Answer:
Width = 
Step-by-step explanation:
All we have to do is to use the method of changing the subject. First we know that length * width is equal to area.
Area = length * width
We have the area and the length but we don't have the width. So we substitute the values we have int the equation and make the width (w) the subject.
(c^2 - 4x - 12) = (x + 2) * w
(c^2 - 4x - 12) = w(x +2)
Divide both sides by (x+2) so w can stand alone.
w =
Before her promotion, Mitch was receiving $40,000 per year
after tax. Since the loan payment is 4%, therefore the money that goes to the
loan is:
Loan payment = $40,000 * 0.04
Loan payment = $1,600
After her promotion, Mitch is now receiving:
New salary = $40,000
* 1.25
New salary = $50,000
Therefore the new loan payment becomes:
New loan payment = $50,000 * 0.04
New loan payment = $2,000
Therefore Mitch is paying an extra payment of:
$2,000 - $1,600 = $400
Answer: $400
Answer:
17) 
18) 
19) 
20) 
Step-by-step explanation:
Answer:
Nico
Step-by-step explanation:
In order to compare who had the best performance on the aptitude test, we can use Z score. Z score indicates how many standard deviation a result is over the mean. For this case the higher the result is, the best is the performance on the aptitude test.
Z score is expressed with the following formula:
Z=(X-μ)/σ
Where:
X is the test score
µ is the mean
σ is the standard deviation
Replacing in the formula we obtained
For Nico:
X = 88.3
µ = 66.2
σ = 13
Z=(88.3-66.2)/13=1.7
For Justin:
X = 226.2
µ = 216
σ = 17
Z=(226.2-216)/17=0.6
For Tera:
X = 7.97
µ = 7.2
σ = 0.7
Z=(7.97-7.2)/0.7=1.1
Nico had the higher Z score which means he had the better performance on the test and he should be offered the job.
