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The best way to find this is by dividing 17 by 11.

17/11 = 1.5454545454545455

Since the answer has fractions and does not divide properly, the answer to this would be 0, but to give you a better idea of what tis means, I will demonstrate with a different problem.

Ex- How many times does 6 go into 24?

24/6=4

6 would go into 24 four times.

83.3 recurring is the same as \(83\frac{1}{3}\)

1.3 recurring is the same as \(1\frac{1}{3}\)

So your problem is equivalent to \(\frac{83\frac{1}{3}}{1\frac{1}{3}}\)

To be clearer, make them both into improper fractions.

Multiply the whole number by the denominator and add it to the numerator.

For the top, 83*3=249

Adding that to the numerator gives 250.

For the bottom, 1*3=3

Adding that to the numerator gives 4.

\(\frac{\frac{250}{3}}{\frac{4}{3}}\)

Anything divided by a fraction is the same as it multiplied by the fraction's reciprocal.

\(\frac{250}{3}*\frac{3}{4}\)

250*3=750

3*4=12

\(\frac{750}{12}\)

Simplify

\(\frac{750}{12}=\frac{375}{6}\)

That is as far as that fraction can be simplified, but it is equivalent to 62.5

\(\frac{750}{12}=\frac{375}{6}=62.5\)

First, you have to convert both interest rates from compounded daily to compounded monthly:

15.9% = 16.00% compounded monthly.

14.20%=14.28% compounded monthly.

Then you would have to use this formula to calculate the monthly payment or the number of months required to pay off the loan: PMT=PV. R.{[1 + R]^N/ [1 + R]^N - 1}

Unfortunately, there is no direct solution for N, or number of months, at least not an easy one!. See the note below. However, if you have a financial calculator and enter all the variables in, you should get N =15.19 months on the first card @ 15.9%.

[15.19  x  $350]  -  $4,785 =$531.50 Total interest on the 15.9% card.

And N =15.01 months on the second card @ 14.2%

[15.01  x  $350]  -  $4,785 =$468.5 Total interest on the 14.2% card.

You can subtract the bottom from the top to get the difference.

@2% on $4,785 =$95.70 Check he will get in the mail on the 15.9% card.

And $100 he will get on opening a new account on the second card @ 14.2%

$531.50 - $95.70 =$435.80 Net cost on the first card @ 15.9%

$468.50 - $100   =$368.50 Net cost on the second card @ 14.2%.

Now, you can see the net difference by subtracting one from the other.

Note: There is a relatively involved formula for finding N, or the number of months, and it looks like this: N =Log[(-FV*R+PMT) /(R*PV+PMT) ] / Log[R+1]

Yeah I seen it, I understand it now thanks to you!.

See my answer under your earlier post.....

Here's the last one....it's could be little tricky, NSS.....but.....turns out....it isn't  !!!

Let  x  be the lbs  of peanuts, y be the lbs of almonds and z be the lbs of raisins

Since we have 11 lbs total, one of the equations is

x  + y +   z  = 11

And we need twice as many lbs of peanuts as almonds

So

2y  = x

Finally......

Price per pound of each type * cost per pound of each type  = total cost

In math terms this gives us

1.50x  + 3.00y  + 1.50z  = 21 

AHA!!....notice, NSS, that we don't really have to do ANY MATH from this point forward......look at the third answer.....it's the only one where the number of pounds of peanuts is twice the number of pounds of almonds .....!!!!!

Let's verify that this is correct

1.50 (6)  + 3.00 (3)  + 1.50 (2)  =

9   + 9   +  3   =

$21  ......!!!!

This just proves that, sometimes, reading the problem and looking at the answers makes more sense than doing a lot of complicated math!!!

nothing happens on friday the 13th youll all be fine!!

well whats the situation right now? dont wanna do hw? dont wanna do chores? 

