(a)
We are given
A worker on the production line is paid a base salary of $230.00 per week
so, base salary =230
Let's assume number pencils produced as x
plus $0.78 for each unit produced
now, we can find equation for earnings

now, we are given
her earnings of $446.84 for a week when she produced x units
so, we can set E(x)=446.84
and then we can solve for x







so, number of pencils = 278........Answer
(b)
If the worker had produced twice that number of units
so, number of pencils =2*278=556
now, we can find earnings

now, we can plug x=556

.................Answer
Answer: $36800
Step-by-step explanation:
Principal= $23000
Rate=6%
Time= 10years
Simple interest= Principal×Rate×Time / 100
= 23000×6×10 / 100
= 1380000/100
= $13800
Amount= Principal+Interest
= 23000+13800
= $36800
Answer: { x | 5 < x ≤ 100 } OR { x ∈ ℝ | 5 < x ≤ 100 }
Step-by-step explanation:
{ x | 5 < x ≤ 100 }
This means:
"The set of all x's, such that x is greater than 5 and less than or equal to 100"
Another acceptable way to write this is
{ x ∈ ℝ | 5 < x ≤ 100 }
"x ∈ ℝ" simply means x is an element of all real numbers
You can cut 15.4 pieces or rounded to 15 pieces just take 12.32 and divide by 0.8 giving you 15.4
Equivalent expressions are expressions of equal values
The simplified expression of (3 - 4i) + (7 - 6i) is 
The expression is given as:

Remove brackets in the above expression

Rewrite the expression by collecting the like terms

Next, evaluate the like terms

Hence, the simplified expression of (3 - 4i) + (7 - 6i) is 
Read more about equivalent expressions at:
brainly.com/question/2972832