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6 twos would be   12    subtract that from the total and you are left with 1.70    which is 17 ten pence(?) pieces ?

First add '3' to both sides of the equation to get

x^2 / 7 = 23     then multiply both sides by 7 to get:

x^2 = 161        Now, take the sqrt of both sides

x = sqrt(161) = 12.69

??? wat is tgis

3x + 2 = 6x - 2                                    [ - 6x - 2

- 3x = - 4                                              [ / -3 

x = \(\frac {4}{3}\)

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But according to all of our former banking questions the interest rate would be 100% compounded daily for 30 days with an P of 1 cent, which would yield:

Fv = Pv (1+1)^30 = 1 (2)^30 = 107341824 at the end of the 30th day....as y'all calculated.....you are right!

I guess I would see it better as doubling it 30 TIMES as opposed to doubling it 30 DAYS.  !!!

what question

It all depends on how you interpret the question.....I guess both could be viewed as correct.

My view:

If you put the penny in a bank (that would be day 1).....it would not be doubled until the next day (day2).  The penny does not double on the first day....it would be double after 24 hours, otherwise you are STARTING with two pennies.

But I can see it your way too...except if you have a day ZERO and then compute for 30 more days you are using 31 days, not 30.     YMMV !!!

My bad again

0 = 15,3525   /  (8-x)

A(n) = 2 + 11*n

A(40) = 2 + 11*40 → 442

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Bin A  has one white ball and four black b***s. Bin B  has three b***s labeled $1 and one ball labeled $7 . Bin W has five b***s labeled $8 and one ball labeled $500. A game is played as follows: a ball is randomly selected from bin A . If it is black, then a ball is randomly selected from bin B ;otherwise, if the original ball is white, then a ball is randomly selected from bin  W. You win the amount printed on the second ball selected. What is your expected win?

E =  p(A= black)*(p(B=$1)*$1 + p(B=$7)*$7) + p(A=white)*(p(W=$8)*$8 + p(W=$500)*$500)

E =  4/5*(3/4*$1 + 1/4*$7) + 1/5*(5/6*$8 + 1/6*$500)

E = $2 + $108/6 

E= $2 + $18

E = $20

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Thanks Ginger, I am questioning your  0.8889  and your 0.1111

I think the first one is  5 eight dollar b***s out of 6 b***s = 5/6  = 0.83 repeater

and the second one is 1 five hundred dollar ball out of 6 b***s =1/6 =  0.16 repeater

I MUCKED this up when I edited it to make it neat. I can't blame it on a banana allergy.

The sums were/are correct for the correct values, so the answer stays the same

Here's the corrected version.

Black Ball probability 0.80

                                $1 Ball drawn probability 0.75    Expected Value = 0.80 * 0.75 * 1 =  $0.60 

                                $7 Ball drawn probability 0.25    Expected Value = 0.80 *0.25 * 7 =   $1.40

                                                                                                                          Sum         $2.00

White Ball probability 0.20

                                $8     Ball drawn probability 0.889    Expected Value = 0.20 * 0.8889 * 8    =    $1.42

                                $500 Ball drawn probability 0.111    Expected Value = 0.20 * 0.1111 * 500 =   $11.11

                                                                                                                                          Sum       $12.53

                                                                                 Sum of expected values   2.00 + 12.53 = 14.53

Expected win per play $14.53

I'll explain the logic below.

A few years ago, I was in a sports lounge watching a football (American) game. One of the teams was kicking for a field goal and an intoxicated patron bet $10 the team would be successful. They weren’t.  The ball hit the goalpost and bounced off. 

A minute later, a replay came on and the patron made the same bet. He, of course, lost. When asked why he’d make such a bet, he replied that he couldn’t believe they do the same thing twice.   

Tertre has double posted here

Hi Ginger - it is nice to see you here

    Tertre please do not double post like this !!!    

You can repost if you want but link the repost to the original question so that it is not double answered.

