ElectricPavlov

First one    remember    rate x time = distance       or     distance/rate = time

45 km / 54 km/hr = .8333333 = 5/6 hr

he drove a total of    45 km  + 42 km = 87 km     in   5/6 hr + 35/60 hr

87 km /(5/6+ 35/60)hr  = 61.4  km/hr

Put x = 5   into the equation and compute    5-1  / 5+1   = 4/6     this is  f(5)

   now put   4/6 in the equation and compute    this will be  f f(5)

     finally take the last answer you derived and put it in for x in the equation   this will be   f f f(5)

Here is a Venn Diagram of this situation:

2  4   8       common ratio, r = 2

3   8    13   common difference, d= 5

(3x - 8)(3x+8)

n = 0     should work  

Put in x = 0     calculate y    this is the   y -axis intercept   (0,y)

Put in y = 0     calculate x    this is the   x axis intercept     (x,0)

Then use distance formula to calculate the distance between the two points ...... 

You're welcome ! 

say the sides of the tank are 8    (for ease)

tank one sphere volume = 4/3 pi r^3    = 4/3 pi 8                        = 4/3 pi 2^3

tank 2                                 4/3 pi r^3  =   4/3 pi 1^3  x 8 spheres = 4/3 pi 2^3

tank3                                  4/3 pi r^3  = 4/3 pi 1/2^3  x 64 sphere=  4/3 pi 2^3  

Looks like they will all hold the same amount of water !!!!

thp = 1000x - x

This is just flat rate taxation.    rate .001   or  .1 %

There is something incorrect in your question.....as long as I have greater income I will have greater take home pay.....so there is no limit (or answer) on take home pay.....    what is the taxation again?

100 000       would only have   100 tax

1000 000   would only have  1000  tax     

Higher incomes will always have higher THP