ElectricPavlov

You won't get an answer for this.... the second and third numbers cancel and you are left with a VERY large number which is > 1    

  Cos has to be between -1 and 1 inclusive

See how we solved the previous question and repeat the procedure for this simple problem......Learn !  Don't just ask for answers.....

If we assume her annual bonus comes at the end of the year, her first job choice pays 4200/mo

The second job pays 3700 month

So we will never be equal in the first year

At the end of the first year Job 1 will have paid 4200 x 12 + 4500 = 54900

                                           Job 2                       3700 x 12 +500   =   44900

SO actually they will never be equal....Job 1 will always be ahead.....it has a higher monthly pay AND a bigger annual bonus.

-3 * x = -1    Divide both sides by -3

x = 1/3    

5/8    just use the calculator to divide 5 by 8

I think you can do the second one too  just divide  3 by 5 for your answer....

Seriously?   Just use the calculator......

Zero-Point-Six   is the same as   Six tenths   6/10     or 3/5 simplified.

You are looking for the angles between 0 degrees and 180 degrees where sin = .5

arcsin(.5) = 30 degrees and 150 degrees

What do you want to do with this?

Do you have any more info?  Like quantity information?  I do not think I can answer this with the info given, but I will try

fixed costs are 100 so if you make 1 widget it will cost  104 which would be the break even price

2 widgets would cost you 116 and the break even would be 58

5 widgets would cost you  200   and the break even would be 40

10 widgets would be 500                                                       50

You see?  without quantity information I don't think I can answer your minimum price for a profit.....

Though I can say the cheapest widget would be at a quantity of 5 at break-even price of  40   Maybe that is the answer for which you are looking?

if you graph    (100 + 4x^2)/ x   (this is the price per widget)    you will see the minimum cost per widget point of 40 at quantity of 5

Anyone else care to chime in???