Like this

find out what n Is in ths equation (20n+20)/4 =15

(20n+20)/4 =15   |*4

      20n+20=60   |-20

            20n=40   |:20

                n=2

Simplify the following:
(sqrt(2)+i sqrt(3))×i sqrt(6)-sqrt(2) (2 i sqrt(2)-3)+i (6/sqrt(6)-(6)/sqrt(3))

Rationalize the denominator. 6/sqrt(6) = 6/sqrt(6)×(sqrt(6))/(sqrt(6)) = (6 sqrt(6))/(6):
(sqrt(2)+i sqrt(3))×i sqrt(6)-sqrt(2) (2 i sqrt(2)-3)+i ((6 sqrt(6))/(6)-(6)/sqrt(3))

(6 sqrt(6))/(6) = 6/6×sqrt(6) = sqrt(6):
(sqrt(2)+i sqrt(3))×i sqrt(6)-sqrt(2) (2 i sqrt(2)-3)+i (sqrt(6)-(6)/sqrt(3))

Rationalize the denominator. (-6)/sqrt(3) = (-6)/sqrt(3)×(sqrt(3))/(sqrt(3)) = (-6 sqrt(3))/(3):
(sqrt(2)+i sqrt(3))×i sqrt(6)-sqrt(2) (2 i sqrt(2)-3)+i (sqrt(6)+(-6 sqrt(3))/(3))

(-6)/3 = (3 (-2))/3 = -2:
(sqrt(2)+i sqrt(3))×i sqrt(6)-sqrt(2) (2 i sqrt(2)-3)+i (sqrt(6)+-2 sqrt(3))

sqrt(6) (sqrt(2)+i sqrt(3)) = 3 i sqrt(2)+2 sqrt(3):
3 i sqrt(2)+2 sqrt(3) i-sqrt(2) (2 i sqrt(2)-3)+i (sqrt(6)-2 sqrt(3))

i (3 i sqrt(2)+2 sqrt(3)) = 2 i sqrt(3)-3 sqrt(2):
2 i sqrt(3)-3 sqrt(2)-sqrt(2) (2 i sqrt(2)-3)+i (sqrt(6)-2 sqrt(3))

-(2 i sqrt(2)-3) = 3+-2 i sqrt(2):
-3 sqrt(2)+2 i sqrt(3)+sqrt(2) 3-2 i sqrt(2)+i (sqrt(6)-2 sqrt(3))

sqrt(2) (3+-2 i sqrt(2)) = -4 i+3 sqrt(2):
-3 sqrt(2)+2 i sqrt(3)+-4 i+3 sqrt(2)+i (sqrt(6)-2 sqrt(3))

Add like terms. -3 sqrt(2)+2 i sqrt(3)-4 i+3 sqrt(2)+i (sqrt(6)-2 sqrt(3)) = -4 i+2 i sqrt(3)+i (sqrt(6)-2 sqrt(3)):
-4 i+2 i sqrt(3)+i (sqrt(6)-2 sqrt(3))

Factor i from -4 i+2 i sqrt(3)+i (sqrt(6)-2 sqrt(3)):
i (-4+2 sqrt(3)-2 sqrt(3)+sqrt(6))

Add like terms. -4+2 sqrt(3)-2 sqrt(3)+sqrt(6) = sqrt(6)-4:
Answer: |i (sqrt(6) - 4)

It depends whether the deposits are made at the beginning of or at the end of each month:

1) =$364.94 you must deposit at the end of each month @7% comp. monthly.

2) =$362.82 you must deposit at the beginning of each month @ 7% comp. monthly.

3) The formula you use to calculate this is: FV=P{[1 + R]^N - 1/ R}=FV OF $1 PER PERIOD.

Where R=Interest rate per period, N=number of periods, P=periodic payment, FV=Future value.

(√2 + i√3) * i√6 - √2 * (2i√2 - 3) + i * (6/√6 - 6/√3) =

Imagine you are watching a video on delay of 8 minutes of say a sports match. Without going in to relativity the sports game is happening in the present but from you are just looking at it in the past.

This could be applied to the delay of the sun.

Q:Why x<-1 or x>1 is not correct?

A; Try substituting any number in the range x<-1 or x>1 into the original inequation (x^2 <1), that doesn't fit in the original inequation. You will get something like 3<1 or 1>4.

-2x + 13 = 7

        -2x = -6

           x = 3

13x + 3 = -10

13x = -13

x = -1.

See your original post.