Mathematics, 06.12.2020 03:50 aron7596

2. At a chemical factory, the basic week is 40 hours. During a particular week Mr. James earned a gross wage of $518.00, but $148.00 was for overtime. a. Calculate Mr. James’ basic rate of payment.
b. If overtime was paid for at double-time, calculate how many hours Mr. James worked overtime.

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Answer from: kissesforlester7097

a. Mr. James' basic rate of payment is $9.25 per hour

b. Mr. James worked 8 hours overtime.

Step-by-step explanation:

Given that:

Hours of a basic week = 40 hours

Gross wage earned = $518.00

Amount of overtime = $148.00

We will subtract this amount from gross wage to calculate the basic weekly wage.

Basic weekly wage = 518.00 - 148.00 = $370

a. Calculate Mr. James’ basic rate of payment.

Basic rate = $\frac{Weekly\ wage}{Week\ hours}$

Basic rate = $\frac{370}{40}$

Basic rate = $9.25 per hour

b. If overtime was paid for at double-time, calculate how many hours Mr. James worked overtime.

Double time overtime means that the hourly wage is doubled for every overtime hour.

Per hour overtime wage = $9.25*2 = $18.50

Number of overtime hours = $\frac{Total\ overtime\ amount}{Per\ overtime\ hour\ wage}$

Number of overtime hours = $\frac{148.00}{18.50}$

Number of overtime hours = 8

Hence,

a. Mr. James' basic rate of payment is $9.25 per hour

b. Mr. James worked 8 hours overtime.

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation:

Answer from: Quest

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2. At a chemical factory, the basic week is 40 hours. During a particular week Mr. James earned a gr...