Each of 16 store cashiers worked an average of 21 hours per week and are paid $8.25 per hour. After the store manager hires 2 additional cashiers, each cashier will be paid $0.25 more per hour and will work an average of 1.5 fewer hours per week. What will be the change in the total amount of money the cashiers are paid each week?

$211.50

Step-by-step explanation:

Initially:

21 hours per week at 8.25 per hours means:

21 * 8.25 = 173.25 dollars per person

16 person = 16 * 173.25 = $2772 (total)

2nd phase:

2 more cashier = 16 + 2 = 18 cashiers

Per hour 0.25 more, so 8.25 + 0.25 = $8.50 per hour

1.5 hrs less than 21, so 21 - 1.5 = 19.5 hours

Hence,

18 * 19.5 * 8.50 = $2983.50 (new total)

Change in money paid = 2983.50 - 2772 = $211.50

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).