Answer: $1,780
Step-by-step explanation:
Joy Wigens deposited 1/3 of the check of $2,670 that she received in her Citibank account.
The amount she deposited in her Citibank account was:
= 1/3 * 2,670
= $890
The amount she is left with after this deposit will therefore be:
= Check amount - deposit at Citibank
= 2,670 - 890
= $1,780
It's hard to type and hard to read the "inverse tangent" function, as you've seen (above).
So, use "arctan x" instead.
Then the problem becomes: "differentiate cos (arctan x)."
You must apply first the rule for differentiating the cosine function, and next apply the rule for differentiating the arctan function:
(d/dx) cos (arctan x) = - sin (arctan x) * [1/(1+x^2)]
It would be 9 because 2x9=18. Then 18+-2=16.
Answer:
Non-proportional; the rate of change is $40/hour
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>
Let
x -----> the number of hours
y ----> The total charge in dollars
The equation of the line in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have

substitute

This relationship is not proportional, because the line not passes through the origin
therefore
Non-proportional; the rate of change is $40/hour
Answer:
Yes.
Step-by-step explanation:
I don't really know how to explain this other than use a calculator.
Hope that this helps!