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.

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 =

Basic rate =

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 =

Number of overtime hours =

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.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: