ElectricPavlov

4m-4n = 7- 7n                  3/2 n = 4-2m

4m + 3n = 7                      3n = 8-4m

                                          3n + 4m = 8

4m+3n = 7                         4m + 3n = 8        Hmmmmm looks like NO solutions !

  What can I say.... I can't type worth a dhit .... haha

Solve the system of equations

5x-2y=16     <===== multiply this equation by -3 to get

-15x+6y= - 48     now add to the other equation ( the 15x will cancel out)

15x-7y=51

      - y = 3

        y = -3      now sustitute this value of y into any of the equations to calculate the value of 'x'

 Work = force * distance 

      j   = N * m                

Is that   2n    or 2ⁿ

^{if 2n}         1/16  sqrt 2 = n     not a fraction

so maybe it was 2ⁿ

2^n = 1/8 sqrt 2      log 2 both sides

n == -3 + .5  == - 2.5

Suppose you invest $150 a month for 8 years into an account earning 9% compounded monthly. After 8 years, you leave the money, without making additional deposits, in the account for another 29 years. How much will you have in the end?

Assuming the money is put into the account at THE BEGINNING of the month

FV = pmt { (1+i)^n -1)/i }   * (1+ i )          n = 8 * 12 = 96     i = .09/12    pmt = 150

     = 21135.76    after 8 years

then   21 135.76 ( 1.0075) ^29*12  =284 640 .66

Assuming the money is put into the account at THE END of the month

  pmt { ((1+i)ⁿ -1)/i) }  = 20978.42

then   20978.42 (1.0075)^29*12  = 282 521 .79

John is 25 years old and wants to have 1 million dollars in savings by the time he retires at 65. He plans to open a savings account that pays 4% interest compounded quarterly and he will be making $200 quarterly deposits into the account.

You are looking for the future value of an ordinary annuity   at 40 years from now

period = 4 / year      total periods = 40 * 4 = 160 periods = n

Interest per period = .04 / 4 = .01    =   i  

payments = 200 per period

FV = pmt *{ (1 +i)ⁿ -1}/ i      =  78,276.53    <===== well short of 1 000 000   that he wants !  (he needs to deposit 2555.04 per quarter)

16 < n < 400

   17  thru 399   is   383 positive integers

x = original

area = x * x = x^2

now add 6

(x+6)* (x+6) = 16 x^2

-15x^2  + 12x + 36 = 0        Quadratic Formula shows x = 2 units

It takes each of them 4 hours alone

1/ (1/4 + 1/4 + 1/4) =  4/3 hr if they all work on it