Answer:
Results are below.
Step-by-step explanation:
<u>First, we need to calculate the variable income per job:</u>
<u />
First job= 450 - 150= 300
Second job= 675 - 150= 525
<u>Now, the hourly rate:</u>
<u></u>
Hourly rate= total variable income / number of hours
First job= 300 / 4= $75
Second job= 525 / 3= $175
It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour
Answer: 11 months
Step-by-step explanation:
Let the number of months that it will take him to reach his goal be represented by x.
Based on the information given in the question, this can be formed into an equation as:
8 + 4x = 52
4x = 52 - 8
4x = 44
x = 44/4
x = 11
It will take 11 months to reach the goal
Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!
Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8
Answer:
B
Step-by-step explanation:
We are given that <em>x</em> and <em>y</em> are functions of time <em>t</em> such that <em>x</em> and <em>y</em> is a constant. So, we can write the following equation:
The rate of change of <em>x</em> and the rate of change of <em>y</em> with respect to time <em>t</em> is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to <em>t: </em>
<em />![\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5CBig%5Bx%28t%29%2By%28t%29%5CBig%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bk%5D)
<em />
Remember that the derivative of a constant is always 0. Therefore:
And by subtracting dy/dt from both sides, we acquire:
Hence, our answer is B.
Answer:
(2/3,2)
Step-by-step explanation:
3*2/3+4
simplify 2=2
