Answer:

Step-by-step explanation:
Given
Straight Line, PS
Such that


Required
Find PS
From the attachment above, it can be seen that RS is a continuation of PS;
This implies that

Substitute
and 

Collect like terms


Hence, the length of PS is 
Answer:
3 - (n - 1) = 1/2(3n - 4)
Step-by-step explanation:
We want to write three minus the difference of a number and one equals one-half of the difference of three times the same number and four as an equation.
Let the number be n.
The first part is: three minus the difference of a number and one:
3 - (n - 1)
The second part is: one-half of the difference of three times the same number and four:
1/2(3n - 4)
Now, let us equate the first and second parts:
3 - (n - 1) = 1/2(3n - 4)
PS: I really do not understand the options
Answer:
A=152
K= -Ln(0.5)/14
Step-by-step explanation:
You can obtain two equations with the given information:
T(14 minutes) = 114◦C
T(28 minutes)=152◦C
Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

Applying the following property of exponentials numbers in (II):

Therefore
can be written as 
Replacing (I) in the previous equation:

Solving for k:
Subtracting 190 both sides, dividing by -76:

Applying the base e logarithm both sides:
Ln(0.5)= -14k
Dividing by -14:
k= -Ln(0.5)/14
Replacing k in (I) and solving for A:

Dividing by 0.5
A=152
Answer: b is the correct option
Step-by-step explanation:
Tamara earns her living as a salary plus commission employee. This means that the total amount she earns is not fixed.
Her annual salary is $48,000. There are 12 months in a year. This means
that her her monthly salary is 48000/12 = $4000
she earns 4% commission on all sales she makes.
If Tamara wants to make a total of $6,000 this month, it means that she wants to make an extra $2000($6000-$4000) this month. She can only make this from commission based on sales
Let the sales be x
4% of x = 2000
4/100 × x = 2000
0.04x = 2000
x= 2000/0.04 = $50000