Answer:
<h2>$503.5</h2>
Step-by-step explanation:
let the apprentice duration of work be x hours
so that the electrician worked (x+4)hours
53*(x+4)+22*x=624.50
opening the bracket we have
53x+212+22x=624.50
collect like terms we have
53x+22x+212=624.50
75x+212=624.50
75x=624.50-212
75x=412.5
divide both sides by 75 we have
x=412.5/75
x=5.5
The electrician worked a total of (x+4)
5.5+4=9.5 hours or 9hours 30min
given that the electrician earns $53 per hour
then,for the work he would make 53*9.5=$503.5
Using linear function concepts, it is found that:
a) The initial value is of 3 and the rate of change is of 20.
b) The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and also can be considered as the initial value.
In this problem, the function that gives the charge C for renting a bicycle for h hours is:

Item a:
Comparing to the standard function, we have that:
- The initial value is of 3 and the rate of change is of 20.
Item b:
The rate of change means that for <u>each hour, the cost increases by 3 Dhs</u>, while the initial value means that <u>a flat fee of 20 Dhs is paid</u>.
You can learn more about linear function concepts at brainly.com/question/24808124
Answer:
x = 66
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
The rule of exponential multiplication is (a^x)*(a^y)=a^(x+y)
using this with your expression, we can do
(10^1)*(10^3)*(10^2)=10^(1+3+2)=10^6
Final answer:
10^6 or 1 million
Hope I helped :)
Answer:
correct
Step-by-step explanation:
3(4)-2(4)+8=12
12-8+8=12
12=12