Answer:
Salary of President = $180,000
Salary of Dept. Head = $60,000
Step-by-step explanation:
The question is to find the salary of president and department head.
We let the salary of one of department heads be "x"
Since, the salary of president is THREE (3) TIMES a department head, we can say:
Salary of President = 3x
Now, we know the total of these 2 salaries is 240,000. Thus, we can write:
Salary of President + Salary of Dept. Head = 240,000
3x + x = 240,000
Now, we can solve for x:
And now the president is "3x", so his salary is:
3(60,000) = 180,000
Thus,
President's salary = 180,000
Dept head's salary = 60,000
Answer:
Step-by-step explanation:
The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of . From here we're in simplest form, since
or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.
Answer:
36 number of 2/3-pint bottles can be filled from a 24-pint container
Step-by-step explanation:
Volume of the container is 24 pint
Volume of the bottle is 2/3 pint
Number of 2/3 pint bottles that can be filled from 24 pint container is
36 number of 2/3-pint bottles can be filled from a 24-pint container
Answer:
660 mm
Step-by-step explanation:
we know that
The scale factor is
That means
1 unit in the model represent 15 units in the actual
or
1 m in the model represent 15 m in the actual
To find out the height of the model rocket, divide the height of the actual rocket by 15
so
Convert m to mm
Remember that
To convert meters to millimeters, multiply by 1,000
so
Answer:
a) t = 4
b) v = pi j + 5 k
c) rt = 1i + (pi t) j + (20 +5t )k
Step-by-step explanation:
You have the following vector equation for the position of a particle:
(1)
(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.
For a height of 20 you have:
(b) The velocity of the particle is the derivative, in time, of the vector position:
(2)
and for t=4 (height = 20):
(c) The vector parametric equation of the tangent line is given by:
(3)
ro: position of the particle for t=4
Then you replace ro and v in the equation (3):