A Hudson Valley farmer has 26 employees. He pays each employee $410 per week. After paying his workers for one week, the farmer has $126 left in his bank account. How much money did he have to begin with.

Given:

A Hudson Valley farmer has 26 employees.

Salary of each employee = $410 per week.

Remaining amount after one week = $126

To find:

The initial amount of money he begins with.

Solution:

We have,

Amount he pays to one employee in one week = $410

Amount he pays to 26 employee in one week = 26 × $410

                                                                             = $10660

Let x be the initial amount of money he begins with.

Remaining amount = Initial amount - Amount he pays to 26 employee in one week

Therefore, the initial amount of money he begins with is $10786.

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form