Answer:
B
Step-by-step explanation:
The average of paid time off is the sum of the paid time off (T) of each employee divided by the number of employees(n):
av = (∑T)/n
Thus, av is directly proportional to the sum of T and indirectly proportional to n. It means that if T raises, the average raises too. So, the manager must fire the employees who have the least number of days off, so T will increase.
To solve for the system of equations, I will write the equation down as I rewrite the written form.
a number, n, (n) is added to 15 less than 3 times itself (+3n -15). The result is (=) 101. (101)
Now let's write only what's in the parenthesis.
n + 3n -15 = 101.
The correctly written form in your answers is:
3n - 15 + n = 101, your first answer.
Answer:
C. A horizontal stretch to produce a period of 
and a vertical compression.
Step-by-step explanation:
We are given the parent function as 
It is given that, transformations are applied to the parent function in order to obtain the function 
i.e. 
That is, we see that,
The parent function is stretched horizontally by the factor of 
which gives the function 
.
Further, the function is compressed vertically by the factor of which gives the function .
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period 
.
Since, the period of is 
, so the period of is 
=
Hence, we get option C is correct.
Answer: the total amount that you can earn in 15 years is $737245. Option C
Step-by-step explanation:
You receive an annual salary of $32,900 and each year, you are assured of a 5.5% raise. Assuming there was no raise, you get 100% of your previous salary each year. With a raise of 5.5%, you will get 100 + 5.5 = 105.5% of your previous salary for each year. This is a geometric progression and we want to determine the sum of 15 terms(15 years).
The formula for the sum of terms in a geometric progression is
Sn = [a(r^n - 1)]/ r - 1
Sn = sum of n terms
a = the first term
n = number of terms
r = common ratio
From the information given,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649 - 1)] / 0.055
S15 = 32900 × 1.23247649) / 0.055
S15 = 737245.0277
S15 = $737245
Answer: I have included an image of the correct answer.
They are skew lines
