Answer:
Total pay = 400+ 1650* 5/100= 482,5 $
Step-by-step explanation:
Answer:
He must sell $14000 of merchandise
Step-by-step explanation:
The salesperson earns a base salary of $800
This means that he must make
$3600 - $800 = $2800 worth of commisions
Let x, be the value of the mechandise that he needs to sell.
This means that
x*0.20 = $2800
x = $2800/0.20
x = $14000
He must sell $14000 of merchandise
Because the cosine and sine must be negative when evaluated in theta, the angle lies on the third quadrant.
<h3>
In which quadrant is the endpoint of the segment that defines the angle?</h3>
We know that if:
- cos(θ) > 0, then we are on the first or fourth quadrant
- sin(θ) > 0, then we are on first or second quadrant.
Here we know that:
sec(θ) < 0
And we know that:
sec(θ) = 1/cos(θ)
Then we have cos(θ) < 0
We also have that:
sec(θ)*csc(θ) > 0
Because sec(θ) < 0, we must have that csc(θ) < 0.
Remember: csc(θ) = 1/sen(θ)
Then sen(θ) < 0.
Then we have the two conditions:
sen(θ) < 0
cos(θ) < 0
- The cosine is negative on the third and second quadrants.
- The sine is negative on the third and fourth quadrants.
The only quadrant where both are negative is the third quadrant, so that is the correct option.
If you want to learn more about trigonometric functions:
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Answer:
Least common denominator is 6x^2
Step-by-step explanation:
Here we have denominators x and 6x^2
we take the factors for x and 6x^2
x ---> x
6x^2 ----> 3 * 2* x*x
WE have x in common
To get LCD we multiply all the numbers but repeated x only once
LCD is 3*2*x*x that is 6x^2
Least common denominator is 6x^2
The remainder when f(x)=−2x3+x2−4x+1 is divided by x+3. is 76
<h3>How to determine the remainder?</h3>
The function is given as:
f(x)=−2x3+x2−4x+1 is divided by x+3.
Set the divisor to 0
x + 3 = 0
Solve for x
x = -3
Calculate f(-3)
f(-3)=−2(-3)^3+(-3)^2 − 4(-3) + 1
Evaluate the expression
f(-3)= 76
Hence, the remainder when f(x)=−2x3+x2−4x+1 is divided by x+3. is 76
Read more about remainder theorem at:
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