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.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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