure out your chances of winning the lottery by guessing anyways....

idiot.
 
Wow this is ridiculous.. how the heck do you do this? I believe its somewhere along the same steps but compound daily?

2. Acme Corporation plans for Capital expansion in approximately 12 years. The amount they will need is $840,000. They plan to set up a Sinking Fund with interest earned at a rate of 5% compounded daily and payments to be made semiannually. What will their semiannual payments be?
 
This is the same formula, but you just need to show the effective interest rate over the 6 months.

I think the formula for finding the effective interest rate would be:

r = (1 + (.05/183))^183

I could be wrong though.

The use then same formula as before, just with the above interest rate and using 24 periods (because its semiannual payments over 12 years).
 
why is it 183? I figured I should use 180 since usually when compounding interest books make it easy and use 360 days in a year? I mean one half of the year will have 183 and the other 182?
 
Sorry, I forgot the "-1" at the end of the formula

It should be: r = (1 + (.05/183))^183 - 1

 
It doesn't really matter. I just used 183 because it's a little more precise than 180. It really doesn't matter though.
 
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