2x  - y  + z  =  - 4

              z   =   5

-2x  + 3y  - z  = -10

Since we know that z  = 5......put this into equations one and three and we have

2x - y  + 5  = -4  →   2x  - y   = -9  →    y  = 2x  +  9    (4)

-2x + 3y  -5  = -10  → - 2x + 3y = -5    (5)

Sub  (4)  into (5)  for y   and we have that

-2x + 3 [2x + 9]  = -5

-2x + 6x + 27  = -5    subtract 27 from both sides

4x  = -32       divide both sides by 4

x  = -8

Put this into (4)  to find y

y = 2(-8) + 9

y = -16 + 9

y = -7

So  ...  { x, y, z }  = { -8, -7, 5 }

Im not sure about your question.

if the question is  -3/4x  < -6

then -3  < -24x

3 > 24x

3/24 > x

x < 1/8

if the question is -3/4  x  < -6

that means  -3x / 4 < -6

-3x < -24

3x > 24

x>8

All the best!

x +  5y  - 4z  = -10    multiply through by  -2   →   -2x - 10y + 8z  = 20   (1)  

2x - y + 5z  =  -9         (2)

2x  - 10y - 5z  =   0     (3)

Add  (1)  and (2)  ......this gives

-11y  + 13z  =  11      (4)

Add (1)  and (3).....this gives

-20y + 3z  = 20      (5)

Multiply  (4)  by   3   and (5)  by -13   and we have

-33y + 39z  = 33

260y - 39z = -260        add these

227 y  = -227          divide both sides by 227

y  = -1

Subbing this into  (4)  gives that     -11(-1) + 13z = 11   → 11 + 13z  =11 

Subtract 11 from both sides →   13z  = 0         which implies that z  =0

Subbing these values into  (2)   we have that

2x - (-1) + 5(0)  = -9

2x + 1  =  -9

2x  = -10     divide by 2

x  = -5

So  { x, y, z}  =  { -5, -1, 0 }

Rani's interest rate would be: 2.75 + 1 =3.75% compounded semi-annually.

You have to convert the above rate to compounded monthly =3.72103442307%

Then you have to use this formula to calculate the monthly payment or the number of months needed to pay off the loan: PMT=PV. R.{[1 + R]^N/ [1 + R]^N - 1}

Unfortunately, there is no direct method of finding the number of months, N, to pay off the line of credit @ $700 per month.  See the note below. However, if you have a financial calculator and you enter all the known variables and solve for N, you should get N =80.87 or ~81 months.

Total interest would be: [80.87  x  $700]  -  $50,000 =$6,609.00...........(1)

If she could afford to pay $1,200 per month, then it would take, N=44.68 months.

Total interest would be:[44.68  x  $1,200]  -  $50,000 =$3,616.00............(2)

Just subtract (2) from (1) above to get the difference in interest that she would save.

Note: There is a relatively involved formula for finding N, or the number of months and it looks like this:  N =Log[(-FV*R+PMT) /(R*PV+PMT)] / Log[R+1]

Once?

Very Helpful! 

Divide both sides by -3/4.

You get x>8.

Singing in the shower is fun until the people living below (or above) your floor start yelling at you.

What's the compounded balance with p=$100.00, r=6% (annually), years=4

FV = PV [1 + R]^N

FV =$100[1 + 0.06]^4

FV =$100 x 1.06^4

FV =$126.25

336 / 65 =5.16923 x 100 =516.923% Larger.

Expand the following:
(x + 2) (x - 6) (x + 9)

Hint: | Multiply x - 6 and x + 9 together using FOIL.
(x - 6) (x + 9) = (x) (x) + (x) (9) + (-6) (x) + (-6) (9) = x^2 + 9 x - 6 x - 54 = x^2 + 3 x - 54:
x^2 + 3 x - 54 (x + 2)

Hint: | Multiply out (x + 2) (x^2 + 3 x - 54).
 | | | | x | + | 2
 | | x^2 | + | 3 x | - | 54
 | | | | -54 x | - | 108
 | | 3 x^2 | + | 6 x | + | 0
x^3 | + | 2 x^2 | + | 0 x | + | 0
x^3 | + | 5 x^2 | - | 48 x | - | 108:
 x^3 + 5 x^2 - 48 x - 108

$10,000,000 x 0.5/100 =$50,000 Interest paid by the Bank to US government.

$10,000,000 x 4.65/100 =$465,000 Interest earned by the Bank.

Note: From this, you might think that the cost to US government would the difference between the above two amounts. But, in fact, that is not so !!. Why? Because the bond may not have been purchased from the US government but from the secondary market trading in US securities. The true cost to the US government would the interest rate or the coupon rate at which the original bond was issued. It may be above 4.65% or significantly below it.

Do an amortization schedule such as this one and you can get most of your answers from it:

http://www.calculator.net/amortization-calculator.html?cloanamount=256500&cloanterm=20&cinterestrate=4.11456819&printit=0&x=46&y=19

singing in the shower is allways fun untill you get soap in your mouth and it turns into a soap opra. not.cool.

yup! 

Good thing about today is Voltron S4 comes out today!!