A father of 12 at death orders his lawyer to share his properties amongest his 12 sons. if the man is worth 12.3 million, and each son receive 175 more than the next oldest. How much would the youngest son worth after the will has been shared?

Step-by-step explanation:

The man has twelve sons. So we need an equation that has twelve numbers added to 12.3 million.  The youngest son's share is what we want to find, so set it to x.  Each son older will have 175 more than the one younger than him.

So the next to youngest will have x+175(1) and the next will have x+175(2) and so on to the twelfth one.

So

x + x+175 + x+175(2) + x+175(3) + x+175(4) + x+175(5) + x+175(6) + x+175(7) + x+175(8) + x+175(9) + x+175(10) + x+175(11) = 12,300,000

Now simplify.  Add all the x's and multiply all the numbers.

12x + 350+525+700+875+1050+1225+1400+1575+1750+1925+2100=12,300,000

Continue to simplify by adding.

12x+13,475=12,300,000   Now simplify by subtracting the non 'x' number from both sides

12x+13,475-13,475=12,300,000-13,475

12x=12,286,525  Now simplify by dividing both sides by 12.

x = 1,023,877.08

The youngest son will inherit 1,023,877.08.

There should be a unit:$, pounds, something.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.