Answer:
Step-by-step explanation:
Equation is y= 200x+30000
Table in order goes 30000, 30200, 30400, 30600, 30800
To graph your y intercept would be 30000 and slope is 200
Uh I don’t think the question or answer choices are typed in correctly, I’ll help once it is
Answer: x = pi/6 and x = pi/3.
Step-by-step explanation:
We have the function:
y = x + 2*cos(x)
It will have a horizontal tangent at the point where it's derivate is equal to zero.
Then first let's differentiate y.
y' = dy/dx = 1 - 2*sin(x).
Then we must find the value of x between 0 and 2*pi (or 0° and 360°)
y'(x) = 1 - 2*sin(x) = 0.
Let's solve that:
2*sin(x) = 1
sin(x) = 1/2.
We know that:
sin(30°) = 1/2.
and
Sin(120°) = 1/2
Then let's convert 30° into radians.
We know that:
pi = 180°.
Then:
pi/180° = 1.
30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6
120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.
Then the two values of x are: pi/6 and pi/3.
Figure out 5% of 30,000: .05 x 30,000 = 1,500
Multiply 1,500 by the number years, but subtract the first year (as you don't receive a bonus) : 1,500 x 39 = 58,500
Now add the bonus with the initial salary: 58,500 + 30,000 = 88,500.
THE ANSWER IS $88,500!!! :)
