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Which Guest are you referring to?

Hello again Ginger,   

It is this statement where your logic fails

"The problem, now, is by subtracting 52/11400, it subtracts both wins.  So, what should the value be?"

Look at this simplified example

the number in A is  10+3=13

The number in B is 15+3=18

The number in both is 3

Then number altogether is  13+18-3 = 28

I had to subtract 3 because it had been added in twice :)

Thanks for the compliment Chris :)

Look here :  https://www.mathsisfun.com/whole-numbers.html

Thanks, Melody and Tiggsy......I'm never good at these probability things and your explanations were easy to see......

Thanks Tiggsy :)

I am always pleased when I see you here and Ginger and I seemed to need an arbitrator here.  

added

I've just looked at your answer properly and it is very easy to follow. (Easier than mine)

Thanks :)

Thanks for that correction.....I don't think that I'm fully awake yet....!!!!!

CPhill: You made a slight mistake in this part:

0 = 6 - 3x - 7  add 3x to both sides

3x = 6 - 7

3x = -1 divide both sides by 3

x = -1/3

Let's convert liters to cubic centimeters

1 L =   1000 cubic centimeters  = 1000cc

The vo,ume of the 1 marble  = .04 L  X      1000cc / 1 L  =   40 cc

So the volume of tank =  the volume of the  50 marbles plus the 33L of water =

[50 x 40cc] +  33 [ 1000cc]  =  35000cc

If he has 20L of water, then he has 20000cc of water

So.....the number of marbles required to fill the remainder of the tank =

Remaining volume to be filled / volume of each marble  =

[ 35000 - 20000] cc / 40cc   =

15000 / 40  =

375 marbles  .......just as the guest found !!!

0 = 2x(3/x - 3/2) - 7     distribute the 2x over the terms in the parentheses

0 = 6 - 3x - 7                combine like terms

0 = 13 - 3x                  add 3x to both sides

3x  = 13                       divide both sides by 3

x =  13 / 3

I think    {x|x < 0}     is read like this:   "x such that x is less than or equal to zero."

You can just read that vertical line like it says, "such that" ...that's how my teacher said it

Your question, as stated, doesn't make sense!!. There is a BIG difference between buying 5 items each at a specific discount, versus buying 1,000 items each at a specific discount to calculate their total discount.

What are you trying to add?? What is with 1/1?? If you are trying to add 1+2+3+.......+2015, then the answer is:

[2015 x 2016] / 2 =2,031,120

Liters are liquid measure. So, I don't understand how marbles have their volume calculated in liters!!

But, let us go on.........

50 x 0.04 = 2 liters - combined volume of the marbles.

When placed in the tank, their total volume will displace an equal volume of water, or:

2 liters + 33 liters =35 liters of water - the volume of the tank.

35 - 20 = 15 liters needed

15 / 0.04 = 375 marbles that Andrei must put in the tank.

0 = 2x(3/x - 3/2) - 7

2x(3/x - 3/2) - 7 = 0

Solve for x:
2 x (3/x - 3/2) - 7 = 0

2 (3/x - 3/2) x - 7 = -3 x - 1:
-3 x - 1 = 0

Multiply both sides by -1:
3 x + 1 = 0

Subtract 1 from both sides:
3 x = -1

Divide both sides by 3:
Answer: | x = -1/3

What is the solution to the system of equations below?y=-3x-9 and y= 1/3x-39

Equate the two equations:

-3x - 9 =1/3x - 39 isolate x to the LHS

-3x - 1/3x = -39 + 9

-3 1/3x = - 30 divideboth sides by -3 1/3

x = -30 / - 3 1/3

x = -30  *  -3/10

x = 90/10

x = 9 sub x in the 1st equation:

y = -3*9 - 9

y =- 36

graph y=2^x and explain your observations.

which of the following has the highest value?

-22

0.0099

0

-1

|-1| = 1  has the highest value

Which combination of numbers in this group has the highest value?

4+(-4) = 0

4*|-2| = 4*2 = 8  has the highest value

-4*|2| = - 8

|-4|*(-2) = 4*(-2) = - 8

4+2 = 6

Sorry young person. You still don't have a solid understanding of these kinds of financial problems. But, you will learn with practice! This question is VERY CLEAR. There is no room for ambiguity here.

You would be correct if the interest rate was compounded annually. Since all the periods are the same once you adjust time from years to months the interest rate is effective. The Captchas are getting stronger with stealth. They have disguised a kite as a blimp. I may not last much longer.

The payment of $442 is a MONTHLY payment. The interest rate is 3% compounded MONTHLY. Therefore, the interest rate =0.03/12 =0.0025 PER MONTH. The way you have written your equation, your interest rate is 3% PER MONTH!!, or 3% x 12 =36% Annual rate compounded MONTHLY!!. Can't you see it??.

Payment period = compounding period = time period

The interest rate is already effective. I still believe I am correct.

Many methods you could solve for n

Please read carefully Guest. Be safe battling the Captchas.

x*(1/x+2)=14

x/x + 2x = 14

1 + 2x = 14  subtract 1 from both sides

2x = 14 - 1

2x = 13        divide both sides by 2

x = 13/2

x = 6 1/2

Guest #1
Note that there is a direct solution for n in this case:
PV=P{[1 + R]^N - 1 / [1 + R]^N} / R
11,000 = 500 x {[1.005]^N - 1 / [1.005]^N} / 0.005
22 ={1.005^N - 1 / 1.005^N} / 0.005
0.11 = {1.005^N -1 / 1.005^N}, solve for N
[200/201]^N = 89/100 take the log of both sides
N = Log[89/100] / Log[200/201]
N = 23.365